









*4 /tfV '!« (fj '1 »1 '1 ' 1 < . , I ,' ■ , ,' 




A SYSTEM OF 
GEOMETRY AND TRIGONOMETRY, 

WITH A 

TREATISE O^ SURVEYING; 

COMPRISING VARIOUS METHODS OF TAKING THE SURVEY OF A 

FIELD, WITH DIRECTIONS FOR PROTRACTING 

AND FINDING AREAS ; 

IN WHICH, ALSO, THE PRINCIPLES OF 

RECTANGULAR SURVEYING, 

BY WHICH AREAS MAY BE ACCURATELY CALCULATED WITHOUT 
PLOTTING, ARE FULLY EXPLAINED : 

WITH A COMPLETE SERIES OF 

MATHEMATICAL TABLES, 

AND THE NECESSARY EXPLANATIONS. 



BY ABEL FLINT, A. M. 

A im'W EDITIOir, ENZiARGISD, 

WITH 

PRACTICAL ILLUSTRATIONS ON SURVEYING, 

INCLUDING OTHER BRANCHES CONNECTED THEREWITH ; REMARKS 

ON THE MODE OF DISTRIBUTING ESTATES ; LOCATING 

AND SURVEYING ROADS, &c. 

FOR THE USE OF THE STUDENT AND PRACTICAL SURVEYOR. 

BY GEORGE GILLET, 

SURVEYOR GENERAL OF CONNECTICUT. 



ALSO, A CONCISE 

TREATISE ON LOGARITHMS, 
BY F. A. P. BARNARD, 

LATE TUTOR IN YALE COLLEGE. 



SEVENTH EDITION. 



HARTFORD, 
PUBLISHED BY COOKE AND GO. 

FOR SALE BY THE PRINCIPAL BOOKSELLERS IN THE U. STATES. 
1833. 



DISTRICT OF CONNECTICUT, ss. 

Be it remembered, That on the second day of August, in the 
L. S» fifty-fifth year of the Independence of the United States of America, 
Oliver D. Cooke, of the said District, 'hath deposited in this office 
the title of a book, the right whereof he claims as proprietor, in the words fol- 
lowing, to wit : " A system of Geometry and Trigonometry, with a Treatise on 
Surveying ; comprising various methods of taking the survey of a field, with 
directions lor protracting and finding areas ; in which, also, the principles of 
Rectangular Surveying, by which Areas may be accurately calculated without 
plotting, are fully explained : with a complete series of Mathematical Tables, 
and the necessary Explanations. By Abel Flint, A. M. With improvements 
by George Gillet, Surveyor General of Connecticut. Sixth edition, revised and 
enlarged, by the addition of copious notes and illustrations, and a concise Trea- 
tise on Logarithms, by Frederic A. P. Barnard, A. B., Instructor in Mathe- 
matics in the Hartford Grammar School, and author of a Treatise on Arithme- 
tic." In conformity to the act of Congress of the United States, entitled, " An 
act for the encouragement of learning, by securing the copies of Maps, Charts, 
and Books, to the authors and proprietors of such copies, during the times 
therein mentioned." And also to the act entitled, " An act supplementary to 
an act, entitled, ' An act for the encouragement of learning, by securing the 
copies of Maps, Charts, and Books, to the authors and proprietors of such co- 
pies, during the times therein mentioned,' " and extending the benefits thereof 
;o the arts of designing, engraving, and etching historical and other prints. 
CHARLES A. INGERSOLL, 

Clerk of the District of Connecticut. 
A true copy of record, examined and sealed by me, 

CHARLES A. INGERSOLL, 

Clerk of the District of Connecticut. 



/J'/f 



EntereJ according to act of Congress, in the year 1833, by Edward P 
Cooke, in the Clerk'^s Office of the District Court of Connecticut. 



^- ^Pt?-c:p 



ADVERTISEMENT 

TO THE SEVENTH EDITION. 



The original compiler of the following work designed, m 
preparing it, to furnish a plain and concise system of Practi- 
cal SURVEYIIVG. 

That he did not fail of success, has been proved, by the 
high estimation in which this treatise has been, and is, at the 
present time, held by Surveyors, and by the continued and 
increasing demand for it. The publishers have used exer- 
tions to render the present edition more worthy of patronage. 

About thirty pages of practical matter have been added by 
George Gillet, Esq., Surveyor General of the state of 
Connecticut. A distinguishing feature of the present as well 
as of the previous edition, is the introduction of a new and 
elegant set of tables, more extensive than those which have 
before been attached to this work, and on a superior type. — 
The numbers in the traverse table are carried to 100. 

In the table of logarithms, and of logarithmic sines, &c., 
the decimals are carried to six figures, and a column of differ- 
ences is added for the purpose of finding intermediate num- 
bers. 

When logarithms are carried to six places, they may be 
taken to as few, or as many within that limit, as is desired. 
Prefixed to the tables will be found a brief explanation of 
the nature and use of logarithms by Mr. Barnard, which 
will be found a valuable addition. 

The articles on distributing estates, locating and surveying 
roads, and on levelling, cannot fail of being highly useful. 

Hartfcn-d, January ^ 1833, 



The subscribers have examined in manuscript, the additions to tht 
seventh edition of Flint's Surveying, by George Gillet, Esq., Survey- 
or General of Connecticut, and find them to embrace a system of cor- 
rect, useful, and practical matter, judiciously arranged, and clearly ex- 
plained to the understanding of the learner. Having long acted as Sur- 
veyors under public authority, we recommend this vi'ork as containing 
all the elementary science, and requisite tables, necessary or convenient 
for the learner, and the practitioner. The present is a more full and 
complete system than any former edition. 

MOSES WARREN, Dep. Sur. JV. London Co. 

LEMUEL INGALLS, late Dep. Svr. Windham Co 

DANIEL St. JOHN, Dep. Sur. Hartford Co. 

ASAHEL DEWEY, County Sur. J\r. London Co. 

JONATHAN NICHOLS, Dep. Sur. Windham Co. 

Connecticut, August, 1832. 



PREFACE TO THE FIRST EDITION. 



The following work is chiefly a compilation from other Books; and 
but very little new is added, except a more full explanation, than has 
yet been published, of Rectangular Surveying, or the method of calcu- 
latingthe area of fields arithmetically, without drawing a plot of them 
and measuring with a scale and dividers, as has been the common prac- 
tice ; and also a more particular explanation of the use of natural sines, 
than is contained in most mathematical hooks. 

The compiler has endeavoured to render thi? work so easy and intel- 
ligible, that a learner will require but little assistance from an Instnic- 
ter, except with regard to the construction and use of mathematical and 
surveying instruments. Before, however, he enters on the study of this 
book, he must be well acquainted with common Arithmetic, withdeci. 
mal fractions, and the square root ; and he must also know the various 
characters or marks used in Arithmetic. 

A surveyor will doubtless find many questions arise in the course of 
his practice, for the solution of which, no particular directions are here 
given ; nor is it possible to give directions for every case that may oc- 
cur. In all practical sciences, much mustb^'Jeft to the judgment of the 
practitioner, who, if he is well acquainted with the general principles of 
his art, will readily learn to apply those principles to particular cases. 

The primary design of this treatise is to teach common Field Survey, 
ing ; at the same time it contains the elements of Surveying upon a larger 
scale ; and the system of Geometry and Trigonometry with which it is 
introduced, with the problems for the mensuration of superficies, as also 
the mathematical tables at the end, will be found useful for many other 
purposes. It would be well, therefore, for those who do not intend to 
become practical surveyors, to acquaint themselves with what is here 
taught ; and with this view the following work is very proper to be in- 
troduced into academies and those higher schools which are designed 
to fit young men for active business in life. Indeed every person who 
frequently buys and sells land, should learn to calculate the contents of 
a field arithmetically ; a knowledge which may be acquired in a very 
little time, from the particular explanation here given of that method. 

Notwithstanding the many books already published on the subjects 
here treated upon, it was thought a work of this kind was really want- 
ed, and that if judiciously executed it would be useful. It is more par- 
ticularly necessary at the present time in Connecticut, as the legislature 
of the State have lately enacted a law on the subject of surveying, in 
consequence of which more attention must be paid to the theory of that 
art than has been common. 

These considerations induced the compiler to select from various 
publications what appeared to him important ; and to arrange the whole 
in a method ^est adapted, in his view, for teaching that useful art. 
How far he has succeeded in his endeavours to simplify the subject, 
and render it easy to the learner, must be submitted to the test of expe- 
rience. 

B 



A GENERAL VIEW OF THE CONTENTS OF THIS WORK. 

The system of Geometry is divided into two parts. The first con- 
tains geometrical definitions respecting lines, angles, superficies, &c. 
The second part contains a number of geometrical problems necessary 
for Trigonometry and Surveying. 

The system of Trigonometry is also divided into two parts : and teach- 
es the solution of questions in right and oblique angled trigonometry, by 
logarithms, and also by natural sines. 

The treatise on Surveying is divided into three parts. Part first treats 
of measuring land, and is divided into three sections. The first con- 
tains several problems respecting mensuration, and for finding the area 
of various right-lined figures and circles. 

The second b^ction teaches different methods of taking the Survey of 
fields ; also to protract them, and find their area in the manner common- 
ly practised, and likewise by arithmetical and trigonometrical calcula- 
tions, without measuring diagonals and perpendiculars with a scale and 
dividers ; interspersed with sundry useful rules and directions. 

The third section is a particular explanation and demonstration of Rec- 
tangular Surveying, or the, method of computing the area of fields 
from the field notes, by mathematical tables, without the necessity of 
plotting the field. To this section is added a useful problem for ascer- 
taining the true area of a field which has been measured by a chain too 
long or too short. 

Part second treats of laying out land in various shapes. 

Part third contains sundry problems and rules for dividing land, and 
determining the true course and distance of dividing lines, or from one 
part of a field to another. To this is added an appendix concerning the 
variation of the compass and attraction of the needle ; also, a rule to find 
the diff'erence between the present variation, and that at a time when a 
tract was formerly surveyed, in order to trace or run out the original 
lines. 

The mathematical tables, are a traverse table, or table of difference 
of latitude and departure, calculated for every degree and quarter of a 
degree, and for any distance up to 50 ; a table of natural sines calculated 
for every minute ; a table of logarithms comprised in four pages, yet 
sufficiently extensive for common use ; and a table of loorarithmic or ar- 
tificial sines, tangents, and secants, calculated for every 5 minutes of a 
degree. To these tables are prefixed particular explanations of the 
manner of using them.* 

* This view of the contents was drawn up by Mr. Flint, and refers of 
course to the original edition. 



GEOMETRY. 



GEOMETRY is a Science which treats of the properties 
of magnitude. 

PART I. 

Geometrical Definitions, 



1. A point is a small dot ; or, mathematically considered, 
is that which has no parts, being of itself indivisible. 

2. A line has length but no breadth. 

3. A superficies or surface, called also area, has length and 
breadth, but no thickness. 

4. A solid has length, breadth, and thickness. 

5. A right line is the shortest that can be drawn between 
two points. 

Fig. 1. 

6. The incHnation of two lines meeting 
one another, or the opening between them, 
is called an angle. Thus at B. Fig. 1, is 
an angle, formed by the meeting of the 
lines AB and BC. 



7. If a right line CD. Fig. 2, fall upon 
another right line AB, so as to incline to 
neither side, but make the angles on each 
side equal, then those angles are called right 
angles ; and the line CD is said to be per- 
pendicular to the other line. 



Fig. 2. 
D 



10 



GEOMETRY. 



Fig. 3. 



8. An obtuse angle is greater than a right 
angle ; as ADE. Fig. 3. 

9. An acute angle is less than a right 
angle ; as EDB. Fig. 3. 



Note. When three letters are used to express an angle, the 
the middle letter denotes the angular point. 





Fig. 5. 



10. A circle is a round figure bounded 
by a single line, in every part equally distant 
from some point, which is called the cen- 
tre. Fig. 4. 

11. The circumference or periphery of a 
circle is the bounding line; as ADEB. 
Fig. 4:. 

12. The radius of a circle is a line 
drawn from the centre to the circumference ; 
as CB. Fig. 4. Therefore all radii of the 
same circle are equal. 

13. The diameter of a circle is a right 
line drawn from one side of the circumfer- 
ence to the other, passing through the centre ; 
and it divides the circle into two equal parts, 
called semicircles ; as AB or DE. Fig. 5. 

14. The circumference of every circle is 
supposed to be divided into 360 equal parts, 
called degrees ; and each degree into 60 
equal parts, called minutes ; and each minute 

into 60 equal parts, called seconds ; and these into thirds, &c. 

Note. Since all circles are divided into the same number of 
degrees, a degree is not to be accounted a quantity of 
any determinate length, as so many inches or feet, &c. 
but is always to be reckoned as being the 360th part of 
the circumference of any circle, without regarding the 
size of the circle. 




15. An arc of a circle is any part of the circumference ; 
as BF or FD. Fig. 5 ; and is said to be an arc of as many de- 
grees as it contains 360th parts of the whole circle. 



GEOMETRY, 



11 



Fis:. 6. 




16. A chord is a right line drawn from 
one end of an arc to an other, and is the 
measure of the arc ; as HG is the chord of 
the arc HIG. Fig, 6. 



Note. The chord of an arc of 60 degrees is equal in length 
to the radius of the circle of which the arc is a part. 

17. The segment of a circle is a part of a circle cut off by 
a chord ; thus the space comprehended between the arc HIG 
and the chord HG is called a segment. Fig, 6. 

19. A sector of a circle is a space contained between two 
radii and an arc less than a semicircle ; as BCD or ACD. 
Fig, 6. 

20. The sine of an arc is a line drawn Fig, 7. 
from one end of the arc, perpendicular to 
the radius or diameter drawn through the 
other end : or, it is half the chord of double 
the arc ; thus HL is the sine of the arc 
HB. Fig. 7. 

21. The sines on the same diameter in- 
crease in length till they come to the cen- A| 
tre, and so become the radius, after wb/ch 
they diminish. — Hence, it is plain that the 
sine of 90 degrees is the greatest possible 
sine, and is equal to the radius- 

22. The versed sine of an arc is that part of the diameter 
or radius which is between the sine and the circumference ; 
thus LB is the versed sine of the arc HB. Fig, 7. 

23. The tano-cnt of an arc is a right line touching the 
circumference p^^d drawn perpendicular to the diameter; and 
is terminated J)y a hne drawn from the centre through the 
other end oC the arc; thus BK is the tangent of the arc BH. 
Fig, 7. 

Note. The tangent of an arc of 45 degrees is equal in 
Zength to the radius of the circle of which the arc is a 
part. 

24. The secant of an arc is a line drawn from the centre 

B2 




12 GEOMETRY. 

through one end of the arc till it meets the tangent ; thus 
CK is the secant of the arc BH. Fig. 7. 

25. The complement of an arc is what the arc wants of 90 
degrees, or a quadrant : thus HD is the complement of the 
arc BH. Fig. 7. 

26. The supplement of an arc is what the arc wants of 180 
degrees, or a semicircle ; thus ADH is the supplement of the 
arc BH. Fig. 7. 

[Note. It will be seen, by reference to Fig. 7, that the sine 
of any arc is the same as that of its supplement. So like- 
wise, the tangent and secant of any arc are used also for 
its supplement.] 

27. The sine, tangent or secant of the complement of any 
arc is called the co-sine, co-tangent, or co-secant of the arc ; 
thus, FH is the sine, DI the tangent, and CI the secant of the 
arc DH ; or they are the co-sine, co-tangent, and co-secant of 
the arc BH. Fig. 7. 

[The terms sine, tangent and secant, are abreviated thus : 
sin. tan. and sec. So likewise, co-sine, co-tangent, and co- 
secant, are written co-sin. co-tan. and co-sec] 

28. The measure of an angle is the arc of a circle contain- 
ed between the two lines which form the angle, the angular 
point being the centre ; thus, the angle HCB. Fig. 7. is mea- 
sured by the arc BH : and is said to contain as many degrees 
as the arc does. 

Note. An angle is esteetned greater or less according to 
the opening of the lines wWch form it, or as the arc in- 
tercepted by those lines contains more or fewer degrees. 
Hence it may be observed, that the size of an angle does 
not depend at all upon the length of +he including hnes ; 
for all arcs described on the same poiat, and intercepted 
by the same right lines, contain exactly the same number 
of degrees, whether the radius be longer ox shorter. 

29. The sine, tangent, or secant of an arc is also the sine, 
tangent, or secant of the angle whose measure the arc is. 

Fig^S. 

30. Parallel lines are such as are equal- ^ ' ^ 

ly distant from each other; as AB and 

CD. Fig. 8. C- "^ « ' D 



GEOMETRY. 



13 



31. A triangle is a figure bounded by 
three lines ; as ABC. Fig. 9. 

32. An equilateral triangle has its three 
sides equal in length to each other. Fig. 9. 



33. An isoceles triangle has two of its sides 
equal. Fig. 10. 




Fig. 11. 



34. A scalene triangle has three unequal 
sides. Fig. 11. 




Fig. 12. 



35. A right angled triangle has one 
right angle. Fig. 12. 




Fig. 13. 




36. An obtuse angled triangle has one 
obtuse angle. Fig. 13. 



37. An acute angled triangle has all its angles acute. Fig. 
9, or 10. 

38. Acute and obtuse angled triangles, are called oblique 
angled triangles, or simply oblique triangles ; in which the 
lower side is generally called the base, and the other two, 
legs. 

39. In a right angled triangle the longest side is called the 
hypothenuse, and the other two, legs, or base and perpendieu- 
lar. 



14 



GEOMETRY. 



Note. The three angles of every triangle being added to- 
gether will amount to ISO degrees ; consequently the two 
acute angles of a right angled triangle amount to 90 de- 
grees, the right angle being also 90. 



40. The perpendicular height of a trian- 
gle is a line drawn from one of the angles 
perpendicular to its opposite side ; thus, the 
dotted line AD. Fig. 14. is the perpendicu- 
lar height of the triangle ABC. 



Note. This perpendicular may be drawn from either 
of the angles; and whether it falls within the triangle, or 
on one of the lines continued beyond the triangle, is im- 
material. 

Fig, 15. 




41. A square is a figure bounded by four 
equal sides, and containing four right angles. 
Fig. 15. 



42. A parallelogram, or oblong square, is 
a figure bounded by four sides, the opposite 
ones bemg equal and the angles right.* Fig. 
16. 



Fig. 16. 



Fis. 17, 



43. A rhombus is a figure bounded by 
four equal sides, but has its angles oblique. 
Fis. 17. 



B 



Fig. 18. 



44. A rhomboid is a figure bounded 
by four sides, the opposite ones being 
equal, but the angles obhque. Fig. 18. 




* Any fonr-sided figure, bavins its opposite sides parallel, is a parallelogram ; bot, 
in this book, the Urm is understood as it is here explained. Sometimes this figure is 
called a rectangle. 



GEOMETRY. 15 

45. The perpendicular height of a rhombus or rhomboides, 
is a line drawn from one of the angles to its opposite side ; 
thus, the dotted lines AB. figs. 17 and 18, represent the per- 
pendicular heights of those figures. 



Fig. 19. 



46. A trapezoid is a figure bounded by- 
four sides, two of which are parallel though 
of unequal lengths. Fig. 19 and Fig. 20 



Fig. 20. 



Note. Fig. 19. is sometimes called a right angled trape- 
zium. 

Fig. 21. 

47. A trapezium is a figure bounded by- 
four unequal sides. Fig. 21. 

48. A diagonal is a line drawn between 
two opposite angles ; as the line AB. Fig. 
21. 

49. Figures which consist of more than four sides are called 
polygons ; if the sides are equal to each other they are call- 
ed regular polygons, and are sometimes named from the num- 
ber of their sides, as pentagon, or hexagon, a figure of five 
or six sides, &c. ; if the sides are unequal, they are called ir- 
regular polygons. 




16 



GEOMETRY. 



PART II, 



Geometrical Problems. 



PROBLEM I. To draw a line parallel 
to another line at any given distance ; as at 
the point D, to make a line, parallel to the 
line AB. Fig. 22. 



Fig. 22. 



^ 



With the dividers take the nearest distance between the 
point D and the given hne AB ; with that distance set one foot 
of the dividers any where on the Hne AB, as at E, and draw 
the arc ; through the point D draw a Hne so as just to 
touch the top of the arc C. 

A more convenient way to draw paraHel Hnes is with a 
paraUel rule. [The paraUel rules, however, found in cases 
of mathematical instruments, are often inaccurate.] 

Fig, 23. 



PROBLEM IL To bisect a given line 
, to find the middle of it. Fig. 23. 



Open the dividers to any convenient distance, more than 
half the given Hne AB, and with one foot in A, describe an 
arc above and below the line, as at C and D ; with the same 
distance, and one foot in B, describe arcs to cross the former ; 
lav a rule from C to D, and where the rule crosses the Hne, 



as at E, will be the middle. 



Fig. 24. 



PROBLEM in. To erect a perpendicu- 
lar from the end, or any part of a given line. JS,.— UC 
Fig. 24. .^^ ^ 



GEOMETRY 



17 



Open the dividers to any convenient distance, as from D to 
A, and with one foot on the point D, from which the perpen- 
dicular is to be erected, describe an arc, as AEG ; set off the 
same distance AD, from A to E, and from E to G ; upon E 
and G describe two arcs to intersect each other at H ; draw 
a Une from H to D, and one Une will be perpendicular to the 
other. 

Note. There are other methods of erecting a perpendicu- 
lar, but this is the most simple. 

Fig. 25. 



PROBLEM rV. From a given point 
as at C, to drop a perpendicular on a , 
given line AB. Fig. 25. ^ 



' O 



With one foot of the dividers in C describe an arc to cut 
the given line in two places, as at F and G ; upon F and G 
describe two arcs to intersect each other below the line as at 
D ; lay a rule from C to D and draw a line from C to the giv- 
en line. 

Perpendiculars may be more readily raised and let fall, by 
a small square made of brass, ivorv, or wood. 

Fig. 26 



PROBLEM V. To make an angle at E, 
equal to a given angle ABC. Fig. 26. A 




Open the dividers to any convenient distance, and with one 
foot in B describe the arc FG ; with the same distance and 
one foot in E, describe an arc from H ; measure the arc FG, 
and lay off the same distance on the arc from H to I ; draw a 
line through 1 to E, and the angles will be equal. 

Fig. 27. 



PROBLEM VI. To make an acute an- 
gle equal to a given number of degrees, sup- 
pose 26. Fig. 21. 





18 GEOMETRY. 

Draw the line AB of any convenient length ; from a scale 
of chords take 60 degrees with the dividers, and with one foot 
in B describe an arc trom the line AB : from the same scale 
tEike the given number of degrees, 36, and lay it on the arc 
from C to D : draw a line from B through D, and the angle 
at B will be an angle of 36 degrees. 



PROBLEM VII. TomaI:eanobtusean. 
gle, suppose of 110 degrees. Fig. 2S. 



B 

Take a chord of 60 degrees as before, and describe an arc 
greater than a quadrant ; set off 90 degrees from B to C, and 
from C to E set off the excess above 90, which is 20 ; draw 
a line from G through E, and the angle will contain 110 de- 
grees. 

[It is best, however, in making obtuse angles, to take from 
the scale the chord of half the angle, and set it off twice. 
This will save taking two separate chords.] 

Note. In a similar manner angles maybe measured; that 
is, with a chord of 60 decrees describe an arc on the an- 
gular point, and on a scale of chords measure the arc in- 
tercepted by the lines forming the angle. 

A more convenient method of making and measuring angles 
is to use a protractor instead of a scale and dividers. 



B 

PROBLEM VIII. To make a triangle ^ 
of three given lines, as BO, BL, LO. Fig. 
29, anytiL'oof which are greater than the 
third. 



Draw the line BL from B to L ; from B, with the length 
of the line BO, describe an arc as at ; from L, with the 
length of the line LO, describe another arc to intersect the 
former ; from O draw the lines OB and OL, and BOL will be 
the triangle required. 





GEOMETRY. 19 

Fig, 30. 



PROBLEM IX. To make a right an. 
gled triangle, the hypothenuse and angles be- 
ing given. Fig. 30. 

Suppose the hypothenuse CA 25 rods or chains, the angle 
at C 35^ 30' and consequently the angle at A 54° 30'. See 
note after the 39^/i Geometrical Definition, 

Note. When degrees and minutes are expressed, they are 
distinguished from each other by a small cipher at the 
right hand of the degrees, and a dash at the right hand 
of the minutes ; thus 35° 30' is 35 degrees and 30 min- 
utes. 

Draw the line CB an indefinite length ; at C make an an- 
gle 35° 30' ; through where that number of Degrees cuts the 
arc draw the line CA 25 rods, which must betaken from some 
scale of equal parts ; drop a perpendicular from A to B, and 
the triangle will be completed. 

[A scale of equal parts may be found on one side of Gun- 
ter's scale, occupying half its length. It will be known by 
slanting lines which cross it at each end. The length of the 
scale, not occupied by these oblique lines, is equally divided 
into several larger divisions, numbered on one side, and like- 
wise twice as many smaller, numbered on the other. In tak- 
ing distances from the scale, each of these divisions, (either 
the larger or the smaller, as is most convenient,) must bo 
considered 1, 10, 100, &c. rods, chains, or other dimensions 
of length. If each division be called 1, it will be easy to tako 
off the required number. But the scale is not usually Ion ; 
enough for this. When each division is called 10, as many 
divisions must be taken, as there are tens in the given number. 
For the excess of tens, in this case, the little scale, with the 
oblique lines, is used. Each side of this httle scale is divi- 
ded into 10 equal parts, and each of these parts is, of course, 
1. Then, to take off the hypothenuse, 25, above, we should 
take in the dividers 2 of the divisions of the large scale, and 
5 of those of this small one. There is one of these little 
scales for the greater, and one for the smaller divisions of the 
large scale. When each division of the large scale is called 
100, each of those of the small one becomes 10, and the 
units are found by means of the oblique lines. These are 
drawn across parallel lines, running the whole length of the 
scale, from each division on one side, to the next higher on 

C 



20 



GEOMETRY. 



the other. The parallel lines divide the width of the scale 
into 10 equal parts. Since each oblique line, then, in cross- 
ing the scale passes over one division of length, it is evi- 
dent, that, in passing one tenth across, (that is, to the first 
parallel line,) it will pass over one tenth of a division of 
length ; in passing two tenths across (that is, to the second 
parallel line.) it will pass over two tenths of a division of 
length, and so on. The parallel lines are numbered at the 
end of the scale. To take off a distance, containing hundreds, 
then, as 234, we must place one foot of the dividers on the 
second division of the larger scale, and on the parallel line 
marked 4, and extend the other foot to the third oblique line. 
Decimals may evidently be taken off in a similar manner ; the 
divisions of the larger scale being made units, and those of the 
smaller, tenths and hundredths.] 

XoTE. The length of the two legs may be found by mea- 
suring them upon the same scale of equal parts from 
which the hypothenuse was taken. 

Fis. 31. 



PROBLEM X. To ina'ke a right an. 
gJed triangle, the angles and one leg be- 
ing given. Fig. 31. 




Suppose the angle at C 33' 15', and the leg AC 2S5. 
Draw the leg AC making it in length 2S5 ; at A erect a 
perpendicular an indefinite length : at C make an angfle of 
33^ 15' : through where that number of degrees cuts the arc, 
draw a line till it meets the perpendicular at B. 

Note. If the given line CA should not be so long as the 
chord of 60", it may be continued beyond A, for the pur- 
pose of making the angle. 

Fig. 32. 

C 



PROBLEM XL To make a rigJii angled 
triangle, the liypothenuse and one leg being 
given. Fig. 32. 



Suppose the hypothenuse AC 40, and the leg AB 28. 
Draw the leg AB in length 2S ; from B erect a perpendic 




GEOMETRY. 



21 



iilar an indefinite length ; take 40 in the dividers, and setting 
one foot in A, wherever the other foot strikes the perpendic 
ular will be the point C. 

Note. When the triangle is constructed, the angles may 
be measured by a protractor, or by a scale of chords. 

Fig. 33. 

C 

PROBLEM XII. To make a right angled 
triangle, the two legs being given. Fig, 33. 




Suppose the leg AB 38, and the leg BC 46. 
Draw the leg AB in length 38 ; from B erect a perpendic 
ular to C in leno-th 46 ; and draw a line from A to C. 

Fig. 34. 



PROBLEM Xlll. To 
make an oblique angled tri- 
angle, the. angles and one 
side being given. Fig. 34. 



Suppose the side BC 98 ; the angle at B 45° 15', the angle 
at D 108° 30', consequently the other angle 26° 15'. 

Draw the side BC in length 98 ; on the point B make an 
angle of 45° 15' ; on the point C make an angle of 26° 15', 
and draw the lines BD and CD. 

Fig. 35. 




PROBLEM XIV. To make an oblique 
angled triangle, two sides and an angle op- 
posite to one of them being given. Fig. 35. ^ 




i<?^ 



Suppose the side BC 160, the side BD 79, and the angle at 
C 29° 9'. 

Draw the side BC in length 160 ; at C make an angle of 
29° 9', and draw an indefinite line through where the degrees 
cut the arc ; take 79 in the dividers, and with one foot in B 
lay the other on the line CD ; the point D will be the other 
angle of the triangle. 



22 



GEOMETRY. 



PROBLEM XV. To make an oh- 
lique angled triangle, two sides and 
their contained angle being given. 
Fig. 36. 



Fig. 36. 




Suppose the side BC 109, the side BD 76, and the ansrle at 
B 101° 30'. 

Draw the side BC in length 109 ; at B make an angle of 
101° 30', and draw the side BD in length 76 ; draw a hne 
from D to C and it is done. 



PROBLEM XVI. 
Fig. 37. 



To make a Square. 



Fig. 37. 




Draw the line AB the length of the proposed Square ; from 
B erect a perpendicular to C and make it of the same length 
as AB ; from A and C, with the same distance in the dividers, 
describe arcs intersecting each other at D, and draw the lines 
AD and DC. 



Fig. 38. 



PROBLEM XV IL 
gle. Fig. 38. 



To make a rectan- 



D 



B 



Draw the line AB equal to the longest side of the rec- 
tangle ; on B erect a perpendicular the length of the shortest 
side to C ; from C, with the longest side, and from A, with 
the shortest side, describe arcs intersecting each other at D, 
and draw the lines AD and CD. 



GEOMETRY. 



23 



PROBLEM XVIll. To de. 
scribe a circle which shall pass 
through any three given points, 
not lying in a right line, as A, B, 
D. Fig. 39. 




.xT**~' 



Draw lines from A to B and from B to D ; bisect those lines 
by PROBLEM II. and the point where the bisecting Hnes inter- 
sect each other, as at C, will be the centre of the circle. 

PROBLEM XIX. To find the centre of a circle. 

By the last problem it is plain, that if three points be any 
where taken in the given circle's periphery, the centre of the 
circle may be found as there taught. 

Directions for constructing irregular figures of four or more 
sides may be found in the following treatise on Surveying. 



TRIGOXOIETRY. 



TRIGONOMETRY is that part of practical Geometet by 
which the sides and angles of triangles are measured; where- 
by three things being given, either all sides, or sides and an- 
gles, a fourth may be found; either by measuring with a 
scale and dividers, according to the Problems ix Geometby, 
or more accurately by calculation with logarithms, or with 
natural sines. 

Trigonometry is divided into two parts, rectangular and 
oblique-angular. 

PART I. 

RECTANGULAR TRIGONOMETRY. 

This is founded on the following methods of applying a 

circle to a triangle. 

Fig. 40. 
PROPOSITION I. In every right 
angled triangle, as ABC, Fig. 40, it is 
plain from Fig. 7, compared with the 
Geometrical definitions to which that 
Figure refers, that if the hypothenuse A 
AC be made radius, and with it an arc 
of a circle be described from each end, 
BC will be the sine of the angle at A, 
and AB the sine of the angle at C ; 
that is, the legs will be sines of their 
opposite angles. 

PROPOSITION II. U one leg, AB, 
Fig. 41, be made radius, and with it on 
the point A an arc be described, then 
BC, the other leg, will be the tangent, 
and AC the secant of the angle at A : 
and if BC be made radius, and an arc 
be described with it on the point C, then 
AB will be the tangent and AC the se- 
cant of the angle at C ; that is, if one leg 
be made radius the other leg will be a tangent of its opposite 
angle, and the hypothenuse a secant of the same angle. 




Fis. 41. 




TRIGONOMETRY. 26 

- Thus, as different sides are made radius, the other sides 
acquire diiferent names, which are either sines, tangents or 
secants. 

As the sides and angles of triangles bear a certain propor- 
tion to each other, two sides and one angle, or one side and 
two angles being given, the other sides or angles may be found 
by instituting proportions, according to the following rules. 

Rule I. To find a side, either of the sides may be made ra- 
dius, then institute the following proportion : 

As THE NAME OF THE SIDE GIVEN, (which Will be either ra- 
dius, sine, tangent or secant;) 

Is TO THE LENGTH OF THE SIDE GIVEN ; 

So IS THE NAME OF THE SIDE REQUIRED, (wllich alsO Wlll be 

either radius, sine, tangent or secant ;) 

To THE LENGTH OF THE SIDE REQUIRED. 

Rule II. To find an angle one of the given sides must be 
made radius, then institute the following proportion : 

As THE LENGTH OF THE GIVEN SIDE MADE RADIUS ; 

Is TO ITS NAME, (that is radius ;) 

So IS THE LENGTH OF THE OTHER GIVEN SIDE ; 

To ITS NAME, (which will be either sine, tangent or se- 
cant.) 

Having instituted the proportion, look for the corresponding 
logarithms, in the logarithms of numbers for the length of the 
sides ; and in the table of artificial sines, and tangents, for 
the logarithmic sine, tangent or secant. 

Add TOGETHER THE LOGARITHMS OF THE SECOND AND THIRD 
TERMS, AND FROM THEIR SUM SUBTRACT THE LOGARITHM OF 
THE FIRST TERM : THE REMAINDER WILL BE THE LOGARITHM 
OF THE FOURTH TERM, WHICH SEEK IN THE TABLES, AND FIND 
ITS CORRESPONDING NUMBER, OR DEGREES AND MINUTES. 

See the introduction to the table of logarithms; which 
should be attentively studied by the learner before he proceeds 
any further. 

Note. The logarithm for radius is always 10, which is the 
logarithmic sine of 90°, and the logarithmic tangent of 45. 

The preceding propositions and rules being duly attend- 
ed to, the solution of the following cases of Rectangular Trigo- 
nometry will be easy. 



26 



TRIGONOMETRY. 



Fig. 4-2. 




CASE I. 



The angles and hypothenuse given to find 
the legs. Fig. 42. 



In the triangle ABC, given the hypothenuse AC 25 rods or 
chains : the angle at A 35^ 30' : and consequently the ande at 
C 5-io 30' : {See note Geom. Def. 39.) to find the legs. ° 

-Makuig the hypothenuse radius, the proportions will be ; 

To find the leg AB. 1 To find the leg BC. 

As radius - - - 10.000000 ' As radius - - 10.000000 

: h}i3. AC, 25 - 1.397940 ' : hyp. AC, 25 - 1.397940 

: : sine ACB. 54o 30' 9.9106S6 : : sine CAB. 35° 30' 9.763954 



11.303626 
10.000000 



11.161394 
10.000000 



: leg AB, 20.35 nearly 1.308626 ' : leg BC, 14.52 nearly 1.161894 

Note. When the first term is radius, it may be subtracted 
by can 
terms. 



by cancelling the first figure of the sum of the other two 



Making the leg AB radius, 

Tofindtheles- XB. 
As secant CAB, 35° 30' 
hyp. AC, 25 
: radius 
legAB, 20.35 
Making the leg BC radius. 
To find the leo- AB. , 
As secant ABC, 54= 30' 
hvp. AC, 25 
: tansent ACB, 54^ 30' 
les AB, 20.35 



the proportions will be : 

j To find the leg- BC. 

As secant CAB, 35^ 30' 
: hyp. AC, 25 
: : 'tangent, CAB, 35° 30' 
: leg BC, 14.52 
the proportions will be : 

To find the leg- BC. 
A.S secant CAB, 54= 30' 
hyp. AC, 25 
: radius 
leg BC, 14.52 



The logarithms of the four last proportions being looked out, 
and added and subtracted according to the rule, the result will 
be found to be the same as in the two first proportions. 

[The learner should exercise himself, in this and the following 
rules in Teigo^'ometry, in stating all the proportions which 
can be made, until he is able to do it with facility.] 



TRIGONOMETRY. 



27 



By natural sines. 

This CASE may be solved by natural sines,* according to the 
following proportions : 

As UNITY OR 1, IS TO THE LENGTH OF THE HYPOTHENUSE, 
so IS THE NATURAL SINE OF THE SMALLEST ANGLE, TO THE 
LENGTH OF THE SHORTEST LEG. Or, SO IS THE NATURAL 
SINE OF THE LARGEST ANGLE, TO THE LENGTH OF THE LONG- 
EST LEG. 

Or, which is the same thing, multiply the natural sines 
of the two angles by the hypothenuse : the products 
will be the length of the two legs. 

Example. 



Nat. sine of 35° 

0.58070 
Hyp. 25 


30' 


Nat. sine of 54° 30 

0.81412 
Hyp. 25 


290350 
116140 


407060 
162824 


14.51750 


20.35300 


Leg BC 14.52 


Leg AB 20.35 



Note. The third decimal figure in the first product being 
7, the preceding figure may be called one more than it is, 
viz. 2. And whenever in any product, &;c. there are 
more places of decimals than you wish to work with, if 
the one at the right hand of the last which you wish to 
retain is more than 5, add a unit to the last, because a 
greater decimal number than 5 is more than half. 



CASE II. 



The angles and one leg given to find the 
hypothenuse and the other leg. Fig. 43. 



Fig. 43. 




32a 



In the triangle ABC, given the leg AB 325, the angle at A 
33° 15' and the angle at C 56° 45' : to find the hypothenuse 
and the leg BC. 

* See the Introduction to the Table of Natural Sines. 



I TRIGONOMETRY. 

Making the given leg radius, the proportions will be : 



To find the hypoihenuse. 
As radius, 10.000000 

: leg AB, 325 2.511883 

: : sec. CAB, 33° 15'* 10.077645 



: hyp. 388.6 



12.589528 



To find the leg BC 



As radius, 
: leg AB, 325 
: : tan. CAB, 33^ 

: leg BC, 213.1 



15' 



10.000000 
2.511883 
9.81C658 

12.328541 



Note. Reject the first figure, which is the same as subtract- 
ing radius, and seek the numbers corresponding to the 
other figures. 

Making the legBC radius, the proportions will be : 



To find the hypothenuse. 
As tang. ACB, 56^ 45' 
: leg AB, 325 
: : sec. ACB, 56° 45' 
: hyp. 388.6 



To find the leg BC, 
As tang. ACB, 56'-^ 45' 
: leg AB, 325 
: : radius 
:legBC, 213.1 



Making the hypothenuse radius, the proportions will be ; 



To find the hypothenuse. 
As sine BCA, 56° 45' 
:legAB, 325 
: : radius 
: hyp. 388.6 



To find the leg BC, 
As sine BCA, 56° 45' 
: leg AB, 325 
: : sine BAC, 33° 15' 
: leg BC, 213.1 



Note. If the leg BC had been given, instead of the leg AB, 
the proportions would have been the same, the obvious 
changes being made. 



By natural sixes. 

To solve this case by natural sines, institute the following 
proportions : 

To find the hypothenuse. As the natural sine of the 
angle opposite the given leg, is to the length of the 

JLEG, so is unity OR 1, TO THE LENGTH OF THE HYPOTHE- 
NUSE. 

Or which is the same thing, divide the given leg by 

THE NATURAL SINE OF ITS OPPOSITE ANGLE, AND THE QUO- 
TIENT WILL BE THE HYPOTHENUSE. 



* Find the sec. as directed in the introduction to the tables, by subtracting 
the co-sine from 20.000 000.— Ed. 



TRIGONOMETRY. 29 

To find the other leg. \s the natural sine of the an- 
gle OProSITE the eiVEN LEG, IS TO THE LENGTH OF THE 
GIVEN LEG, SO IS THE NATURAL SINE OF THE ANGLE OPPOSITE 
THE OTHER LEG, TO THE LENGTH OF THE OTHER LEG. 



EXAMPLE. 



Given leg 325. Nat. sine of 56° 45', the angle opposite 
the given leg 0.83629. Nat. sine of 33° 15', the angle op- 
posite the other leg 0.54829. 

As 0.83629 : 325 : : 1 : 388.6. 

As 0.83629 : 325 : : 0.54829 : 213.07. 



CASE III. 

Fig, 44. 



Tlie hypothenuse and one leg given to 
find the angles and the other leg. Fig, 44. 



C 

5?. 




In the triangle ABC, given the hypothenuse AC 50 and the 
leg AB 40, to find the angles and leg BC. 

Making the hypothenuse radius, the proportion to find the 
angle ACB will be : 

As hyp. 50 - 1.698970 
: radius - 10.000000 

: : leg AB, 40 1.602060 



11.602060 
1.698970 



: sine ACB, 53° 8' 9.903090 



The angle ACB being 53° 8' the other is consequently 
36° 52'. 

Making the leg AB radius, the angle BAC may be found 



30 TRIGONOxMETRY. 

by the following proportion : 

As leg AB, 40 . 1.602060 

: radius . 10.000000 

: : hyp. 50 - 1.698970 



X1.69«970 
1.602060 



: sec. BAG, 36^ 52' 10.096910 
The angles being foundj the leg BC may be found by ei- 
ther of the preceding cases. It is 30. 



By natural sines. 

The angle opposite the given leg may be found by the fol- 
lowing proportion ; 

As THE HYPOTHENUSE IS TO UNITY OR 1, SO IS THE GIVEN 
LEG TO THE NAT. SINE OF ITS OPPOSITE ANGLE. 

Or, which is the same thing, divide the given leg by the 

HYPOTHENUSE, AND THE QUOTIENT WILL BE THE NAT. SINE. 



Example. 



The leg AB 40 divided by the hypothenuse 50 gives a quo- 
tient 0.80000 which looked in the table of nat. sines, the near- 
est corresponding number of degrees and minutes will be 
found to be 53° 8', the angle ACB. 



By THE SQUARE ROOT. 

In this CASE the required leg may be found by the square 
root, without finding the angles ; according to the following 

PROPOSITION ; 

In every right angled triangle, the square of THE 
HYPOTHENUSE IS EQUAL TO THE SUM OF THE SQUARES OF THE 

TWO LEGS. Hence, 

The SQUARE of the given leg BEING SUBTRACTED FROM 



TRIGONOMETRY. 31 

THE SQUARE OF THE UYPOTUENUSE, THE REMAINDER WILL BE 
THE SQUARE OF THE REQUIRED LEG. 

As ill the preceding exa3Iple ; the square of the leg AB 
40 is 1600 ; this subtracted from the square of the hypothe- 
nuse 50 which is 2500 leaves 900, the square of the leg BC, 
the square root of which is 30, the length of leg BC as found 
by logarithms. 



CASE IV. 



The legs given to find the angles and hy- 
poihenuse. Fig. 45. 




7ff,r 



In the triangle ABC, given the leg AB 78,7 and the leg 
Be 89 ; to find the angles and hypothenuse. 

Making the leg AB radius, the proportion to find the angle 
BAG will be ; 

As leg AB, 78.7 1.895975 

: radius - - 10.000000 
: : leg BC, 89 - 1.949390 



11.949390 
1.895975 



tang. BAC, 48° 31' 10.053415 



The angle ACB is consequently 41° 29'. 

Making the leg BC radius, the proportion to find the angle 
BCA will be similar, with the obvious differences. 

The angles being found, the hypothenuse may be found by 
Case II. It is nearest 119. 

D 



32 TRIGONOMETRY. 

By the square root. 

1q this case the hypothenuse may be found by the square- 
root without finding the ansles ; accordinsr to the followinc[ 

PBOPOSITIOX. 

In every RIGHT A>"GLED TRIANGLE, THE SUM OF THE 
SQUARES OF THE TWO LEGS IS EQU.VL TO THE SQUARE OF THE 
HYPOTHENUSE. 

In the above ex.a^iple, the square ot' AB 7S.7 is 6193.69, 
the square of BC S9 is 7921 ; these added make 14114.69 
the square root of which is nearest 119. 



By natural sines. 

The hypothenuse being found by the square root, the angle> 
may be foimd by nat. sines, according to the preceding case. 
Hyp. Leg BC. Nat. Sine. 

119) 89.00000 (747S9 
83 3 

570 The nearest degrees and minutes 

476 corresponding to the above nat. sine 

are 43° 24', for the angle BAG. The 

940 difference between this and the angle 

833 as found by logarithms is occasioned 

by dividing by 119, which is not the 



1070 exact length of the hypothenuse, it 

952 being a fraction too much. 

1180 
1071 

109 



PART II. 

Oblique Trigonometry. 

The solution of the first two cases of Oblique Trigotwnieiry 
depends on the following proposition. 

In all PLANE TRIANGLES, THE SIDES ARE IN PROPORTION 
TO EACH OTHER AS THE SINES OF THEIR OPPOSITE ANGLES. 



TRIGONOMETRY. 



33 



That is, as the sine of one angle is to its opposite side, 
so IS the sine of another angle to its opposite side. 
Or, as one side is to the sine of its opposite angle, so 
is another side to the sine of its opposite angle. 

[Note. When an angle exceeds 90° make use of its supple- 
ment, which is what it wants of 180^. Note Def. 26. 
Geo3i.] 



CASE 1. 



The angles and one side given to find the 
other sides. Fig. 46. 




200 



In the triangle ABC, given the angle at B 48°, the angle 
at C 72^, consequently the angle at A 60°, and the side AB 
200, to find the sides AC and BC. 



To find the side AC. 
As sine ACB, 72° - 9.978206 
: side AB, 200 - 2.301030 

:: sine ABC, 480 . 9.871073 



: side AC, 156 



12.172103 
9.978206 



2.193897 



To find the side BC. 
As sine ACB, 72° - 9.978206 
: side AB, 200 - 2.301030 

: : sine BAC, 60° - 9,937531 



: side BC, 182 



12.328561 
9.978206 

2.260355 



By natural sines. 



As THE NAT. SINE OF THE ANGLE OPPOSITE THE GIVEN SIDE 
IS TO THE GIVEN SIDE, SO IS THE NAT. SINE OF THE ANGLE OP- 
POSITE EITHER OF THE REtlUIRED SIDES TO THAT REQUIRED SIDE. 

Given side 200 ; nat. sine of 72°, its opposite angle, 
0.95115 ; nat. sine of ABC 48°, 0.743.34 ; nat. sine of BAC 
60° 0.86617. Thus, 



34 



TRIGONOMETRY. 



0.95115 ; 200 
0.95115 : 200 



0.74334 : 
0.86617 : 



156 

182.. 



CASE 11. 



Two sides, and an angle opposite to one 
of them given, to find the other angles and 
side. Fig. 47. 




240 



In the triangle ABC, given the side AB 240, the side BC 
200, and the angle at A 46^ 30' ; to find the other angles and 
the side AC. 

Tofind the angle ACB. 
As side BC, 200 2.301030 Angle at A 

: sine BAG, 46° 30' 9.860562 C 

: : side AB, 240 2.38u211 



46° 30' 
60 30 



; sine ACB, 60° 30' nearly 9.939743 



12.240773 
2.301030 I Sum of the three angles 
I Sum of two 



107.00 

180° 
107 



Angle at B 



The side AC will be found by case I. to be nearest 253. 

Note. If the given angle be obtuse, the angle sought will 
be acute ; but if the given angle be acute, and opposite a 
given lesser side, then the angle found by the operation 
maybe either obtuse or acute. It ought therefore to be 
mentioned which it is, by the conditions of the question. 



By natural sines. 



As THE SIDE OPPOSITE THE GIVEN ANGLE IS TO THE NAT. .SINE 
OF THAT ANGLE, SO IS THE OTHER GIVEN SIDE TO THE NAT. SINE 
OF ITS OPPOSITE ANGLE. 

One given side 200, nat. sine of 46^ 30', its opposite angle, 
0.72537, the other given side 240. 

As 200 : 0.72537 : : 240 : 8.87044=60" 30'. 



TRIGONOMETRY. 



35 




CASE III. 



Two sides and their contained angle giv- 
«n, to find the other angles and side. Fig. 
48. 



2fO 
The solution of this case depends on the following proposi- 

TION. 

In every plane triangle, as the sum of any two sides is to 

THEIR difference, SO IS THE TANGENT OF HALF THE SUM OF THE 

two opposite angles to the tangent of half the difference 
between them. 

Add this half difference to half the sum of the angles 

AND you will have THE GREATER ANGLE, AND SUBTRACT THE HALF 
difference from THE HALF SUM AND YOU WILL HAVE THE LESSER 
ANGLE. 

In the triangle ABC, given the side AB 240, the side AC 
180, and the angle at A 36° 40' to find the other angles and 
side. 

Side AB - 240 

AC - 180 



Sum of the two sides 420 



AB 

AC 

Difference 



240 
180 

60 



The given angle BAC 36° 40', subtracted from 180°, leaves 
143^ 20' the sum of the other two angles, the half of which is 
71° 40'. 

As the sum of two sides, 420 - - 2.623249 

: their difference 60 . . . 1.778151 

: : tangent half unknown ang. 71° 40' 10.479695 



: tangent half difference, 23° 20' nearly 

The half sum of the two unknown angles, 
The half difference between them, 

Add, gives the greater angle ACB 

Subtract, gives the lesser angle ABC 

The side BC may be found by case I or II. 
D2 



12.257846 
2.623249 

9.634597 



71° 40' 
23 20 



95 00 



48 23 



30 



TRIGONOMETRY. 



CASE IV. 



The three sides given to find the an. 
gles. Fig. 49. 




The solution of this case depends on the following pRoro- 

SITION. 

In every plane triangle, as the longest side is to 

THE sum of the OTHER TWO SIDES, SO IS THE DIFFERENCE 
between THOSE TWO SIDES TO THE DIFFERENCE BETWEEN 
THE SEGMENTS OF THE LONGEST SIDE, MADE BY A PERPENDIC- 
ITLAR LET FALL FROM THE ANGLE OPPOSITE THAT SIDE. 

Half the difference between these segments, added to half 
the sum of the segments, that is, to half the length of the 
longest side, will give the greatest segment ; and this half dif- 
ference subtracted from the half sum will be the lesser seg- 
ment. The triangle being thus divided, becomes two right 
angled triangles, in which the hypothenuse and one leg are 
given to find the angles. 

In the triangle ABC, given the side AB 105, the side AC 
85, and the side BC 50, to find the angles. 

Side AC - 85 AC . . 85 

BC - 50 BC - . 50 



Sum of the two sides 



135 



Difference 



As the longest side AB, 105 

: sum of the other two sides, 135 

: difference between those sides, 35 



: difference between the segments, 45 

Half the side AB . - - 
Half the difference of the segments 

Add, gives the greater segment AD 

Subtract, gives the lesser segment BD 



35 

2.021189 
2.130334 
1.544068 

3.674402 
2.021189 

1.653213 

52.5 
. 22.5 

75.0 

30.0 



TRIGONOMETRY. 



37 



Thus the triangle is divided into two right angled trian- 
gles, ADC and BDC ; in cacii of which the hypothenuse and 
one Ico: are ijjiven to fuid the angles. 



To find the angle DC A. 
Ashyp. AC, 85 - 1.929419 
: radius - - lO.OOUOOO 

: : seer. AD, 75 - 1.875061 



11.875061 
1.929419 



sine DCA, 61° 56' 



9.945642 



To iind the angle DOB. 
As hyp. BC, 50 - 1.698970 
: radius - - 10.000000 

: : seg. BD, 30 - 1.477121 



sine DCB, 36° 52' 



11.477121 
1.698970 

9.778151 



The angle DCA 61° 56' subtracted from 90° leaves the 
angle CAD 28° 4'. 

The ani^ie DCB 36° 52' subtracted from 90° leaves the an- 
gle CBD 53° 16'. 

The angle DCA 61° 56' added to the angle DCB 86° 52' 
gives the angle ACB 98° 48'. 

This CASE may also be solved according to the following 

PROPOSITION. 

Ix EVERY PLANE TRIANGLE, AS THE PRODUCT OF ANY TWO 
SIDES CONTAINING A REQUIRED ANGLE IS TO THE PRODUCT OF 
HALF THE SUX OF THE THREE SIDES, AND THE DIFFERENCE 
BETWEEN THAT HALF SUM AND THE SIDE OPPOSITE THE ANGLE 
REQUIRED, SO IS THE SQUARE OF RADIUS TO THE SQUARE OF 
THE CO-SINE OF HALF THE ANGLE REQUIRED. 



Those who make themselves well acquainted with trigo- 
nometry will fmd its application easy to many useful purpo- 
ses, particularly to the mensuration of heights and distances. 
These are here omitted, because, as this work is designed prin- 
cipally to teach the art of common field-surveying, it was 
thought improper to swell its size, and consequently increase 
its price, by inserting any thing not particularly connected 
with that art. 

It is recommended tc those who design to be surveyors to 
study trigonometry thoroughly ; for though a common field 
may be measured without an acquaintance with that science, 
yet many cases will occur in practice where a knowledge of 
it will be found very beneficial ; particularly in dividing land, 
and ascertaining the boundaries of old surveys. Indeed no 
one who is ignorant of trigonometry, can be an accomplish- 
ed surveyor. 



SURVEYING. 



SURVEYING is the art of measuring, laying out, and di- 
Tiding land. 

PART I. 

Measuring Land. 

The most common measure for land is the acre ; which con- 
tains 160 square rods, poles or perches ; or 4 square roods, 
each containing 40 square rods. 

The instrument most in use, for measuring the sides of fields, 
is Gunter's chain, which is in length 4 rods or 66 feet ; and 
is divided into 100 equal parts, called links, each containing 7 
inches and 92 hundredths. Consequently, 1 square chain con- 
tains 16 square rods, and 10 square chains make 1 acre. 

In small fields, or where the land is uneven, as is the case 
with a great part of the land in New England, it is better to 
use a chain of only two rods in length ; as the survey can be 
more accurately taken. 



SECTION I. 
Preliminary problems. 

PROBLEM I. To reduce two rod chains to four rod 
chains. 

Rule. If the number of two rod chains be even, take 
half the number for four rod chains, and annex the hnks if 
any ; thus, 16 two rod chains, and 37 links make 8 four rod 
chains and 37 links. 

But if the number of chains be odd, take half the greatest 
even number for chains, and for the reaanaining number add 50 
to the links : Thus, 17 two rod chains and 42 links make 8 
four rod chains and 92 links. 

PROBLEM II. To reduce two rod chains to rods and deci- 
mcd parts. 



SURVEYING. 39 

Rule. Multiply the chains by 2, and the links by 4, which 
will give hundrc('ths of a rod ; thus, 17 two rod chains and 
21 links make 34 rods and 84 hundredths ; expressed thus, 
34.84 rods. 

If the links exceed 25, add 1 to the number of rods and 
multiply the excess by 4 : thus, 15 two rod chains and 38 
links make 31.52 rods. 

PROBLElM III. To reduce four rod chains to rods and 
decimal parts. 

Rule. Multiply the chains, or chains and links, by 4 ; the 
product will be rods and hundredths : thus, 8 chains and 64 
links make 34.56 rods. 

Note. The reverse of this rule, that is, dividing by 4, will reduce 
rods and decimals to chains and links : thus, 105.12 rods make 26 
chains and 28 links. 

PROBLEM IV. To reduce square rods to acres. 

Rule. Divide the rods by 160, and the remainder by 40, 
if it exceeds that number, for roods or quarters of an acre : 
thus 746 square rods make 4 acres, 2 roods, and 26 rods. 

PROBLEM V. To reduce square chains to acres. 

Rule. Divide by 10 ; or, which is the same thing, cut off 
the right hand figure : thus, 1460 square chains make 146 
acres ; and 846 square chains make 84 acres and 6 tenths. 

PROBLEM VI. To reduce square links to acres. 

Rule. Divide by 100000 ; or, which is the same thing, cut 
off the 5 right hand figures : thus, 3845120 square links make 
38 acres and 45120 decimals. 

Note. When the area of a field, by which is meant its superficial 
contents, is expressed in square chains and links, the whole may be 
considered as square links, and the number of acres contained in 
the field, found as above. Then multiply the figures cut off by 4, 
and again cut off 5 figures, and you have the roods ; multiply the 
figures last cut off by 40, and again cut off 5 figures, and you have 
the rods. 

Example, How many acres, roods, and rods, are there in 156 square 
chains and 3274 square links ? 

15)63274 square Unks. 
4 



2)53096 
40 



21)23840 
Answer. 15 acres 2 roo(i.^ and 21 rods. 



Problems for finding the area of right lined figures, and 
also of circles. 



40 SURVEYING. 

PROBLEM VII. To find the area of a square or rectan- 
gle. 

Rule. Multiply the length into the breadth; the product 
will be the area. 

PROBLEM Vin. To find the area of a rhombus or 
rhoiiihoid. 

Rule. Drop a perpendicular from one of the angles to its 
opposite side, and multiply that side into the perpendicular ; 
the product will be the area. 

PROBLEM IX. To find the area of a triangle. 

Rule 1. Drop a perpendicular from one of the angles to 
its opposite side, which may be called the base ; then multiply 
the base by half the perpendicular; or the perpendicular by 
half the base ; the product will be the area. Or, multiply the 
whole base by the whole perpendicular, and half the product 
will be the area. 

Rule 2. U it be a right angled triangle, multiply one of 
the legs into half the other ; the product will be the area. 
Or, multiply the two legs into each other, and half the pro- 
duct will be the area. 

Rule 3. When the three sides of a triangle are known, 
the area may be found arithmetically, as follows : 

Add together the three sides ; from half their sum subtract 
each side, noting down the remainders ; multiply the half 
sum by one of those remainders, and that product by another 
remainder, and that product by the other remainder ; the 
square root of the last product will be the area.* 

Example. Suppose a triangle whose three sides are 2\ 
20, and 18 chains. Demanded the area. 

24x20x18^62, the sum of the three sides, the half of 
which is 31. From 31 subtract 24, 20, and 18 ; the three 
remainders will be 7, 11, and 13. 

31x7=217 ; 217x11=2387 ; 2387x13=31031, the 
square root of which is 176.1, or 17 acres 2 roods and 17 
rods. 



By logarithms. 

As the addition of logarithms is the same as the muhiplica- 
tion of their corresponding numbers; and as the number an- 
swering to one half of a logarithm will be the square root of 
the number corresponding to that logarithm : it follows, that 
if the logarithm of the half sum of the three sides and the log- 
arithms of the three remainders be added together, the num. 

* Better expressed thus. From half the sum of the sides subtract each side sepa- 
rately. Multiply the half sum and the several remainders togetlier, and the square 
root of the product will be the area.— Ed. 



SURVEYING. 41 

ber corresponding to one half the sum of those logarithms 

will be the area of the triangle. 

The half sum, 31 - - - 1.491362 

The first remainder, 7 - - - 0.845098 

The second remainder, 11 - - 1.041393 

The third remainder, 13 - - 1.113943 



The square of the area, 31030.083 nearly 4-491796 

Area 176 square chains 150 square links 2.245893 



Rule 4. When two sides of a triangle and their contained 
angle, that is, the angle made by those sides, are given, the 
area may be found as follows : 

Add together the logarithms of the two sides and the loga- 
rithmic sine of the angle ; from their sum subtract the loga- 
rithm of radius, the remainder will be the logarithm of double, 
the area. 

Example. Suppose a triangle one of whose sides is 105 
rods and another 85, and the angle contained between them 
28° 5'. Demanded the area. 

One side, 105 .... 2.021189 

The other side, 85 - - - - 1.929419 

Sine angle, 28° 5' - - - - . 9.672795 



13.623403 
Subtract radius ... - lO.uOOOOO 



Double area, 4200 rods nearly 3.623403 

Answer, 2100 rods. 



Note. Radius may be subtracted by cancelling the left hand figure 
of the index, or subtracting 10, without the trouble of sitting down 
the ciphers. 



By natural sines. 

Muhiply the two given sides into each other, and that pro- 
duct by the natural sine of the given angle ; the last product 
will be double the area of the triangle. 

Nat. sine of the angle 28° 5' 0.47076. 

105x85=8925, and 8925x0.47076=4201 the double area 
of the triangle. 

PROBLEM X. To find the area of a trapezoid. 



42 SURVEYING. 

Rule. Multiply half the sum of the two parallel sides by 
the perpendicular distance between them, or the sum of the 
two parallel sides by half the perpendicular distance, the pro- 
duct will be the area. 

PROBLEIM XI, To find the area of a trapezium, or ir- 
regular four sided figure. 

Rule. Draw a diagonal between two opposite angles, 
which will divide the trapezium into two triangles. Find the 
area of each triangle and add them together. Or, multiply 
the diagonal by half the sum of the two perpendiculars let fall 
upon it, or the sum of the two perpendiculars by half the di- 
agonal, the product will be the area. 

Note. Where the length of the four sides and of the diagonal is 
known, the area of the two triangles, into which the trapezium is 
divided, may be calculated arithmetically, according to Prod. IX. 
Rule 3. 

PROBLEM XII. To find the area of a figure containing 
more than four sides. 

Rule. Divide the figure into triangles, and trapezia, by 
drawing as many diagonals as are necessary, w^hich diagonals 
must be so drawn as not to intersect each other; then find the 
area of each of the several triangles or trapezia, and add 
them together; the sum will be the area of the whole figure. 



Note. A little practice will suggest the most convenient way of 
drawing the diagonals ; but whichever way they are dra^^Ti, pro- 
vided they do not intersect each other, the whole area will be found 
the same. 

PROBLEM XIII. Respecting circles. 

Rule I. If the diameter be given the circumference may 
be found by one of the following proportions : as 7 is to 22, or 
more exactly, as 113 is to 355, or in decimals, as 1 is to 
3.14159, so is the diameter to the circumference. 

Rule 2. If the circumference be given the diameter may 
be found by one of the following proportions : as 22 is to 7, oi 
cis 355 is to 113. or as 1 is to 0.31831, so is the circumfer* 
ence to the diameter. 

Rule 3. The diameter and circumference being known, 
multiply half the one into half the other, and the product will 
be the area. 

Rule 4. From the diameter only, to find the area : multi- 
ply the square of the diameter by 0.7854, and the product 
will be the area. 

Rule 5. From the circumference only to find the area : 



SURVEYING. 



» 43 



multiply the square of the circumference by 0.07958, and the 
product will be the area. 

Rule 6. The area being given to find the diameter : divide 
the area by 0.7854, and the quotient will be the square of the 
diameter ; from this extract the square root, and you will 
have the diameter. 

Rule 7. The area being given to find the circumference : 
divide the area by 0.07958, and the quotient will be the square 
of the circumference ; from this extract the square root, and 
vou will have the circumference. 



SECTION II. 

• 

The following cases teach the most usual methods of taking 
the survey of fields ; also, how to protract or draw a plot of 
them, and to calculate their area. 

Note. The field-book is a register containing the length of the sides 
of a field, as found by measuring them with a chain; also the 
bearings or courses of the sides, or the quantity of the several an- 
gles, as found by a compass or other instrument for that purpose ; 
together with such remarks as the surveyor thinks proper to make 
in the field. 



CASE I. 



To SURVEY A TRIANGULAR FIELD. 

Measure the sides of the field with a chain, and enter their 
several lengths in a field book, protract the field on paper, 
and then find the area by prob. IX. Rule 1. Or, without plot- 
ting the field, calculate the area by prob. IX. rule 3. 

Fig, 50. 
FIELD BOOK. See Fig. 50. 

Chains. 

AB - - 20 

BC - - 24 

CA - - 18 

To find the area. 

Ch. L. 
Base BC . - 24.00 
Halfperp.AD. 7.34 „ ^^ 




9600 



44 • SURVEYING. 

9600 
7200 
16S00 



Acres 17)61600 
4 



Roods 2)46400 
40 



Rods 1S)56000 



Acres Roods Rods 
Area 17 — 2 — 1S.56 

ICoTE. When there are ciphers at the right hand of the links, they 
may be rejected ; remembering to cut od" a proper number of fig- 
ures according to decimal rules. 

Ohserve^ That in measuring with a chain, slant or inclined 
surfaces, as the sides of hills, should he measured horizontally, 
and not on the plane or surface of the hill : otherwise, a sur- 
vey cannot be accurately taken. To effect this, the lower end 
of' the chain must be raised from the ground, so as to have 
the whole in a horizontal hne ; and the end thus raised must 
be directly over the point where the chain begins or ends, ac- 
cording as you are ascending or descending a hill: which 
point may be ascertained by a plummet and line. 



CASE IL 

To smVEY A FIELD !>• THE FORM OF A TRAPEZIUJI. 

Measure the several sides, and a diagonal between two op- 
posite angles ; protract the field, and find the area by prob- 
lem XI. Or, without protracting the field, calculate the area 
according to the note at the end of that problem. 

Fis. 51. 
FIELD BOOK. See Fis. 51. Ji ^. "^ 

Ch.L. ^ T'^'^^ ^^ 

AB - 27.50 
BC 



CD 
DA 
Diag. AC 



11.70 
21.50 
14.70 
72. 




SURVEYING. 



45 



To PROTRACT THIS TRAPEZIUM. 

Draw the side AB the given length ; with the diagonal AC 
28 and the side BC 11.70 describe cross arcs as at C, from 
A and B as centres ; and the point of intersection will repre- 
.-sent that corner of the field : then, with the side CD 21.50 and 
the side AD 14.70, describe cross arcs as at D, from A and 
C as centies; and the point of intersection will represent that 
corner of the field. 



To FIND THE AREA. 



sndicular B a 
— Dm 


11.34 
11.10 


diagonal AC 


22.44 
14.00 




897600 
2244 




Acres 31)416 
4 




Rood 1)664 
40 


Acres Rood 
Area 31 — 1 — 


Rods 26)560 
Rods 
26.56 



"Note. The perpendiculars need not be actually drawn ; their length 
may be obtained as follows : From the angle opposite the diagonal 
open the dividers so as when one foot is in the angular point, as at 
B, the other, being moved backwards and forwards, may just touch 
the diagonal at A, and neither go the least above or below it ; that 
distance in the dividers being measured on the scale will give the 
length of the perpendicular. 



CASE III, 



To SURVEY A FIELD WHICH HAS MORE THAN FOUR SIDES, 
BY THE CH\IN ONLY. 

Measure the several sides, and from some one of the angles 
from which the others may be seen, measure diagonals to 



46 



SURVEYING. 



them ; draw a plot of the field, and find the area by prob- 

LEM XII. 

FIELD BOOK. See Fig. 52. 

Fig, 52. 






Ch. L. 


AB 


30.60 


BC 


20.40 


CD 


22.40 AC 


DE 


16.20 AC 


EF 


13.50 AE 


FA 


28. 



Diagonals. 



Ch.L. 
45. 
35. 
24.20 



To 



PROTRACT THIS FIELD. 



Draw the side^lB, making it the given length 30.60; with 
the diagonal AC 45 and the side BC 20.40, describe cross 
arcs as at C, from the points A and B as centres, and the 
point of intersection will represent that corner of the field ; 
draw the side BC and the clotted diagonal AC ; with the dia- 
gonal AD 35 and the side CD 22.40, describe cross arcs as 
at D, from the Points A and C, and draw the Side CD and 
the dotted diagonal AD. Proceed in this manner till all the 
sides and diaofonals are drawn. 



To FIND THE AREA. 



The field being plotted, may be divided into one trapezium 
and two triangles ; the area of which is calculated as fot> 
lows : — 



SURVEYING. 



47 



The trapezium ABCD. 



Perpend. B a 
— Do 



Half diag. AC 



11.68 
17.10 

27.78 
22.50 



143900 
5756 
5756 



Square chains - 647.5500 

The triangle AFE. 
Perpend. En - . 11.65 

Hair side AF - . 14 



4660 
1165 



Square chains - - 163.10 

Acres Roods Rods 
Area 98 — — 34.4 



The triangle ADE. 



Half perp. E m 
Diag. AD 



Square chains 



Trap. ABCD 
Triangle ADE 
Triangle AFE 



4.90 
35 

2450 
1470 

171.50 



- 647.55 

- 171.50 

- 163.10 

Acres 98)215 
4 

Roods .860 
40 



Rods 34)400 



REMARKS. 



As each of the sides of the several triangles, into which the 
precedmg plot of a field is divided, is known from the field 
book, the area of the field may be calculated arithmetically, 
by finding the area of each triangle, according to trob. IX. 
Rule 3 ; and then adding the whole together. This method, 
though it may require more time, is preferable to the other, 
because more accurate. Indeed it is always better to calcu- 
late the area of a field arithmetically than geometrically ; 
for in the former no two persons can differ in their calcula- 
tions ; whereas, according to the latter, which is the com- 
mon method of casting the contents of a field, it is hardly to 
be expected that any two persons will perfectly agree. The 
inaccuracy of scales, and the difficulty of determining with 
precision the length of sides and perpendiculars with a scale 
and dividers, render it almost if not quite impossible to obtain 
the exact area of a field, in the method commonly practised, 
even if the surveyor has measured it accurately in the first 
place. 

Other methods of taking the survey of a field by the chain 
only are mentioned in some treatises on this subject, but they 

E2 



48 SURVEYING. 

are rather curious than useful ; and it is much better to ascer- 
tain the angles by an accurate compass, or some instrument 
designed purposely for taking angles. 



CASE IV. 

To SURVEY A FIELD WITH A CHAIN A>-D COMPASS. 

Measure the length of the sides with a chain, and take their 
beariug or coui-se with a compass ;* enter these in a field 
book; plot the field on paper, and calculate the area by the 

directions already given. 

To PROTRACT OR DRAW A MAP OF A FIELD. 

Draw a line to represent a meridian, or north and south 
line, from which lay off a bearing or course of the first side 
of the field, with a protractor or trom a line of chords ; and 
from a scale of equal parts, measure the length of the side 
and draw aline to represent it. 

At the end of this line draw a line parallel to the meridian 
line, and then lay off the second side of the field as before 
taught ; proceed in the same manner to draw parallel lines, 
and lay off the several sides till the whole is protracted. 

In protracting a field, let the top of the paper be considered 
as north, the bottom south, the right hand east, and the left 
hand west ; lay the course to the right or left of the meridian 
line, according as it is east or west, and upwards or down- 
wards, according as it is north or south. 

In all protractions, if the end of the last distance falls ex- 
actly on the point from which you began, tlie course also be- 
ing right, the field work and protractions are truly taken and 
pertormed ; if no% an error must have been committed in one 
of them : in such cases, make a second protraction ; if this 
agrees with the former, it is to be presumed the fault is in the 
field work ; a re-survey must then be taken. 

* A compass may be so constructed with two indexes, one moveable 
and the other fixed, as to ascertain the angle made by two sides, without 
reference to the bearing of those sides. Such a compass would be par- 
ticularly useful in surveying land where there are mineral substances 
which have an influence upon the compass needle, attracting it one way 
or the other, and thus rendering it impossible to take a course by ii 
with precision. 





SURVEYING 


FIELD BOOK. 

AB. N. T 0' 
BC. N. 74 
CD. S. 9 
DE. N. 63 20 
EA. S. 74 


Set Fig. 53. , 

Ch.L. \i 
W. 28.20 PBL- 
E. 39.50 fx. 
E. 38. \ \^ 
W. 14.55 I j 
W. 28.60 111 



49 



Fig. 53. 



Acres Rood Rods 
Area 117 — 1 — 6 




REMARKS. 



The sides of the several triangles into which the plot of a 
field is divided may be found by trigonometry ; anch then the 
area of each triangle may be calculated according to prob. 
IX. Rule 3. The sum of the areas of the several triangles 
will be the area of the whole field. This method may re- 
quire more time, but it is perfectly accurate, since no de- 
pendence is placed on the uncertain measurement of scale 
and dividers. 

in the preceding example, suppose the field divided into 
three triangles. See Fig. 53. In the triangle EAB, the 
sides EA and AB are known from the field book, and their 
contained angle is known from the bearing of the sides. The 
other angles and the side EB may be found by oblique trig- 
onometry, CASE 111. ; and then there will be the three side* 
to find the area. In the triangle EBC, the side BC is known 
from the field book, and the side EB is found as above men- 
tioned ; the angle EBA is also found as above: this subtract- 
ed from the angle ABC, which may be found from the bear- 
ing of the sides AB and BC, will leave the angle EBC : there 
will then be the two sides and their contained angle to find 
the third side; and this being found, there will be the three 
sides to find the area. Jn the triangle EDC, the sides DE 
and DC are known from the field book, and their contained 
angle is known from the bearing of the sides. The side EC 
and the area may be found as above. 

It is recommended to the learner to make these calcula- 



50 



SURVEYING. 



tions, as it will improve him in the knowledge of trigonome- 
try. 

Note. Two sides and their contained angle being given, the area 
may be found by pros. IX. Rule 4. 



Another method of protracting fields. 

Without drawing "parallel lines at the end of each side, a 
field may be protracted by the angles made by the several 
sides ; and the angle made between any two sides may be 
found by the following rules. 

Rule 1. If the course or bearing of one of the sides is 
north and the other south, one east and the other west, sub- 
tract the less course from the greater. 

Rule 2. If one is north and the other south, and both east 
or west, add both courses together. 

Rule 3. If both are north or south, and one east and the 
other west, subtract their sum from 180^. 

Rule 4' If both are north or south, and both east or west, 
add the less course, and the supplement of the greater. 

In each case, the result will give the angle contained by the 
two sides. 

To protract a field according to the preceding rules is pre- 
ferable to the method of doing it by parallel lines, though it 
may not be so easy to the learner at first. It is difficult to 
draw parallel lines w'th perfect accuracy, and a small devia- 
tion from a true line may make considerable difference in the 
plot of a field.* 



Example II. 



FIELD BOOK. See Fig. 54. 



AB. N. 16° 30' E, 



Ch. L. 
22. 



BC. N. 82 E. 19.60 

CD. S. 17 E. 24. 

DE. S. 37 W. 22. 

EA. N. 49 W. 25.20 

Area 85 acres. 




* See Appendix No. 7. 



SURVEYING. 



51 



Tb DRAW A PLOT OF THIS FIELD, ACCORDING TO THE PRECE- 
DIXG RULES. 

Having drawn the side AB, according to the directions be- 
fore given for laying off the first course and distance, com- 
pare the first and second courses together, and they will be 
found to be both north and both east ; consequently, the angle 
between them is found by rule 4, as follows : 16^ 30' the less 
course, and 98^ the supplement of the greater being added, the 
sum is 114° 30', for the angle at B. Compare the second 
and third courses, and they will be found to be one north and 
one south, and both east ; consequently, according to rule 2, 
82^ the second course added to 17° the third course, the sum 
99° is the angle at C. The third and fourth courses are both 
south, and one east and the other west. The angle between 
them at D is 126° ; for 17° the third course added to 37° the 
fourth course is 54°, which subtracted from 180° leaves 126°, 
according to rule 3. The fourth and fifth courses are one 
south and the other north, and both west. According to rule 
2, 37° the fourth course added to 49° the fifth course, the sum 
86° is the angle at E. 

A little practice will render this mode of protracting a field 
familiar and easy, and an attention to the courses will show in 
what direction the angle is to be made. 



Example III. 



FIELD BOOK. See Fig, 55. 




52 





SURVEYING. 














Ch. L. 


AB. 


N. 


56° 


15' 


E. 


21.60 


BC. 


N. 


26 


30 


E. 


13.44 


CD. 


S. 


71 


30 


E. 


18.96 


DE. 


S. 


26 


30 


E. 


13.44 


EF. 


s. 


71 


30 


W. 


18.96 


FG. 


s. 


45 





E. 


8.47 


GH. 


s. 


63 


30 


E. 


13.44 


HI. 


N. 


45 





E. 


8.47 


IK. 


s. 


26 


30 


E. 


13.44 


KL. 


s. 


45 





W. 


8.47 


LM. 


s. 


63 


30 


w. 


13.44 


MN. 


N. 


76 





vv. 


24.73 


NA. 


N. 


36 


45 


w. 


30. 


Acres Rood Rods 








Area 167 — 1 


— 30 









The above field may be protracted, and its area calculated 
according to the directions given in the preceding examples. 



Several field books to exercise the learner in plot- 
ting FIELDS and calculating THEIR AREA. 



















Ch. L. 




No. I. 




Rods 


8. 


N. 


53° 


15' W. 


11.60 


1. 


N. 15° 0' 


E. 


320 


9. 


N. 


36 


45 E. 


19.20 


2. 


x\T. 37 30 


E. 


160 


10. 


N. 


22 


30 E. 


14. 


3. 


East 




120 


11. 


S. 


76 


45 E. 


12. 


4. 


S. 11 


E. 


200 


12. 


S. 


15 


W. 


10.85 


5. 


South 




216 


13. 


s. 


16 


45 W. 


10.12 


6. 


West 




160 






Acres 


5 Roods Rods. 


7. 


S. 36 30 


W. 


160 




Area 110 


— 2 


23 


8. 


N. 38 15 W. 
Acres Roods 


136 

Rods 
















No 


.III. 


Rods. 




Area 744 - 


-3 - 


-28 


1. 


S. 


65° 


40' W. 


49.7 










2. 
3. 


s 


67 


15 W. 

W. 


34.5 
17.9 




No. 11. 




Ch.L. 


s. 


U 1 

54 


1. 


N. 75° 0' 


E. 


13.70 


4. 


s. 


20 


W. 


5.8 


2. 


N. 20 30 


E. 


10.30 


5. 


s. 


7 


30 E. 


29.4 


3. 


East 




16.20 


6. 


N. 


83 


E. 


107.4 


4. 


S. 33 30 


W. 


35.30 


7. 


N. 


5 


50 W. 


22. 


5, 


S. 76 


w. 


16. 


8. 


N. 


18 


30 W. 


46. 


6. 


North 




9. 






Acres Rood Rods. 


7. 


S. 84 


w. 


11.60 




Area 34 


— 1 — 


19 









SURVEYING. 




53 




NO. IV. 




Rods. 








Rods. 


1. 


N. 


43^ 0' 


vv. 


12.44 


16. 


N. 


18° 30' 


W. 39. 


2. 


N. 


64 i) 


VV. 


8. 


17. 


N. 


86 5 


E. 26.7 


3. 


N. 


52 ^ 


VV. 


14.60 






Acres Rood Rods 


4. 


N. 


37 5 


VV. 


51.36 




Ai 


-ea 48 — 


1 — 12 


5. 


N. 


15 30 


VV. 


21.76 










6. 


N. 


20 40 


W. 


44.60 






No. VII. 


Ch. L. 


7. 


N. 


88 20 


E. 167.60 1 


1. 


N. 


0° 45' 


\W. 9. 


8. 


S. 


34 40 


E. 


71.20 


2. 


N. 


19 30 


W. 5.35 


9. 


S. 


75 


W. 


69.72 


3. 


N. 


23 


VV. 4.09 


10. 


s. 


55 


w. 


64.60 


4. 


N. 


41 35 


W. 6.15 


11. 


s. 


25 


w. 


18.12 


5. 


N. 


3 


W. 36.75 




Acres Roods Rods. 


6. 


S. 


86 50 


W. 13.33 




Area 97 — 2 


-29 1 


7. 


N. 


2 15 


W. 17.65 












8. 


N. 


85 45 


E. 12.56 






No. Y. 




Rods. 


9. 


S. 


2 10 


E. 8. 


1. 


S. 


IP 50^ 


W. 


34.6 


10. 


N. 


86 45 


E. 7.38 


2. 


s. 


63 20 


E. 


93.6 


11. 


S. 


3 15 


E. 13.20 


3. 


N. 


4 


W. 


34.9 


12. 


N. 


87 


E. 29.92 


4. 


S. 


89 55 


E. 


40.1 


13. 


N. 


49 20 


E. 4.04 


5. 


N. 


5 20 


VV. 


35.5 


14. 


North 


2.23 


6. 


N. 


69 40 


W. 


60- 


15. 


N. 


50 35 


E. 6.50 


7. 


S. 


78 


w. 


30.6 


16. 


S. 


22 50 


E. 17.94 


8. 


N. 


67 20 


w. 


1.2 


17. 


S. 


34 


W. 3.50 


9. 


S. 


72 30 


w. 


10.4 


18. 


s. 


41 


W. 3. 


10. 


s. 


66 55 


w. 


15.2 


19. 


s. 


22 50 


W. 9.25 




, 


\cres Rood Rods. 


20. 


s. 


3 40 


E. 2.64 




Area 41 — 1 


— 34 


21. 


s. 


86 


VV. 2.50 












22. 


s. 


25 


W. 14.50 






No. VJ 


[. 


Rods. 


23. 


s. 


2 


W. 5.38 


1. 


S. 


34^ 0' 


E. 


42.?^ 


24. 


s. 


10 


E. 11.75 


2. 


s. 


29 


E. 


69.4 


25. 


s. 


86 


W. 34.60 


3. 


s. 


64 50 


VV. 


53. 






Acres Roods Rods 


4. 


s. 


25 


E. 


4. 




Area 268 — 


3 — 7 


5. 


s. 


66 30 


W. 


39. 










6. 


N. 


25 


W. 


4. 






No. YIII 


Rods. 


7. 


S. 


64 45 


W. 


32 2 


1. 


S. 


6° 30' 


E. 19.1 


8. 


N. 


30 30 


VV. 


18.3 


2. 


S. 


63 30 


E. 14.36 


9. 


N. 


56 30 


E. 


34.5 


3. 


s. 


67 


E. 10.68 


10. 


N. 


64 


E. 


12.5 


4. 


N. 


88 


E. 13.3 


11. 


N. 


49 


E. 


14. 


5. 


S. 


31 30 


W. 32.44 


12. 


N. 


26 10 


W. 


19.3 


6. 


s. 


31 55 


W. 96.5 


13. 


N. 


21 


W. 


18.3 


7. 


s. 


33 25 


W. 34.9 


14. 


N. 


44 10 


W. 


18. 


8. 


s. 


20 45 


E. 3.68 


15. 


N. 


64 40 


E. 


30.5 


9. 


s. 


16 15 


VV. 64. 



54 








SURVEYING. 








10. 


N. 


52°30' 


W. 


12.8 


21. 


N. 


36° 0' 


E. 


41..56 


11. 


S. 


45 


W. 


18.24 


22. 


S. 


68 


E. 


80.6 


12. 


S. 


69 


W. 


21.4 


23. 


N. 


44 30 


E. 


20.4 


13. 


s. 


12 40 


W. 


9.4 


24. 


N. 


2 30 


W. 


41. 


14. 


s. 


84 20 


V\^. 


9.5 


25. 


N. 


14 45 


W. 


62..32 


15. 


N. 


22 15 


W. 


24. 


26. 


N. 


16 


w. 


14.8 


16. 


North 




9.8 


27. 


N. 


1 45 


w. 


14.8 


17. 


N. 


29 15 


W. 


30.6 


28. 


N. 


82 30 


E. 


99. 


18. 


N. 


44 25 


W. 


21.8 












19. 


N. 


61 30 


W. 


23.1 




Acres Rood Rods 


20. 


N. 


41 


W. 


10.8 




Area 135 — 1 


— 15 



CASE V. 

To StTRVEY A FIELD FROM ONE STATION AT AXY PLACE 
WITHI?f THE FIELD, FROM WHICH THE SEVERAL ANGLES MAY 
BE SEEN. 

Take the bearing of the angles, and measure their distance 
from the station. 



FIELD BOOK. See Fig. 56. 



Plir. 56, 




station to A. 


N. 


20° W. 


8.70 


B. 


N. 


60 E. 


10. 


C. 


N. 


87 E. 


11.40 


. 1). 


S. 


15 E. 


10.50 


E. 


S. 


60 W. 


12. 



F. N. 65 W. 



8.78 



TO PROTRACT THIS FIELD. 

Draw a meridian hne as N. S. From some point in that 
line as a centre, lay off the bearing and distance to the sev- 
eral angles, and draw lines from one angle to another, as 
AB, BC, CD, &c. 



SURVEYING. 



5d 



TO FIND THE AREA. 



The Area may be calculated according to prob. XII. by 

measuring diagonals and perpendiculars ; or more accurately 
according to prob. IX. Rule 4. 

As the bearing and distance of the lines from the station to 
the several angles are known, two sides and their contained 
angle are given in each of the triangles into which the plot 
is divided ; the area may, therefore, be readily calculated by 
the RULE above referred to. 

Note. As in the operation, the logarithm of radius is to be subtract- 
ed from the sum of the other logarithms, it may be done by rejecting 
the left hand figure, without the trouble of putting down the ciphers 
and subtracting. 



Triangle aAB. 
aA, 8.70 - 
aB, 10 - . - 
Sine AaB, 80° - 

Doub. area, 85.67 

Triangle aBC. 
aB, 10 - . . 
aC, 11.40 - 
SineBaC, 27*^ . 

Doub. area, 51.73 

Triangle aCD. 
aC, 11.40 
aD, 10.50 - 
SineCaD, 78° . 

Doub. area, 117 - 



0.939519 
1.000000 
9.993351 

1.932870 



1.000000 
1.056905 
9.657047 

1.713952 

1.056905 
1.021189 
9.990404 



2.068498 



1 Triangle aDE. 

aD, 10.50 . 
aE, 12 - . . 
SineDaE,75° - 

Doub. area, 121.7 

Triangle aEF. 
aE, 12 . - . 
aF, 8.78 - 
Sine EaF, 55° - 

Doub. area, 86.31 

Triangle aFA. 
aF, 8.78 - 
aA, 8.70 - 
Sine Fa A, 45° - 

Doub. area, 54.01 



1.021189 
1.079181 
9.984944 

2.085314 



1.079181 
0.943495 
9.913365 

1.936041 

0.943495 
0.939519 
9.849485 

1.732499 



Triangle aAB 
aBC 
aCD 
^ aDE 
aEF 
aFA 

Double area 

Area 



85.67 827 

51.75 4 

117.1 

121.7 3)308 

86.31 40 

.54.01 

12)320 

516.54 Acres Roods Rods 

Area 25 — 3 — 12.32 

25)827 



56 



SURVEYING. 



CASE VI. 

To SURVEY A FIELD FKOM SOME ONE OF THE ANGLES, FBOM 
WHICH THE OTHERS MAY BE SEEN. 

From the stationary angle take the bearing and distance to 
each of the other angles, with a compass and chain. 



FIELD BOOK. See Pig. 57. 










Ch. L. 


FG. 


N. 


70° 


W. 14.60 


FA. 


N. 


50 


W. 18.20 


FB. 


N. 


30 


W. 16.80 


FC. 


N. 


10 


W. 21.20 


FD. 


N. 


7 


E. 16.95 


FE. 


N. 


30 


E. 8.50 


TO DRAW A 


PLOT 


OF THIS FIE] 



Draw a meridian line to pass through the stationary angle 
as at F. From the point F, lay off the bearing and distance 
to the several angles, and connect them by lines, as FG, FA, 
FB, &c. 

The area may be calculated as taught in the preceding 

CASE. 



CASE VII. 



To SURVEY A FIELD FROM TWO STATIONS WITHIN THE FIELD, 
PROVIDED THE SEVERAL ANGLES CAN BE SEEN FROM EACH 
STATION. 



SURVEYING. 



5t 



Find the bearing from each station to the respective an. 
gles ; and also the bearing and distance from one station to 
the other. 

Fig. 58. 



FIELD BOOK. See Fig, 58. 




First Station. 




Second Station. 


AC. N. 38° 30' 


E. 


BC. S. 82° 0' E. 


AD. S. 69 


E. 


BD. S. 17 E. 


AE. S. 59 


W. 


BE. S. 28 W. 


AF. N. 63 


W. 


BF. S. 49 W. 


AG. N. 21 


W. 


BG. N. 76 W. 


AH. North. 




BR. N. 24 W. 



Stationary line AB. N. 14° E. 20 chains. 

To PROTRACT THIS FIELD* 

At the first station A, draw a meridian line and lay off the 
bearings to the respective angles ; draw the stationary line 
AB, according to the bearing and distance ; at B, draw a 
meridian line parallel to the other, and lay off the bearings 
to the angles, as taken from this station ; from each station 
draw lines through the degree which shows the bearing of 
each angle, as marked by the protractor or line of chords, 
and the points where those lines intersect each other will be 
the angles of the field. Connect those angular points togeth- 
er by lines, and those lines will represent the several sides of 
the field. 



CASE VIII. 

To SURVEY AN INACCESSIBLE FIELD. 

Fix upon two stations at a convenient distance from tht 



58 SURVEYING. 

field, from each of which the several angles may be seen ; 
from each station take the bearing of the angles ; and take the 
bearing and distance from one station to the other. 

Fig. 59. 



FIELD BOOK. See Fig. 59. 




" ''C 









A 


i/ --'■'' 


''v 1- 










B 








s 




S"' 






First Station. 








Second Station. 




AE. 


N. 9° 15' 


E. 




BE. 


N. 50° 0' 


W 


AF. 


N. 16 


E. 




BF. 


N. 29 15 


w 


AG. 


N. 14 30 


E. 




BD. 


N. 24 


w 


AD. 


N. 39 


E. 




BG. 


N. 21 30 


w 


AH. 


N. 40 


E. 




BH. 


N. 5 


E 


AC. 


N. 72 


E. 




BC. 


N. 20 30 
Ch. L. 


E 



Stationary distance AB, S. 88° 30' E. 19.20. 

The directions given in the last case for plotting the field, 
will apply in this case also ; and the area in this and the pre- 
ceding CASE may be calculated in the manner pointed out in 
CASE IV. by dividing the plot into triangles and measuring 
diagonals and perpendiculars. Or the sides may be found by 
trigonometry, and the area calculated arithmetically, as al- 
ready taught. 



CASE IX. 

To SURVEY A FIELD WHERE THE BOUNDARY LINES ARR 



SURVEYING. 



59 



VERY IKREGULAR, WITHOUT 
EVERY SHALL BEND. 



NOTICING WITH THE COMPASS 



Begin near one corner of 
the field, as at A, Fig. 60, 
and measure to the next 
large corner, as B, in a 
straight line ; noticing also 
the bearinoj of this line. 
From the line take offsets 
to the several bends, at right 
angles from the line ; noti- 
cing in the field book at 
what part of the line they are 
taken, as at A 1, H 2, 1 3, B 4. 
Proceed in the same manner 
round the field. In the figure 
the dotted lines represent the 
stationary lines, and the 
black lines the boundaries of 
the field. 



Fig, 60. 




Bearing and Distance. 


Offsets 


Bearing and Distance. 


Offsets 


Ch. L. 

AB.N.85°0'E. 11.20 

at 5.40 

8.26 

the end 


Ch. L. 

0.56 
1.40 
0.36 
0.36 


Ch. L. 

EF.S.67°50'W. 8.20 

at 1.04 

2.96 

5.88 

the end 


Ch. L. 
0.40 
0.36 
0.33 
1. 
0.12 


BC. N. 7^ 20' E. 7.<J6 

at 2.36 

4.28 

the end 


0.20 
0.36 
0.96 
0.30 


FG. S.27°40'E. 7.06 
at 2. 
the end 


1.20 
0.24 
0.16 


CD. N. 62° 0' VV. 4.68 

at 4.34 


0.30 


GA. S. 25° 20' W. 6.48 
at 3.80 
the end 


0.80 
0.40 


DE. IN. 11« lO' W. 4.20 


0.30 



To TROTRACT THIS FIELD. 



Draw the stationary lines according to the directions in 
CASE IV. From A make an offset of 56 links to I ; measure 
from A to II 540 links, and make the offset, H 2, 140 links ; 
measure from A to 1 826 links, and make the offset 1 3, 36 
links at B make the offset B 4, 36 links. Proceed in the same 
manner round the field, and connect the ends of the offsets 
by lines, which will represent the boundaries of the field. 
F2 



60 SURVEYING. 



To FIND THE AREA. 

Find the area within the stationary lines as before taught ;• 
then of the several small trapezoids, rectangles, and trian- 
gles made by the stationary lines, offsets, and boundary lines, 
and add the whole together : thus, add 56 links the offset A 
1 to 140 links the offset H 2 and multiply their sum 196, by 
half 540, the length of the line AH, and the product, 52920 
square links, will be the area of the trapezoid AH 21 ; again, 
add 140, the offset H 2 to 36, the offset! 3, and multiply their 
sum, 176, by half 286, the length of the line HI, and the pro- 
duct, 25168 square links, will be the area of the trapezoid 
HI 32. Proceed in the same manner to calculate the area of 
all the trapezoids, triangles, &;c. 



CASE X. 

To SURVEY A FIELD BY TAKING OFFSETTS BOTH TO THB 
RIGHT AND LEFT; THAT IS, WITHIN AND WITHOUT THE FIELD, 
AS OCCASION SHALL RECiUIRE, IN CONSEQUENCE OF THE STA- 
TIONARY LINES CROSSING THE BOUNDARY LINES ; ALSO, BY 
INTERSECTIONS, THAT IS, TAKING THE BEARING OF AN IN- 
ACCESSIBLE CORNER FROM TWO STATIONS. 

The directions given in the preceding case, together with 
the following field book, will show the learner how to sur- 
vey a field like the following, and also to protract it when 
surveyed. 



SURVEYING. 



61 



FIELD BOOK. 
See Fig. 61. 




Otfsets 

to the Bearing and distance. 
Left 


Ortseis 
to the 
Right 


Remarks. 


: Ch. L. 

Ch. L.IAB. N. 88° 0' W. 2212 
1.121 at 4.25 
3.40 7.40 
1.25 13. 


Ch. L. 


A tower bears from 
A. N. 48° W, 


0.45 


BC.N.27^45'VV. 21.12 

at 4.10 
10.25 
15. 


1.20 
1.15 


From B the tower bears 
N. 38° 30' E. 




C 1. S. 82« 15' E. 5.45 
1 2. iN. 70 E. 13.25 
2D. N.20 OE. 3.36 




From C go into the field 
to 1, on account of some 
impediment on or near the 
boundary line. At D, you 
get into another corner of 
the field. 


. 


DF. S. 35^0'E. 15.15 




E, an inaccessible corner, 
bears from D. S. 65° 30' E. 


2.20 
2.32 


FA. S. 15° 15' E. 15.10 
at 1.20 

7.45 
12.25 


0.36 


E, the inaccessible corner, 
bears from F. N. 4° W. 



Note. — To draw a tree, house, tower, or any other remarkable object, m 
its proper place, in the plot of a field — from any two stations, while 
surveying the field take the bearing of an object, and the intersection 
of the lines, which represent the bearings, will determine the place 
of the object, in the same manner that the tower is drawn in the 
figure. 



•3 SURVEYING. 

To FI2?D THE AREA OF THE ABOVE FIELD. 

Find the area within the stationary lines, and then of the 
several small trapezoids. &c. remembering to distinguish 
those without the stationary lines from those which are with- 
in. Subtract the area of those within the stationary lines 
from the area of those without, and add the remainder to the 
area contained within the stationary lines ; the sum will be 
the whole area of the field. 

[Or, add the areas of those without the stationary lines, to 
the area contained within those lines, and subtract from the 
sum, the areas of the several triangles, trapezoids, ike. within 
the stationary lines.] 



SECTION III. 

R.ECTAXGrL-AJS 5rEVEYI>"G, OR AX ACCrEATE METHOD OF 
CALCULATI>'G THE AREA OF A FEELD ARITH31ETICAELY, FROM 
THE FEELD BOOK, WITHOET THE >-ECESSITT OF PEOTEACTI^"G 
rr, AXD MEASURES'G WITH A SCALE AMD DEVIDEKS, AS IS C03t- 
MOXT-Y PRACTISED. 

I. Survey the field in the usual method, with an accurate 
compass and chain, and from the field book set down, in a 
traverse table, the course or bearing of the several sides, 
and their length in chains and links, or rods and decimal parts 
of a rod ; as in the 2nd and 3d columns of the following 

EXAMPLE. 



SURVEYING. 



63 





1 


















■ST 








































o 




OJ 










t: S 








•— ' 


^ 




o 




















to 






. 
































c»<! 








^ 


o^ 




(N 




2 








c 


55 












g 


«o 








OV 


CO 














o 






























^ g 




in 












Q 


>o 






























2;<!; 


s 


^ 


• 


• 








"^ 


CO 








Tf 


to 


S 


oo 


■<*l 


cn 


a> 


CO 










°q 


aj 


Tt< 


■^ 


t- 


o 






o 


>o 


o 


ai 


o 


o> 


lO 


1— 1 






<N 


«5 


« 


o 


«o 


(>> 


«o 


(>> 




























^-: 


S' 


<N 


«o 


(N 


<N 


j> 


CQ 


o 






i> 






t^ 


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i> 


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, 


2o 


o 


ifS 


VO 


■<:*• 


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as 


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O CT3 


CO CO 


1— 1 r—t 


Tj* Ti< 














^co 


CO(N 


CO M 


00 00 


< 




<— 1 -^ 


lOCC 


8S 


■* «D 








1 


oco 


V, 




J>? 


COC>1 


m »o 












H 


w 


o o 


TJ< -^ 


o o 


OiO> 










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coco 












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00 »o 


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gg 






t-o 


coo 












o o 


OtO 




. 


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1>«- 






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i>«o 


l^Tt* 




^ 


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ro r: 




• 


• 


• 


■ 


s^ 


lO »n 
coco 




^ 


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o 


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b 
o 






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^ 
B 


in 






o 


£; 




1— 1 


-g 


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00 






U 


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^ 


:?: 


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1 °° 





19143.9019 Sum of South Areas. 
4245.4016 North do. 



2)1489«.5u03 Double Area of the Field. 



Acres 744)92501 



Roods 3)70004 
40 



Rods 28)00160 

Acres. Roods. Rods. 
Area 744 — 3 — 28 

2. Calculate by right angled trigonometry, case I, or 
find by the table of difference of latitude and departure,* or 

*For an explanation of this table, and the manner of using it, see the re- 
marks preceding the table. 



64 SURVEYING. 

by the table of natural sines,* the northing or southing, east- 
ing or westing, made on each course, and set them down 
against their several courses in their proper columns, marked 
N. S. £. W. 

Note. To determine whether the latitude and departure for any par- 
ticuJar course and distance are accurately calculated, square each of 
them ; and if Ihey are right, the sum of their squares will equal the 
square of the distance, for the following reason : the latitude and de- 
parture represent the two legs of a right angled triangle, and the 
distance the hypothenuse ; and it is a mathematical truth, that the 
square of the hypothenuse of any right angled triangle is equal to 
the sum of the squares of the two legs. 

3. If the survey has been accurately taken, the sum of the 
northings will equal that of the southings, and the sum of the 
eastings v/ill equal that of the westings. If, upon adding up 
the respective columns, these are found to ditfer very con- 
siderably, the field should be again surveyed ; as some error 
must have been committed, either in taking the courses or 
measuring the sides. If the difference is small, a judicious, 
experienced surveyor will judge from the nature of the ground, 
or shape of the field surveyed, where the mistake was most 
probably made, and will correct accordingly. Or, the north- 
ings and southings, and the eastings and westings may be 
equalled by balancing them, as follows: subtract one half the 
difference from that column which is the largest, and add it 
to that column which is the smallest ; and let the difference, 
to be added or subtracted, be divided among the several 
courses, according to their length. 

lnEXA3iPLE 1. the upper numbers are the northings, &:c. as 
found by a table of difference of latitude and departure. The 
several columns being added, the northings are found to ex- 
ceed the southings 47 links, and the westings to exceed the 
eastings 24 links. [47 being uneven, drop a link from the 
northings, and it becomes 46. Let half of this (23) be taken 
from the northings, and added to the southings ;] likewise, 
take 12 links from the westings, and add it to the eastings. 
Take from the first course of the northings 12 links, from the 
second 7, and from the third 5 ; to the first southing add 7 
links, to the second 10, and to the third 6 ; add to the first 
easting 3 links, to the second 3, to the third 4, and to the 
fourth 2 ; take from the first westing 5 links, from the second 
4, and from the third 3. [These are the proportional correc- 

* See the remarks preceding the table of natural sines. 



SURVEYING. 65 

tions belonging to each, as found by calculation.*] The lower 
numbers will then represent the northings, &c. as balanced. 

4. These columns being balanced, proceed to form a depar- 
ture column, or a column of meridian distances ; which shows 
how far the end of each side of the field is east or west of the 
station where the calculation begins. This column is formed 
by a continual addition of the eastings, and subtraction of the 
westings ; or by adding the westings and subtracting the east- 
ings : see example 1. 

The first easting, 20.74, is set for the first number in the de- 
parture column; to this add 24.38, the second easting, and it 
makes 45.12, for the second number; to this add 30.04, the 
third easting, and it makes 75.16, for the third number ; to this 
add 9.56, the fourth easting, and it makes 84.72, for the fourth 
number ; the fifth course being south, it is evident the meridian 
distance will remain the same, therefore, place against it the 
same easting as for the preceding course ; from this subtract 
39.95, the first westing, and it leaves 44.77, for the sixth 
course ; from this subtract 23.75, the second westing, and it 
leaves 21.02, for the seventh course ; from this subtract 21.02, 
the last westing, and it leaves 0.0 to be set against the last 
course, which shows that the additions and subtractions have 
been accurately made. For as the eastings and westings equal 
each other, it is evident that one being added and the other 
subtracted, there will be in the end no remainder. 

5. The next step in the process is to form a second depar- 
ture column, the numbers in which show the sum of the meri- 
dian distances at the end of the first and second, second and 
third, third and fourth courses, &:c. 

The first number in this column will be the first in the other 
departure column ; to which add the second number in that 
column for the second in this ; for the third add the second 
and third ; and for the fourth, the third and fourth ; and so on 
until the column be completed. See exa3iple 1. 

The first number to be placed in the second departure col- 
umn is 20.74 ; to this add 45.12, and it makes 65.86 for the 
second number ; to 45.12 add 75.16, andit makes 120.28, for 
the third number; to 75.16 add 84.72, and it makes 159.88 
for the fourth number ; to 84.72 add 84.72, and it makes 
169.44 for the fifth number ; to 84.72 add 44.77, and it makes 
1159.49 for the sixth number ; to 44.77 add 21.02, and it makes 
65.79 for the seventh number ; to 21.02 add 0.0, and it makes 
21.02 for the eighth number. 

6. When the w^ork is thus far prepared, multiply the seve- 
ral numbers in the second departure column by the northings 
or southings standing against them respectively ; place the 

See Appendix, No. 5. 



C6 SURVEYING. 

products of those multiplied by the northings in the column of 
north areas, and of those multiplied by the southings in the 
column of south areas ; add up these two columns and sub. 
tract the less from the greater ; the remainder will be double 
the area of the field in square rods or square chains and links, 
whichever measure was used in the survey. 

[In the preceding explanations, the meridian is supposed to 
pass through the extreme west angle of the field. It is best 
always to take the extreme east or west angle.] 

Fig. 62. 

a. 9 ^ 



Demonstration of the preceding rules. ■ 
See Fig. 62, and example I. i 



The dotted line A 2 represents the northing, and the line 
2 B the easting made by the first course ; these multiplied 
together, that is, 77.15x20.74=1600.0910, which is double 
the area of the triangle A2B, as is evident from the rule to find 
the area of a triangle, prob. IX. Rule I. This number is to 
be placed for the first number in the column of north areas. 
The line 3C represents the sum of the eastings made by the 
first and second courses, which is 45.12, the second number in 
the first departure column ; if to this you add 20.74 the length 
of the fine 2B you have 65.66, which is the second number in 
the second departure column, and which represents the sum of 
the two lines 3C and 2B. These two lines, with the line 2 3 
which represents the northing made by the second course, and 
the line BC, one of the sides of the field, form a right angled 
trapezoid. Now, by the rule to find the area of such a trape- 
zoid, See PROB. X. 65.66x31.66=2085.1276, double the 
area of the trapezoid 2BC3. Place this product for the second 
number in the column of north areas. 

To the line 3C add CD 30.04, the easting made by the 
third course, and you have 75.16, which is the sum of the 



SURVEYING. 67 

castings made by the three first courses, and the third number 
in the first departure column. To this add 9.56, the easting 
of the fourtli course, and you have 84.7*2, the length of the 
line IE, which represents the sum of the eastings made by 
the four first courses, and is the fourth number in the first de- 
parture column. These two, viz. the Hnes 3D 75.16 and IE 
84.72, added together make 159.88, the fourth number in tlie 
second departure column; which, being multiplied by 49.15, 
the length of the line 3 1 which represents the southing 
made by the fourth course, will give double the area of the 
trapezoid 1ED3. The number thus produced is 7858.1020, 
which is to be placed for the first number in the column of 
south areas. 

The fiflh course being due south, it is evident the sum of 
the eastings will remain the same as at the end of the fourth 
course ; that is, the line 4F equals the line IE, which is 84.- 
72. These added make 169.44, the fifth number in the sec- 
ond departure column. This, being multiplied by 54.10, the 
length of the line EF, which is the southing of the fifth course 
as corrected in balancing, and the same as the line 1 4 
will give double the area of the parallelogram 1EF4, which 
is 9166.7040, the second number in tlie column of south areas. 

From the line AF 84.72 subtract 39.95, which is a we^t 
course, and it leaves 4G 44.77, the sum of the eastings, or the 
meridian distance, at the end of the sixth course, and the sixth 
number in the first departure column. From this subtract 
23.75 the westing made by tl\e seventh course, and you have 
21.02, the length of the line 5H, which is the meridian dis- 
tance at the end of the seventh course, and the seventh num- 
ber in the first departure column. The line 4G 44.77 added 
to the line 5H 21.02 make 65.79, the seventh number in the 
second departure column. This being multiplied by 32.21, 
the length of the line 4 5 which is the southing of the seventh 
course, will give double the area of the trapezoid 4GH5, 
which is 21 19.0959, the third number in the column of south 
areas. 

The line FI5, 21.02, is the westing of the last course, and 
the last number in the second departure column. This being 
multiplied by 26.65, length of the line 5A, and the northing 
of the last course, produces 560.1830, which is double the 
area of the triangle A5H, and the last number in the column 
of north areas. 

Note. It will be observed that against the third and sixth courses 
there are no areas ; the reason is that these coursos being one east 
and the other west, there is no northing or southing to be multi- 
G 



68 SURVEYING. 

plied into them : regard can therefore be had to ihem only in form- 
ing the departure columns. 

By inspecticg the figure, and attending to the preceding 
illustrations, it will be seen that the three north areas repre- 
sent double the area of the triangle A2B, the trapezoid 2BC3, 
and the triangle A5H, all of which are without the boundary 
lines of the field: also, that the three south areas represent 
double the area of the trapezoid 3DEI, the parallelogram 
tEF4, and the trapezoid 4GH5 ; and that these include not 
only the field but also what was included in the north areas. 
Therefore the north areas subtracted from the south, the re- 
mainder will be double the area of the field, contained \\ithin 
the black Hnes. 



Additional dlrectio>'s and explanations. 

The northings and southings may be added and subtracted 
instead of the eastings and westings ; then there will be two 
latitude columns instead of departure columns, and the num- 
bers in the second latitude column must be multiplied into 
the eastings and westings, and you will have east and west 
areas. 

When the course is directly north or south, the distance 
must be set in the north or south column ; when east or west, 
in the east or west column. There w\\\ therefore sometimes 
be no number to be added to or subtracted from the number 
last set in the latitude or departure column ; then the number 
Icist placed in the column must be brought down and set 
against such course ; as in exa^iple I. at the 5th course. 
It may also sometimes be the case, that there will be no 
number to multiply into the number in the second latitude or 
departure column ; then that number must be omitted, and 
ao-ainst such course there will be no area, as in example 1. 
at the 3d and 6th courses. 

When the northings or southings, eastings or westings, be- 
ginning at the top, will not admit of a continual addition of the 
one and subtraction of the other, without running out before 
you get through the several courses, you may begin at such 
a course in the field book as will admit of a continual addition 
and subtraction ; and when you get to the bottom go to the 
top, and you will end in cipher at the course next above that 



SURVEYING. 



69 



where you began : as in example II. which begins at the 
9th course to add the eastings and subtract the westings.* 



Example II. 



No. 


c— . ^ 


N. 
14.2 


S. 


E. 


W. 


I'dep. 
Gol. 


2dep. 
Col. 


North 
areas. 


South 
areas. 


1. 


N.75oO'E.I 54.8 




52.9 




144.1 


235.3 


3341.26 




2 


N.'20 30E.! 41.2 


38.6 




14.4 


. . 


158.5 


302.6 


11680.36 


. . • 


3. 


East 64.8 


. . 




64.8 


. . 


223.3 


381.8 


. . . 




4. 


S. 33 30W., 141.2 




117.7 




77.9 


145.4 


368.7 


. . . 


43395.99 


5. 


S. 76 W. 64 




15.5 




62.1 


83.3 


228.7 




3544.85 


6. 


North 36 


36 








83.3 


166.6 


5997.60 




7. 


S. 84 W.: 46.4 




49 




46.1 


37.2 


120.5 




590.45 


8. 


N. 53 15 W 46.4 


27.8 






37.2 


O.Q 


37.2 


1034.16 




9. 


N.36 45E. 76.8 


61.5 




46 




46 


46 


2829 




10. 


N. 22 30E.1 56 


51.7 




21.4 


. . 


67.4 


113.4 


5862.78 




11. 


S.76 45E.i 48 




11 


46.7 


. . 


114.1 


181.5 


. . . 


1996.50 


12. 


S. 15 W.| 43.4 




41.9 




11.2 


102.9 


217 




9092.30 


13. 


S. 16 45W.i 40.5 




38.8 




11.7 


91.2 


191.1 




7531.08 



Area 110 Acres, 2 Roods, 23 Rods. 

Note. In the above example you might begin at the 4th course to add 
the westings and subtract the eastings ; or at the 6th course to add the 
northings and subtract the southings : or at the 1 1th course to add the 
southings and subtract the northings. So in every survey, some place may 
be found where you may begin to add and subtract, without running out 
before you get through all the courses.* 

When a field is very irregularly shaped, it will often happen 
that parts of the same area will be contained in several different 
products in the columns of areas i but in the final result, one 
column being subtracted from the other will leave what is in- 
cluded within the boundary lines of the field. 



* Much the most convenient method is to place the course at which you be- 
gin to add and subtract as the head of the field book. The surveyor may 
easily do this, by observing in the field, which angle of the field is furthest 
east or west, north or south. — Ed. 



70 



SURVEYING. 



Demonstration. 

See Fig. 63, and Ex- 

AMPLB II. 




The area standing against the 9th course,* which is where 
the calculation begins, is the triangle 12K, all without the 
field. 

The area against the 10th course is the trapezoid 2KL3, 
also without the field. 

The area against the 11th course is the trapezoid 4ML3. 
This is a south area, and contains a part of the field and also 
part of the preceding north area. 

The area against the 12th course is the trapezoid 5NM4, 
part within and part without the field. 

The area against the 13th course is the trapezoid 6AN5, 
part within and part without the field. 

The area against the 1st course is the trapezoid 6AB7, 
part within and part without the field. This is a north area, 
and to be ultimately subtracted from the souih areas ; but this 
includes a part of the preceding south areas, viz. the space 
nAso ; it will, however, be seen hereafter that this same 
space is included in another south area. This north area 
contains also a part of the first north area, viz. the space 
6no7 ; but the same space is also included in another south area. 

The area against the 2d course is also a north area, and is 
the trapezoid 7BC8. This trapezoid contains the space 
sBCx, without the field ; the space osxw, within the field ; 
and the space 7ow8, without the field. But the space osxw 
will be contained in the next south area ; and the space 7ow8 
which was contained in the two first north areas, will be con- 
tained in the next south area. 

By examining the whole fgure in this manner, it will be 

* The numbering here, corresponds not to the diagram, but to the 
FIELD-BOOK on the last page. After the 8th course, hkewise, in the en- 
graving, the numbers are incorrect, the true 9th course, DE, being left 
without a number, and the others numbering 9, 10, &;c. when they should 
be 10, 11, fee.— Ed. 



SURVEYING. 71 

seen that the north areas contain all without the field that is 
taken into the calculation, and some of it twice over ; they 
also contain part of the area within the field. The south 
areas contain all within the field, and all without the field that is 
contained in tiie north areas. They also contain, twice over, 
so much of the field as is included in any of the north areas ; 
and likewise, twice over, that part without the field which is 
contained twice in the north areas. So that subtracting the 
north from the south areas leaves double the area of the field. 
This method of calculating the area of a field by the north- 
ings, southings, eastings, and westings, divides the field, with 
a certain quantity of the adjoining ground, into right angled 
triangles, right angled trapezoids, parallelograms or squares, 
as may be seen by the figures. It may therefore with pro. 
priety be called kectangular surveying.* 



A useful Problem. 

To FIND THE true AREA OF A FIELD WHICH HAS BEEN 
MEASURED BY A CHAIN TOO LONG OR TOO SHORT. 

Calculate the area as if the chain was of a true length, then 
institute the following proportion : 

As the square of the length of the true chain ; 
Is to the area, as found by the chain made use of; 
So is the square of the length of that chain ; 
To the true area of the field. 

Example. 

Suppose a field, measured by a two rod chain 3 inches too 
long, is found to contain 41 acres 1 rood and 33 rods, what is 
the true area. 

As the square of 33 feet, the true length of a two rod chain ; 
is to 41 acres 1 rood and 33 rods ; so is the square of 33 feet 
3 inches, the length of the chain used in the survey ; to 42 
acres and 13 rods. 33 feet=396 inches. 396 X 396=156816 
square inches. 

41 acres 1 rood 33 rods=6633 rods. 

33 feet 3 inches=399 inches. 399 X 399=159201 square 
inches. 

159201x6633-^156316=6733 rods. 

6733—160=42 acres 13 rods, the true area. 

• See Appendix, No. 6. 

G2 



72 SURVEYING. 

PART II. 

Laying out land. 
PROBLEM L To lay out any number of acres in 

THE FORM OF A SQUARE. 

Annex 5 ciphers to the number of acres, which will turn 
them into square links, the square root of which will be the 
side of the square in links. 

Example L It is required to lay out 810 acres in the form 
of a square. 

Answer. Each side of the square must be 9000 links, or 
90 chains. 

PROBLEM II. To lay out any number of acres in the 

FORM of a parallelogram WHEREOF ONE SIDE IS GIVEN. 

Divide the number of acres when turned into square links, 
by the given side ; the quotient will be the side required. 

Example. What must be the longest side of a rectangle, 
which is to contain 25 acres, when the shortest side is 5 chains 
and 50 links ? 

Answer. 2500000-5-550=4545 links for the longest side. 

PROBLEM III. To lay out any number of acres in a 

FIELD, 3, 4, 5, 6, &C. TIMES AS LONG AS IT IS BROAD. 

Divide the acres, when turned into square links, by the ratio 
between the length and breadth ; the square root of the quo- 
tient will be the shortest side. 

Example. It is required to lay out 100 acres 5 times as 
long as it is broad. 

Answer. 10000000-^-5=2000000 the square root of which 
is 1414 links for the shortest side, and the longest will be 7070 
links. 

PROBLEM IV. To make a triangle which shall con- 
tain A given number of acres, being confined to a cer- 
tain base. 

Double the given number of acres, to which, annex 5 ci- 
phers, and divide by the base ; the quotient will be the per- 
pendicular height in links. 

Example. Upon a base of 40 chains to lay out 100 acres 
in a triangular form. 

Answer. 5000 links or 50 chains will be the length of the 
perpendicular. 



SURVEYING. 



73 



The perpendicular may be erected 
from any part of the base : thus, the 
triangle ABC, see Fig. 64, is the same 
as ABE, each containing 100 acres. 



Fig. 64. 




Fig. 65. 



When the given base is so situ- 
ated that a perpendicular of suffi- 
cient length cannot be erected 
therefrom, continue the base as 
from B to D,/^. 65, from which 
erect the perpendicular DC, and 
complete the triangle ABC, which 
will contain 100 acres. 




PART III. 

Dividing land. 

As different fields are so variously, and many of them ir- 
regularly shaped, and as they are required to be divided in 
many different proportions, it is difficult to give rules which 
will apply to particular cases. The business of dividing land 
must therefore be left, in a great measure, to the skill and 
judgment of the surveyor ; who, if he is well acquainted with 
trigonometry, and with measuring land, will not find it diffi- 
cult, after a little practice, to divide a field in such a manner 
as shall be desired. If he has before him a plot of the field, 
and knows the number of parts into which it is to be divided, 
and the proportion which each part is to bear to the others, 
he will readily find out where the dividing lines are to be 
drawn. 

A few RULES and examples will be given for the general 
instruction of the learner. 



PROBLEM I. To out off any number of acres from 

A gQUARK OR RECTANGLE. 



T4 SURVEYING. 

Say. as the whole number of acres in the field ; is to the 
length ot'the square or length or breadth of the rectangle: so 
is the number of acres proposed to be cut off; to their propor- 
tion of the len2:h or breadth. 



PROBLEM II. To cut off any ^-o^BER of acres by a 

LIXE FROH AXY AXGLE OF A TRIA>'GLE. 

Measure the base, or side opposite the angle from which 
the dividing line is to be drawn : then sav, as the number of 
acres in the whole triangle : is to the whole base : so is the 
given number of acres : to their part of the base. 

Fig, 66. 



Example. See Fis. 66. 



In the triangle ABC. which contains 4S acres., it is required 
to cut off 15 acres, by a Hne proceeding from C to the base 
AB. which is 40 chains. 

As 4S ; 40 : : 19 : 15 

Lay 15 chains on the base from B to D, and draw the line 
CD. The triangle will then be divided as was proposed : 
BCD containing IS acres, 

PRC>BLEM III. To take off any given nxmber of 

acres from a MnrLTAN-GULAR FIELD. 

Fis. 67. 
D 





Example i. See Fis- 



Let ABCD, Ace. be the plot of a field containing 11 acres, 
from which it is required to cut off 5 acres. 

Join two opposite corners of the field as D and G, with the 
hne DG ^ which you may judge to be near the partition line) 
and lind the area of the part DEFG, which, suppose, may 
want 140 rods of the quantity proposed to be cut off. Mea- 



SURVEYING. 



75 



sure the line DG, which, suppose to be 70 rods ; divide 140 
by 35 the half of DG, and the quotient 4 will be the length of 
the perpendicular of a triangle, whose base is 70 and the area 
140. Lay off 4 rods from G to I, and draw the line DI, which 
will be the dividing line.* 



Example 11. See Fig. 68. 



Let ABCD, &c. be a tract of 
land to be divided into two equal 
parts, by a line from I to the oppo- 
site side CD ; to find arithmeticaliyA 
on what part of the line CD the di- 
viding Hne IN will fall ; or to find 
the distance CN. 



Fig. 68. 




FIELD BOOK. 











Rods. 


Rods 


AB. 


N. 


19° 


0' 


E. 108 


FG. West 70.9 


BC. 


S. 


77 





E. 91 


GH. N. 360 0' W. 47 


CD. 


S. 


27 





E. 115 


HI. North 64.3 


DE. 


S. 


52 





W. 58 


lA. N. 62 15 W. 59 


EF. 


s. 


15 


30 


E. 76 


Acres Rood Rods 
Whole area 152—1 — 25 



Find the area of the part lABC, according to section 111. 
Jjage 57, as follows : set the latitude and departure of the three 
first sides, lA, AB, and BC, in their proper columns, in a tra- 
verse table ; and place as much southing, viz. 109.1, equal to 
the line CK, and as much westing, viz. 71.7, equal to the line 
Kl, as will balance the columns. This southing and westing 
will be the latitude and departure made by the line CI. The 
area of lABC will be found to be 8722 rods, which is less than 
half the area of the whole field by 3470 rods, the quantity to 
be contained in the triangle ICN. 



* This explanation supposes DG and AG at right angles to each other. 
When they are not at right angles, the height GI must not be meastired on the 
side ofthe field. —Ed. 



76 SURVEYING. 

Find the bearing and distance of CI by bight angled tbi- 
Gor^oMETRY, CA5E IV. as tollows :* 

JLi CK, tiie somhins of CI, 109, nearlv • 2.037426 

: radios - t . . . ' . . 10,000000 

: : KI, die westing of CI, 71.7 - 1.855519 



11.855519 
2.037426 



S. 33020 W. . . . 9.818093 



A^ sine coarse 33o 20^ 9.739975 

: depamire KI 71.7 1.855519 

: : radios 10.000000 



11.855519 
9.739975 



Distance IC 130.5 2 115544 



Note. In this way the coojse and distance may be found firom any angle 
of a field to another. 

Haying found the line Cl, divide 3470, the number of rods 
to be contained in the triangle ICN, by one half the line CI, 
viz. 65.25 : the quotient will be the leneth of the perpendicu- 
lar PX, viz. 53.18. 

Now, by the bearings of CI and CD, it appears that they 
form an angle of 60- 20' : wherefore, in the triangle CPN are 
given the side FN 53.15. and the angle at C 60^ 20', to find 
the hypothenuse CN. 

As sine PCX 60^ 20' . - 9.938980 
: side PX 53.18 - - . 1.725748 

: : radius - - - - 10.000000 



11.725748 
9.938980 



: hyp. CX 61. -2 . - - 1.786768 

Thus the dividing line must go from I to a point on the line 
CD, which is 61.2 rods fromC. The bearing and distance of 
this line may be found by the directions given above for find- 
ing the bearing and distance of the line CI. Or, they may be 
found by oblique trigonometry, case III. 

* The mode gnren above is BDodonbtedly the moat correct, bat the use of the 
tntcne taUe will aTe many fisures. From tfaattabte the course and distance 
of CI, May be fimad al agh't — Ec. 



SURVEYING. 77 



Another method of finding the distance CN. 

Having ascertained the latitude and departure of the line 
CI, set them down in a traverse table ; find the latitude and 
departure of the line CD, and place them in the table ; the 
difference between the northing of the line IC, and the southing 
of the line CD will be the southing of the line DI, viz. 6.6 ; 
and the sum of the eastings of those lines, as they are both 
easterly, will be the westing of the line DI, viz. 123.9. Pro- 
ceed to calculate the area of the triangle ICD, which will be 
found to be 6522 rods, nearly. 

Note . As in this triangle two sides and their contained angle are given, the 
area may be found by prob. IX. rule A, page 40. 

Having found the area of this triangle, proceed to find CN 
according to prob. II. page 74, as follows : 

A.S the area of the triangle ; is to CD the base ; so is the 
quantity to be contained in the triangle ICN ; to CN its pro- 
portion of the base. 

As 6522 : 115 ; : 3470 : 61.19. 



A THIRD METHOD OF FINDING THE DISTANCE CN. 

To the logarithm of double the area to be contained within 
the triangle ICN add radius ; from this sum subtract the loga- 
rithmic sine of the angle at C ; and from the remainder sub- 
tract the logarithm of the side IC ; the last remainder will be 
the logarithm of the side CN. 

The double area of the triangle ICN is 6940 ; the angle at 
Cis60^ 20'; the side IC is 130. 

Double area 6940 - - - 3.841359 
Pwadius 10.000000 



13.841359 

Sine ICN 60° 20' . - . 9.938980 



3.902379 
Side IC 130.5 - - - 2.115544* 



Side CN 61.21 . - - 1.786835 



* The log. of IC, as found by calculation on page 76, is employed, 
instead of taking from the tables, that of 130.5, which is not the exact 
length of IC— Ed. 



78 SURVEYING. 

Note. Radius mav be added by placing a unit before the index of 
ihe logarithm for the double area, without the trouble of setting 
down the ciphers. 



By natural sixes. 

Divide the double area by the natural sine of the given an. 
gle. and that quotient by the given side ; the last quotient will 
be the side CX. 

Nat. sine of the ande at C 60= 20' 0.86S92 

6940-^0.S6S9-2=:7936.92 

79S6.92-:-130.5=61.2 



From the above the following general rule may be drawn. 

To FI>D THE SIDE OF A TEIAN'GLE WHEX THE AREA IS GIVEN. 
AND ALSO ONE OF THE SIDES, AND THE ANGLE CONTAINED BE- 
TWEEN THE GIVEN SIDE AND THE SIDE REQUIRED. 

To THE LOGARITHM OF DOUBLE THE AREA ADD RADIUS : 
from: this SU3I subtract the LOGARITHMIC SIN~E OF THE, 

given angle, and fr03i the remainder subtract the log- 
akithm of the given side ; the last remainder will be 
the logarithm of the side required. 

Or. By natural sines : divide the double area by the 

NAT. sine of the given ANGLE, AND THAT QUOTIENT BY THE 
GIVEN SIDE : THE LAST QUOTIENT WILL BE THE SIDE REQUIRED. 



COXCLUDING REMARKS. 

Other methods of surveying fields are taught by some 
authors on this subject. The preceding, however, will be 
found most useful in actual practice. Other instruments be- 
sides those mentioned in this book are sometimes used ; 
such as the plain table, semicircle, peramubulator, theodo- 
lite, <kc. But of these instruments very little use is made in 
New England ; and they are not often to be met with. For 
general practice none will be found more useful than a com- 
mon chain, and a compass upon Rittenhouse's construction. 
A surveyor should also provide himself with an offset staff, tea 



SURVEYING. 79 

links in length, and accurately divided into links. This should 
be made of firm hard wood, and will be found very convenient 
in taking offsetts, and also in measuring the chain ; which 
should be often done, as from a variety of causes a chain is 
liable to become inaccurate. 

It will be observed that in this work there are no descrip- 
tions of mathematical and surveying instruments. The com- 
piler omitted such descriptions, from a belief that nothing 
which can be written on the subject will enable a person to 
understand them without an actual inspection of the instru- 
ments themselves, and some instruction from those acquainted 
with them. 

The general principles here taught may be applied to the 
surveying of townships, roads, rivers, harbors, &c. 



H 



APPENDIX. 



Op the declination and variation op the magnetic? 
needle, and of the attractions to which it is subject, 

The declination of this needle is the number of degrees it 
deviates from the true north, either east or west. This differs 
in different places, and in the same place at different times. 
[At Hartford, Conn, the declination was, in 1829, 6° 3' west 
of the true meridian of the earth ; and was increasing by an 
annual variation of about 3'.] 

The following method of ascertaining the variation, by the 
north star, has been adopted by many surveyors, as the most 
eligible to be practised on land. Jt was communicated to the 
compiler by Moses Warren, Esq., of Lyme, an experienced 
surveyor, with permission to publish it. 

The star commonly called the north star, is not directly 
north, but revolves round the pole in a small circle, once in 
24 hours.* It can therefore be due north only twice in that 
period ; and that is within a very few minutes of the time, 
when a star, called Alioth, in the constellation of Ursa major, 
or the great bear, is directly over or under it. There is also 
another star nearly in an opposite direction from the pole, 
called Gamma, in the constellation of Cassiopeia. When these 
three stars are vertical, the north star is very near the meridian ; 
and when they are horizontal, it is at its greatest elongation, 
that is, at its greatest distance east or west of the pole, and on 
the same side as the star in Cassiopeia. The variation may be 
calculated when the star is on the meridian, or when at its 
greatest elongation ; more accurately, however, at the latter 
period, because its motion being then nearly vertical for some 

*More exactly, 23 hours, 56 minutes and 4 seconds. — Ed. 



APPENDIX. 



81 



time, gives the observer opportunity to complete his obser- 
vation, f 

To find the elongation of this star in any latitude, its declina- 
tion must be known ; that is, its distance north of the equator. 
This being found, institute the following proportion : 

As co-sine of the latitude ; is to radius ; so is co-sine of the 
declination ; to sine of the elongation.* 

The declination of the north star, January 1, 1810, was 
88*^ 17' 28", and increasing at the rate of about 19 seconds 
hnd one half annually. 

In the following table, the elongation is calculated for ten 
successive years, ending with 1840, and for seven different 
latitudes. The calculation is made for the first of July, and 
of course gives the mean angle for the year. 

TABLE SHOWING THE ELONGATION OF THE NORTH STAR. 



Years 


32° 


34° 


36° 


38° 


40° 


42° 


44° 


1831 


1° 


52-1' 


1° 55' 


1° 58^' 


2° li' 


2° 


5' 


2° 9' 


2° 13' 


1832jl 


52 


1 54^ 


1 58 


2 1 


2 


41 


2 81 


2 121 


18331 


51i 


1 54 


1 57^ 


2 0^ 


2 


4 


2 8 


2 121 


183411 


51 


1 53^ 


1 57 


1 591 


2 


4 


2 71 


2 12 


18351 


50| 


1 53 


1 561- 


1 59 


2 


3 


2 61 


2 11 


1836|l 


50 


1 52i 


1 56 


1 58i 


2 


H 


2 6 


2 101 


18371 


50^ 


1 52i 


1 55i 


1 58^ 


2 


2 


2 51 


2 10 


1838 1 


50 


1 52i 


1 55 


1 58 


2 


u 


2 5 


2 91 


1839 1 


49i 


1 52 


1 54^ 


1 571 


2 


l' 


2 41 


2 9' 


1840 1 


49 


1 51i 


1 54 


1 571 


2 


0^ 


2 4 


2 81 



* This angle is usually caWedaz'nnuih. — Ed. 

tThe following figure exhibits a view of the relative situation of these 
etars, as they appear, when in a horizontal position ; or when the north 
£tar is in its greatest eastern elongation. 

The Great Bear. Cassiopeia. 



^ Alioth 



N.Star 



* 



Gamma ^ 



82 APPENDIX. 

The elongation for the latitude of the observation beins 
calculated, or taken from the above table, proceed to find its 
range, according to the tbliowing directions ; 

Take a pole IS or 20 feet in length ; to the end of it fasten 
a small line ; raise it to an elevation of 45= or 50* ; and sup. 
port it by two crotches of suitable height to keep it firm in its 
place. At the end of the line near the ground, fasten a weight 
of half a pound or more, which should swim in water to prevent 
the air from moving the hne. Southward of the line fix a 
compass sight, or other piece of metal or wood, with a narrow, 
perpendicular aperture at a convenient height from the ground, 
say about 2 or 2 1-2 feet ; and let it be so fixed that it can be 
moved a small distance east or west at pleasure. Let an 
assistant hold a light either NE. or NW. of the line, nearly 
as high as the range from the siofht to the north star, in such a 
position that the line may be plainly seen ; then, (the three 
stars above mentioned being parallel or nearly so with the 
horizon.) move the sight-vane east or west, imtil through the 
aperture, the line is seen to cut the star ; and continue to ob- 
serve, at short intervab, till the star is seen at its greatest 
elongation. Let a lighted candle be placed in an exact range 
with the sight-vane and line at the distance of 20 rods or more, 
which should stand perpendicularly, be made fast, extinguish- 
ed, and left till morning. Then the sigbt-yane, the line, and 
the candle, will be the range of elongation, which observe 
accurately with a compass : and if the elongation be east and 
the variation west, the former must be subtracted from the 
latter ; and if they are both west they must be added, and 
their difference or sum will be the true variation.^ 



Of the attPw ACTIO" of the needle. 

It is well known that any iron substance has an intiuence 
upon the magnetic needle, attracting it one way or the other 
upon the point where it would settle, were there no such 
attraction. A surveyor should therefore be carenil to see that 
no iron is near the compass when taking a bearing. But as 
the earth in certain spota contains, near its surface, iron or 
other minerals, which attract the needle, it will frequently 
happen that it will point wrong. To ascertain whether this 
is the case, the surveyor, at each station, should take a back 

* The author, in common with many writers, employs the term r«ri. 
ation, as synonymous with declination. Variation is properly, however, 
the ehanse of declination. — Ed. 



APPENDIX. 63 

view of the one last left ; and if he finds that the compass 
does not reverse truly, he may be sure, provided the compass 
be accurately graduated and placed horizontally, that he 
either made a mistake at the last station, or that in one or the 
other or both of the stations, the needle was attracted from the 
true point. When he finds a place where he suspects there is 
an attraction, he should go a few rods backward or forward, 
and see whether the needle points differently. In this way he 
may prevent mistakes in his field notes, which would arise 
from putting down a wrong course. To take back sights is 
particularly necessary in running long lines, and laying out 
new lands, where the needle is the only thing to guide the 
surveyor. 

By practice and experience a knowledge will be acquired 
on this subject, and with regard to many other things in sur- 
veying, which cannot be taught by books ; and after all the 
directions which can be written, the practitioner will frequently 
find occasion for the exercise of his own judgment. 



A RULE TO FIND THE DIFFERENCE BETWEEN THE PRESENT 
VARIATION OF THE COMPASS, AND THAT AT A TIME WHEN A 
TRACT WAS FORMERLY SURVEYED, IN ORDER TO TRACE OR RUN 
OUT THE ORIGINAL LINES. 

Go to any part of the premises where^any two adjacent 
corners are known ; and if one can be seen from the other, 
take their bearing ; which compared with that of the same 
line in the former survey, shows the diflference. But if one 
corner cannot be seen from the other, run the line according 
to the given bearing, and observe the nearest distance between 
the line so run, and the corner ; then work by the following 
proportion : 

As THE LENGTH OF THE WHOLE LINE, 
Is to 57.3 DEGREES,* 

so is the said distance, 

to the difference of variation required. 

Example. 

Suppose it be required to run a line, which, some years ago, 
bore N. 45° £., distance 20 chains, and in running this line 
by the given bearing, the corner is found 20 links to the left 
hand ; what is the present bearing of this line ? 

* 57.3 degrees is the radius of a circle (nearly) in such parts that th« 
drcumference contains 360. 

H2 



84 APPExNDIX. 

Ch. Deg, L. 
As 20 : 57.3 : : 20 
100 20 



2000 1146.0 
60 



2000)68760)34 Minutes. 
Ansiuer — 34 minutes to the left hand is the allowance re- 
quired, and the hne in question bears N. 44° 26' E. 



The compiler of this work acknowledges himself under 
obligations to George Gillet, Esq., Surveyor General of the 
state of Connecticut, for the following illustrations, remarks, 
and miscellaneous questions, considering them calculated to be 
useful to the learner, and the practical surveyor. 



PRACTICAL SURVEYIIVG. 

NO. I. 

Explanation of the compass, with directions 
HOW to use it, and how to prove the accuracy 

OF IT. 

In surveying, each angular point is considered the centre of 
a circle divided into 360 equal parts called degrees. 

The circle is also divided into four equal parts, called quad- 
rants, by north and south, and east and west lines crossing each 
other at right angles on the centre. Each quadrant is divided 
into nine equal divisions, and each division contains ten degrees. 

The following figure represents the card, or the graduation 
of the compass. 




85 



At the centre is the pivot or centre-pin on which the needle 
turns. The compass is fixed on the head of a staff, and it 
may be directed to any object on any course whatever, while 
the needle retains its polarity. Courses are counted either 
east or west from their respective meridians. To be more ex- 
plicit, the angle which a course makes with its meridian, is 
written north or south, so many degrees east or west. 

Fix the above circle to the four cardinal points, and suppose 
your course runs from the centre through the point 40 to the 
right of N. ; the direction of it is N. 40^ E., or in the opposite 
direction S. 40° W. To take this course, turn the north end 
of the compass to the object at the terminating point of the 
Hne. This will turn the point 40 at the left of N. directly 
against the north end of the needle, then count the degrees 
from N. to the north end. 

Suppose your course runs from the centre through the point 
80 below W., the direction of it is S. 80° W., or in the oppo. 
site direction N. 80° E. To take this course, turn the south 
end of the compass to the object, and the point 80 above W., 
will be at the north end of the needle, and that at 80 below E. 
at the south end of it. In like manner, take all other courses. 

In some compasses which are sufficiently correct for field 
surveying, when one end of the needle settles at any degree, 



86 APPENDIX. 

the other end will not settle exactly against the same degree 
on the opposite side. Even compasses of the first rate, when 
they are not well levelled, are liable to this error. Therefore, 
all courses should be taken from the same end of the needle, 
which may be the north end. For example, suppose your 
course is southeasterly or southwesterly, direct the compass to 
the object, and whatever degree the north end of the needle 
settles at, enter it in your field book, even if the south end 
differs a k'w minutes from that degree. Also keep the same 
end of the compass northerly and southerly on courses in that 
direction, and the same end easterly and westerly in the latter 
direction.* 

By following these directions, the survey will be taken more 
correctly, than when the ends of the compass are frequently 
changed, and the northerly courses are taken by the north end 
of the needle, and the southerly courses by the south end of it. 

When a needle is well magnetized, the inside of the cap 
smooth, and the centre-pin nicely pointed, the needle will tra- 
verse lively and long ; but before it stops at the true point, will 
have an almost imperceptible tremulous motion. 

When the needle settles quick, by giving the compass or the 
staff a hght rap, it will commonly move a little, sometimes a 
quarter, a half, or a whole degree. This is certain evidence 
that something is out of order. Either the needle is not well 
magnetized, the inside of the cap is rough, or the centre-pin is 
blunt, which causes friction. The centre-pin ought to be as 
nicely pointed as a fine sewing needle. Whether the compass 
is in order or not, the rap should be given after the needle has 
settled. 

The centre-pin is the part of a compass which fails first. 
The point is easily broken or blunted, and is always in danger. 
When the point is injured, it is not easily renewed so as to be 
equal to its first state. Therefore, too great care cannot be 
taken of a good compass. 

When a new compass is procured, it may be recommended 
to have one or more extra centie-pins with it, that when one 
fails another may be in readiness. 

To prove the accuracy of a compass, set each end of it to 
some distant object at every ten degrees around the circle. If, 
in every instance, each end of the needle settles at the same 
degree on the opposite side, the compass is accurate, and is of 
the first rate ; but if there should be found a difference of five 
minutes on a part or around the whole circle, the compass 
would be considered as one of the second rate, and by following 

*Thi9 practice has been recommended by the most celebrated mathe- 
matical instrument makers. 



APPENDIX. 87 

the foregoing directions, a survey might be taken with it to a 
good degree of accuracy. 

A compass which does not come within one or the other of 
the foregoing descriptions, ought not to be used on valuable 
land. 

When a compass is not in use, it should be placed where it 
can have no motion, and the needle should be left on the centre- 
pin. By keeping its polarity, the magnetic power of the needle 
will strengthen rather than weaken. 

Compasses differ in their directions. Those of the first rate 
have been known to vary within the space of a quarter or a 
third of a degree, when no defect could be discovered in the 
mechanical part of them. As correct a survey may be taken 
with one as with another of this description. The question 
then naturally arises, which of these varying compasses is 
right ? The answer is, all are right ; neither of them points 
directly to the poles of the earth, except on a line of no declina- 
tion. Each compass will find such a line. All that can be 
said of them is, that one makes a greater declination than an- 
other, and that which makes the least, cannot have the prefer- 
ence. It has also been ascertained that different needles do 
not point alike at the same place. French writers on magnet- 
isni have treated on this subject. 

It was well known to the celebrated Rittenhouse that his 
compasses did not agree, and he was never satisfied as to the 
cause of it. To remedy this defect, if it can be called a defect, 
he constructed his compass with a nonius or a vernier scale (as 
some term it), that all of them might be so regulated by a meri- 
dian as to agree. The meridian should be established by the 
motion of the heavenly bodies, and made permanent by durable 
monuments. All courses which are matters of record ought 
to be taken from the true, instead of the magnetic meridian. 
Such meridians should be established at convenient distances 
from each other, so that whenever a survey is to be taken in 
the vicinity of one of them, a surveyor might set his compass 
on it and note the declination found, and that declination, to- 
gether with the meridian from which it was taken, should be 
inserted in the deed, or instrument by which the land is con- 
veyed, and should be a part of the record. This would assist 
a surveyor at any future period in retracing those lines, by 
setting his compass on the same meridian, and allowing the 
difference in declination since the preceding survey. This 
would tend greatly to the security of landed property, and it 
is the only method by which magnetic courses can be regulated. 
Without this regulation, one correct compass may be used to 
as good advantage as another. So Dr. Rittenhouse viewed 



S8 APPENDIX. 

the matter : so the common practice of the country has estab- 
lished it. 



NO. II. 
On the irregularities of the magnetic needle. 

By a statute of this state, applicants for the appointment of 
county surveyor, are required to be well skilled in point of sci- 
ence in the theory of the most approved method of surveying 
lands. It is also as necessary that they should be as well skilled 
in practical surveying. Practical knowledge must be acquired 
by experience, but no one can have a thorough knowledge of 
correct practice without being acquainted with the imperfections 
of the magnetic needle. 

It is supposed by most people, that this instrument, in all 
places, points directly to the poles of the earth, and that its 
direction remains as permanent as the poles themselves ; an 
infallible guide.* This is a mistaken idea. A few remarks on 
this subject will here be offered, and some facts respecting it 
stated. 

* There is one line around the globe on which there is no decUnation. 
The general course of this Hne on this side of the globe is from north- 
west to southeast, but it is crooked and inegular in its course. This 
line is not stationary, but is ever changing its position, and notwithstand- 
ing the great variety of its directions, it never crosses itself. According 
to Dr. Holly's chtirt, made la 1700, this Hne crossed the meridian of 
London in 55° south latitude, crossed the equator in 17° west longitude ; 
from thence by various windings to the island of Bermuda ; from thence 
nearly a west cours^ until it struck the continent near Charleston in 
South Carolina. 

About 1756, another chart was made, when the line had fallen so far 
to the west, that it struck the continent near the coast of Florida. On 
the east side of this line, the magnetic needle points to the west of north, 
and on the west side it points to the east of north, and a regular increase 
of either east or west declination is found from it on its opposite sides. 

The line of no declination now runs through the state of Pennsylva- 
nia, and through the eastern part of Virginia. 

At New Orleans, in 1813, the declination was east about eight de- 
grees. The same year, an article appeared in a Philadelphia paper, 
from which the following was extracted. 

At Philadelphia, " 1701, declination 8° 30' W. ; 1793, 1° 30' W. ; 
1794, the needle was observed to recede to the west; 1804, 2° W. ; 
1813, 2° 27' W." 

According to observations made at Albany by the Surveyor General 
of the State of New York, the needle, for many years past, has declined 
to the west. The observations of Mr. N. Goodwin, of Hartford, (Con.) 
agree with those of the Surveyor General of New York. 

In 1805, the writer commenced a series of observations at Hebron in 
Connecticut, which have been continued to the present year (1832), and 
during that period the needle has declined to the west, a degree or more, 
and the west declination is still increasing. 



APPENDIX. 89 

Notwithstanding the utility of the magnetic needle, it cannot 
be relied on when great accuracy is required, on account of 
the irregularities to which it is subject, viz. its annual and 
diurnal variations, and what is the cause of still greater per- 
plexity, ity local attractions. When an old course is given to 
renew a line, it cannot be depended on, on account of the 
change in declination, between the time of the first running 
and the renewal of it. 

No annual rate can be fixed on as a certain rule for the 
declination of the needle, as its motion is much more rapid in 
some years than in others. By observations made at London 
during a period of more than two hundred years, it appears 
that in some years the motion of the needle was rapid, in others, 
but little could be discovered, and, in some years, the motion 
was retrograde. There is no regularity in its motion at any 
place for any length of lime. 

The diurnal motion of the needle has long been known. As 
the sun rises in the forenoon, it has an effect on the unknown 
something which gives polarity to the needle, and turns the 
north end of it to the west. In the afternoon and night fol- 
lowing, the needle returns to its position. Observations for 
the diurnal motion have been made in abundance, both in 
Europe and America. The result on both continents has been 

While at so many places in the northern states, and at many more 
which might be mentioned, the west declination has increased, at Sa- 
lem in Massachusetts, according to the observations of Dr. Bowditch, it 
has steadily decreased. 

In 1580, at London, the magnetic needle pointed eleven degrees and 
a half to the east of north, which proves that the line of no declination 
was then east of that place. 

The east declination diminished until 1657, when the line of no decli- 
nation arrived there and passed by ; of course west declination com. 
menced, and at the close of the last century, it had increased to twenty- 
four degrees. 

The line of no declination must have made rapid progress through 
the Atlantic and through a great part of the United States, to have 
arrived at Charleston in 1700, and at the coast of Florida in 1756. 

It is unaccountable how the west declination at London should in- 
crease, while at Philadelphia it diminished, when both places were on 
the same side of the line of no declination. 

The mystery is solved with equal difficulty, how the west declination 
at Salem should diminish, while at Philadelphia, Albany, and at Hart- 
ford it increased. The declination of the needle has long been a subject 
of much perplexity. Observations have been made in abundance. 
Many facts have been ascertained-, but they are not reducible to system. 

The polarity of the needle, with its variations and irregularities, is a 
hidden mystery, which is never to be searched out by man. It is suffi- 
cient in itself, without any other evidence, to cause the reflecting mind 
to wonder at, admire and adore the wisdom, knowledge and power of 
Him, who planned and who still directs it. 



90 APPENDIX. 

nearly the same. In summer, about a sixth or a quarter of a 
degree is usually found. In winter, but very little can be dis- 
covered. Perhaps, in a hot climate, the diurnal motion may 
be greater. 

Local attraction is found oftener in hilly, broken lands, filled 
with ledges, than in level, feasible land, where there are no 
ledges. As the sources of attraction are generally unknown 
and are out of sight, their situation should be determined by 
experiment. They sometimes cause the needle to deviate 
more than a degree, and often occasion a more trifling inac- 
curacy. In some instances, differences have been found, of 
more than five degrees within the distance of forty rods. 

Although the magnetic needle is not that infallible guide 
which most people suppose, yet it is a very useful instrument, 
and, in our country, cannot be wholly dispensed with in land 
surveying ; but the surveyor who is best acquainted with it, 
will make as little use of it as he can. 



NO. III. 
On practical surveying. 

Surveying is a branch of business which will admit of dili- 
gence, but it will not bear to be hurried. Sufficient time must 
be allowed to take courses, measure distances, and to make 
calculations correctly, even if the employer does not see the 
necessity of being so particular. 

In taking a survey, go around with the sun, or keep the land 
which you survey on your right hand, not that you can work 
more correctly, or that it will have any effect in plotting or in 
calculating, but when you put your courses and distances on 
your map, they will follow around from the left to the right, 
as you perform any other writing, ai:!d your map will appear 
to better advantage than when you write against courses and 
distances. 

Wherever you begin, set your compass on the first angle, 
and cause a stake or a flag-staff to be erected at the next. 

If the first bound is a rock, erect a stake on it, and set your 
compass any where between the two stakes, or you may go 
back of the first angle and take the range of the stakes. 

When the boundary line is not straight, place the flag at the 
first angle, and go forward to a convenient place for the next, 
and take your course by a back sight. 

When a line is of such a length that you cannot see the end, 
and do not know the exact direction of it, leave a flag at the 
beginning, and go forward as far as you can have a fair view 



APPENDIX. 91 

of it, and set your compass to the flag. Pursue that course to 
the end, and if you shall strike the bound, you need not boast 
of superior skill, for it was by chance or accident. A line ran 
in this manner, is commonly termed a random line. 

When the course of a random line is not in a direction to 
the bound, continue it to a point from which, by turning at a 
right angle you will strike the bound, then measure the dis- 
tance from the end of the random line to the bound, and this 
distance and the length of the random line will be the legs of 
a right angled triangle, the hypothenuse of which will be the 
true distance, and the bearing of the hypothenuse, the true 
course. 

When the course of a random line is northwesterly or south- 
easterly, and it strikes to the right of the bound, the angle 
formed by the true and the random line must be added to the 
course of the latter, but if to the left, it must be subtracted. 

When the random course is northeasterly or southwesterly, 
and it strikes to the right of the bound, the angle must be sub- 
tracted, but if to the left, it must be added. 

W^hen a line crosses a hill, cause a stake or flag to be erected 
at each end of it, and set your compass on the top of the hill, 
directly between them. If bushes or a hedge obstruct the 
sight on the line, make an offset at each end, or take the course 
by a random line. 

When a distant tree near the line can be seen at the begin- 
ning of it, the bearing of the tree may be taken, and the dis- 
tance measured, and from the tree to the bound, and the bear- 
ing of the bound from the tree may be taken by a back-sight, 
and the course and distance may be calculated by a traverse. 

Example. 

Suppose from the beginning of a line, a tree bears N. 5° W. 
and the distance is 50 rods ; from the tree to the end of the hnc, 
is N. 5° E., 50 rods, the course of the hne is north, and the 
distance is 99 rods and 15^ links. 

When a line crosses water which cannot be measured with 
a chain, cause a stake to be erected on the opposite side, direct- 
ly in the line. Then turn from the line at right angles, and 
measure until the course on which you ran from the line and 
the bearing of the stake, form an angle of 45^, then the distance 
from the angle to the point of turning ofi', and from that to the 
stake will be precisely the same, which may be added to the 
distance already found. 

If it is not convenient to measure so far as to form an angle 
of 45°, stop at any proper distance and take the bearing of 
the stake, and having ciscertained the angle, calculate the dis- 

I 



92 APPENDIX. 

tance across the water by the following proportion. As the 
sine of the angle at the stake : is to its opposite side : : so is 
the co-sine of that angle : to the side required. 

ExAMPLrE. 

Suppose the bearing of the stake is N. 84° W., you may 
turn to the right or to the left, if to the former, your course 
will be N. 6° E., and if you measure 16 rods and then take 
the bearing of the stake, which may be S. 74° W., the angle 
at the stake will contain 22°. State the question as follows : 
16 rods - - - 1.204120 
Co-sine of 22° - - 9.967166 



11.171286 
Sine of 22° - . 9.573575 



Distance across the water 1.597711 39.6 rods. 

If it is not convenient to turn from the line at right angles, 
turn at an acute or an obtuse angle, measure a suitable dis- 
tance, take the bearing of the stake, and calculate the distance 
by oblique trigonometry. 

Example. 

Suppose, on the same line you turn and run N. 27° W. 15 
rods and 3 links, the stake on the opposite shore will bear S. 
74° W. The angle at the stake will contain 22^, that at the 
point of turning from the line, 57°, of course the other angle 
will contain 101°. In this case, all the angles and the side 
opposite to that at the stake, are given. The distance across 
the water may be calculated by the first case of oblique tri- 
gonometry. 

When a line crosses a ledge too high and too steep to be 
measured with a chain, whether the ascent or descent is before 
you, erect a flag at the top of it, take a station at the bottom, 
and ascertain the distance by the method of ascertaining it 
across water, which will give the base of the hill from your 
station to a point directly under the flag. 

In taking courses, on account of local attractions, the com- 
pass should be set at least twice on each line, even if you have 
a fair view of the whole length of it. Should there be a dif- 
ference in the traverse of the compass at the two places, a 
third should be selected. Should the compass traverse alike 
at two places, the surveyor may conclude that he has 
found the true course, but when no two places are found where 
the compass has the same traverse, the surveyor should enter 



APPENDIX. 93 

a medium course in his field book, noting such courses, as he 
may still have occasion to correct them in his calculation. 

If in such cases, he is at a loss what course to enter in his 
field book, and suspects that some minirtes may be added to, or 
subtracted from the course which he enters, he should prefix to 
such courses the sign of addition or subtraction, as the case 
may be, which will often assist him in balancing his surveys. 
It would be no easy matter to describe all the different methods 
which may be selected in different cases, in taking the field 
work of surveys. An example of only one case will be given 
here, which is represented by the following figure. 

The survey was be- ± TTl ^ 

gun at the corner num- 
bered 1. The corner 
numbered 2, was in a 
pond. The course and 
distance were taken 
from 1 to m ; then from 
m to n. The angle at 
*2 was a right angle ; of 
course there was a right / 
angled triangle, where- '^\'~ 
in the angles and hy- \ 
pothenuse were given 
to find the sides ml and ^ ''^^r:^ ^^^'' 

*2«. From n to 3, the ^*^-^ -'"' 

course and distance 

were taken on the line. The next line ran through a thicket 
in a swamp. Courses and distances were taken from 3 to 5, 
thence to z, thence to 4, and the course and distance of the line 
3 — 4 were calculated by a traverse from those courses and 
distances. At the angle 5, a tree stood on a high clump of 
rocks, inaccessible on either line terminating at that point. 
The course from 4 to 5 was taken at 4. Next, the course 
and distance were taken from 4 to a, and from a, the course 
was taken to 5. Next the course and distance were taken 
trom a to 6, and from 6 the course was taken to 5. Two ob- 
lique triangles, with the angles and one side in each, were 
given, to find the sides 4 — 5 and 5 — 6, which give the base of 
the hill. 

The closing line ran through thick bushes and water, and 
the course and distance were taken on the dotted line to the 
line 1 — 2, at a point twenty rods from 1. The course and 
distance of 6 — 1, were calculated accordingly. 

Whenever a line runs through or over a place where it is 
"difficult to take either course or distance correctly, if, by taking 



94 APPENDIX. 

a traverse around, at a little distance from the line, the sur- 
veyor can have level, cleared land, and then calculate the true 
course and distance trom the courses and distances of the tra- 
verse lines, he will be more likely to ascertain the correct 
course and distance than he would by attempting to run on the 
line. By practice and experience, a method for taking courses 
and distances, in all cases, will become familiar. 

In a hilly country, the two-pole chain is preferable, and is 
more commonly used, because it can be better levelled. 

in measuring hills and inclined surfaces, the horizontal dis- 
tance must be taken. A plummet should be suspended from 
the end of a chain when it is levelled. 

When hills are very steep, the surveyor should assist the 
chainmen, and when the best is done in levelling and plumbing 
the chain, judgment must frequently be called into exercise. 

Even when elevations and descents are easy, there is danger 
of making too much measure. In such cases, chainmen often 
make allowances, but the surveyor will do better to keep them 
to close measure, and from the shape of the ground, judge 
what allowances ought to be made. An experienced, judicious 
surveyor, will form a more correct judgment in such cases 
than inexperienced men. 

If a surveyor is acquainted with the rise or descent of hills, 
the traverse table will aid him. For example, from the sur- 
face of a hill which rises on an angle of five degrees, one link 
for ever\- ten rods may be deducted. 

Particular care must be taken to have the chain carried on 
a straight hne. When a tally is ended, and the hinder chain. 
man carries forward the sticks, they must be counted. When 
on counting the sticks it is discovered that one is lost, the 
chainmen should not leave the chain and go back to find it, 
but, from the last mark, should measure back to the point 
where the tally began, to see whether the full tally was mea- 
sured, or whether one chain was lost from it. Many blunders 
have been let't undetected by not taking this care. A careful 
accurate chainman never loses a stick or miscounts a tally. 

Distances may be taken by chains and links, or by rods and 
decimal parts, as best suits the surveyor. When a survey is 
calculated by chains and links, the numbers by which the pro- 
cess is pertbrmed, are smaller than when it it is calculated by 
rods and decimal parts. Every method by which the numbers 
are diminished, is an improvement. 

Young surveyors should practise much for their own instruc- 
tion, and should make correct practice tamiliar, betbre they 
offer their services. 

A young surveyor should bear in mind that if he is detected 
in one error in the beginning of his practice, it will be more to 



APPENDIX. 95 

his disadvantage than to be detected in two, when he shall be- 
come well established. If an error is committed in a survey, 
it is not against the surveyor, provided he detects and corrects 
it, but if he cannot do this, it is sufficient evidence of his defi- 
ciency in point of knowledge and skill. 



NO. IV. 
Directions for running and establishing lines. 

Many people suppose that a surveyor at the beginning of a 
line, by intuition or by some magic art, can set his compass 
directly to the terminating point, whatever obstructions may 
intervene, and that' he needs no assistance ; but this is a mis- 
taken idea. 

In running a line of considerable length, a surveyor should 
liave two assistants to carry the chain, two to carry flags, in 
whose abihty and correctness he can confide, and a fifth to 
carry an axe. ii^ the surveyor is not furnished with such a 
number of assistants, his employer need not place too much 
confidence in his work. 

The flag staves should be as much as two and a half or 
three inches in diameter, or what would be better, two strips 
of a board of that width, and seven or eight feet in length. If 
they are not so wide, they cannot be seen through the sights 
of the compass at any great distance. On one end of each 
staff, a flag, either white or red, of a yard in length should be 
wound tight, and not left to hang loose and flutter in the wind. 
The latter color will be more clearly seen through bushes, 
especially when the ground is covered with snow, and the 
brighter the color the better. Being thus manned and equipped 
at the beginning of a line, he must set his compass as near the 
true line as he can, or, he may set up one of the flags at the 
place of beginning, and go forward as far as he can have a 
view of the back flag. There set his compass on the random 
line, and send the other assistant as far forward as he can 
conveniently see the flag. When each flag is clearly seen 
through the sights of the compass, the back flag must be brought 
i^^rward, and placed where the compass stood. In this manner 
he must proceed on his random line, taking care each time he 
sets his compass, to turn the sights to the back flag. Great 
care must be taken to keep the flags perpendicular ; also, the 
surveyor must keep the staff and the sights of the compass per- 
pendicular. A little leaning of the flags, or turning the sights 
of the compass from a perpendicular, will make a crooked hne. 
In taking his sights to the flags, he must look as near the ground 

12 



96 APPENDIX. 

as he can, and when practicable, the flag should be turned 
downwards, on account ot' the danger of being leaned when 
kept up. 

All obstructions, such as bushes, brush, (kc. must be cleared 
away. The random line must be measured, and at conve- 
nient distances, perhaps at every twenty rods, stakes must be 
set directly in it. Every stake must be numbered, that no 
mistake may be made in calculating, when they are afterwards 
removed and placed on the true line. If, in the course of the 
random line, the needle does not traverse as at first, or traverse 
alike at different places, no regard must be paid to it, the flags 
must direct the course ; neither should the surveyor be turned 
aside or terrified by the cry of either of the parties, you are 
ttrong, you are wrong, (for he will most certainly hear it,) but 
he must continue his random line, until turning at right angles, 
either to the right or to the left, as the ease may be, he can 
exactly strike the bound, or the point where a bound is to be 
erected ; there he may stop, and measure the distance from 
that place to the bound. He may then calculate the course 
and distance of the true line, as betore taught, but for setting 
the stakes in the true line, he may take the following directions. 

Suppose the whole length of the random line is 200 rods, and 
the distance from the termination of it to the bound is 90 links, 
the calculation for setting the stakes on the true line may be 
made thus : — As the whole distance : is to 90 links : : so is 
the distance of any stake : to the distance that such stake is 
to be moved. 

If the stakes are 20 rods apart, the answer is, the first stake 
is to be moved nine links, the second IS links, and so on, ad- 
ding nine links at each stake, until the whole are moved at 
right angles from the random, to the true line. Many crooked 
lines and consequent disputes between farmers, have arisen 
from the want of this care and attention. When a long line 
is to be run over a number of ridges, and across intervening 
vallies, it should first be run and established from one ridge 
to another, and the intermediate spaces in the vallies may be 
taken afterwards. By taking long sights there will be less 
danger of turning from a straight line. 

In all cases, the forward flag should be carried as far as it 
can be distinctly seen, unless it is at the termination of a line. 

On account of the irregularity of the magnetic needle, the 
difference between compasses, and the incorrect manner in 
which most of the former surveys were made, no rule can be 
given which may be relied on, with certainty, in renewing 
lost bounds. In such cases, the best evidence must be taken 
which can be produced. When an old line is to be renewed, 
where the bounds have been lost, the surveyor may verify or 



APPENDIX. 97 

prove his accuracy in various modes. If he finds, for exam- 
pie, that the lots on each side of the line contain their due 
quantity, or possess their full width, he will have reason to 
believe that the line is accurately run : if not, he may allow 
for the excess or deficiency in either of these lots, and thus 
discover the true position of the line. 

It would be difficult to mention all the circumstances which 
may govern, or which may serve as evidence in such cases. 



No. V. 



ON BALANCING SURVEYS. 

In every survey which is taken without an error, either in 
courses or in distances, the sum of the northings will equal 
that of the southings ; and the sum of the eastings, that of the 
westings ; but this is not always an infallible proof that the 
survey is accurate, for two errors may be committed, one of 
which will exactly balance the other, which no rule will de- 
tect ; but such cases do not often occur. 

In practical surveying, it is next to an impossibility in any 
case, to work so correctly that the survey will exactly close 
without some correction. The difference between the two 
columns of latitude, and between those of departure, are the 
legs of a right angled triangle, the hypothenuse of which will 
be the distance which the survey will fail of closing. In a 
survey of one hundred acres, whatever may be the number 
of the angles, the difference between the two columns of lati- 
tude and the two columns of departure, ought not to exceed a 
rod for eacli, but to come within those limits if possible. 

If, in such a survey, either of the differences should exceed 
a rod, where the land is valuable and easily surveyed, it would 
be better to take a re-survey, or so far as to detect the error. 

These differences, as before taught in this work, must be 
balanced before the column of meridian distanced can be 
formed, or a correct plot of the survey be drawn. 

The small differences between the columns in surveys 
which arc substantially correct, commonly arise from an ex- 
cess of measure, on- account of the irregularity of surface, and 
from errors of the compass, caused by local attraction, and di- 
urnal motion. 

Some authors have given rules for balancing surveys, which 
are indiscriminately applied to every line in the survey, which 
presupposes that a proportional error must have been com- 
mitted on each and all, both in courses and distances : when 



98 APPENDIX. 

in almost every survey, apart of the lines are on land so level 
and so clear from obstructions of any kind, that if the surveyor 
and chainmen attend to their business, they will not be likely 
to commit much error on them ; while other lines on other 
parts of the same survey are attended with so manv difficul- 
ties, that when they have done their best, it will scarcely be 
possible for them to avoid some error, and the surveyor who 
takes the survey will best judge on what lines the errors were 
committed, and whether they were in the courses or in the 
distances. In all cases, the corrections should be made on the 
lines containing the errors. 

When the errors are in the courses, they should be cor- 
rected, and when the errors are in the distances, the correc- 
tion should be in them, or the correction may be in both 
courses and distances, as the surveyor may judge proper. 

Surveys are commonly balanced by subtracting half the 
sum of the differences, from the numbers in the larger co- 
lumns, and by adding them to those in the less. 

This, in most instances, is a correct method, but in certain 
cases, there are exceptions to it. For example, the boundary 
lines of three sides of a farm are on level land where there 
are no obstructions. The other side is on rough land filled 
with broken precipices. In such a case, most, if not all the 
correction, should be on the lines on the rough side. In some 
instances, most of the error may be in the course of a single 
long line. 

It is not uncommon on high hills that the traverse of the 
needle differs a quarter or a half of a degree or more from its 
traverse in valleys and on plains below. In such cases, 
courses should be corrected. In general, the compass is sub- 
ject to more error than the chain. As rules cannot be given 
for correcting surveys in all cases, this must be left in a great 
measure to the judgment and experience of the surveyor. 

As a general rule, corrections should be made principally on 
long lines, and the corrections may be in proportion to the dif- 
ficulties with which the surveying of them is attended. 

When a course is north or south, or east or west, or near 
either of those points, a few minutes may be added to it or 
subtracted from it when necessary to favor the balancing. 
If the distance is of considerable length, it is probable that the 
course may contain some error. 

When a course is nearly equidistant between any two of 
the four cardinal points, if the correction of it increases the 
latitude and diminishes the departure, or if it diminishes the 
latitude and increases the departure so as to favor the balan- 
cing, there is double evidence that the course contains some 
error. If by diminishing the distance on such a course, both 



APPENDIX. 99 

the latitude and departure are so diminished as to favor the 
balancing, it is good evidence of an excess of measure. 

In correcting surveys, there is less danger from diminishing 
distances than there is from increasing them. Cases may oc- 
cur in which distances may be increased, but the surveyor 
should be very cautious about it. 



No. VI. 

ON RECTANGULAR SURVEYING. 

Rectangular surveying* is a name given to the method 
here treated of by the late Governor Treadwell. 

In the operation of it, the whole survey is reduced to 
squares and parallelograms, and each of these figures is di- 
vided into two right angled triangles of equal shape, or into 
tvfo trapezoids of equal size and shape, by a boundary line of 
the field running obliquely through it, except when the boun- 
dary line is directly north and south, then the figure is divided 
into two squares or parallelograms. 

The calculations are made from a meridian drawn, either 
at the eastern or at the western extremity of the map ; and 
the areas are produced by multiplying the latitudes by the lon- 
gitudes made from this meridian. 

All the spaces lying between the field and the meridian, and 
between the parallels of latitude of the northern and southern 
extremities of it, also large spaces lying without the figure on 
the opposite side of it, and between those parallels, are in- 
cluded in the calculation ; but that which lies without, is even- 
tually excluded. 

Parallels of latitude are drawn from each angle to the me- 
ridian, which are called meridian distances. 

In forming the column of meridian distances, when the me- 
ridian is drawn at the eastern extremity, the westings are 
added, and the eastings subtracted ; but when the meridian is 
laid on the west side, the eastings are added and the westings 
subtracted. 

The meridian distances proceeding from each end of a line 
are added together, to form the column of double mean dis- 
tances, which the compiler of the foregoing work called se- 
cond departure. 

Meridian distances and double mean distances,! are more 

* Rectangular calculation is as proper. 

t The compiler of the foregoing work would have made use of these 
names, but he was afraid of infringing on a certain copy-right which 
has expired. 



100 



APPENDIX. 




APPENDIX. 



101 



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APPENDIX. 103 

gram, or the double area of one of the trapezoids. Let 
this be ao — dz^ partly within and partly without the field. 
To the line dz, nothing is to be added, of course, it is one side 
of the parallelofjram 26 — wl^ which is equally divided by the 
closing line. The distance 70.33, multiplied by the southing 
of the closing line, gives the double area of the triangle 26 — 1, 
partly within and partly without the field. 

The three products in the column of north areas, all lie 
without the field. Those in the column of south areas he 
partly within and partly without the field, and they include 
all the space which is covered by the products in the column 
of north areas. 

Hence it is plain, that when the sum of the former is sub- 
tracted from that of the latter, the double area of the field will 
remain. In this method, when the column of meridian dis- 
tances and that of double mean distances are correct, the sum 
of the Litter will be double to that of the former. 

PENNSYLVANIA METHOD. 

If the writer has been correctly informed, this improve- 
ment was made by Dr. Rittenhouse. 

Only one column is used for meridian distances, but the 
final results are the same as when two columns are used. 

This method is not so easily explained to the learner, but is 
perhaps preferable in practice, because an error may be com- 
mitted in forming the column of double mean distances, which 
may not be discovered, but in this method, an error cannot be 
committed in the meridian distances, without being detected. 
X full explanation of this method would be tedious and per- 
plexing to the learner, without being of the least use in perform* 
ing practical operations, and probably, if made, but little at- 
tention would be paid to it, therefore, only directions how to 
form the column and how to apply the numbers in their prac- 
tical use will be given. 

The operation of this method is substantially the same as 
that of the other, and the diagram given in that will answer 
for this. The north and south products are precisely the 
same in both methods. A further investigation of this met hod 
will be left for the learner when he shall be more expe- 
rienced. 

When the two columns in the other method are proved by 
addition, the process is longer than in this. 

The second column in the foregoing example, marked at 
the top, meridian distances, is the method here treated of. 

To form the column, add twice or subtract twice against 
each station. Set the first easting 16.90 into the head of the 

K 



104 APPENDIX. 

column at the upper place. Add it to itself, and the sum is 
33.80 in the lower place. To this number add the next east- 
ing, and they make 39.01 in the upper place. To this num- 
ber add the same easting again, and they make 4-4.22 in the 
lower place. To this number add the third easting, and they 
make 102.18 in the upper place. To this number add the 
same easting again, and they make 160.14 in the lower 
place. 

From this number subtract the first westing, and 153.89 
remains in the upper place. From this number subtract the 
same westing again, and 147.64 remains in the lower place. 

From this number subtract the second westing, and 144.15 
remains in the upper place. From this number subtract the 
same westing again, and 140.66 remains in the lower place. 
From this number subtract the last westing, and 70.33 re- 
mains in the upper place. 

From this number subtract the same westing again, and 
00.00 remains. The upper number against each station in 
this column, is the same as the double mean distance which 
stands against it ; and the remainder of the process may be 
performed as before directed. Another column may be 
formed as the eleventh in this example, marked H. D. at the 
top, which, for distinction is here called half distance. This 
column is the same as that of Gibson's half departure. It 
contains half the sum of the numbers in the double mean co- 
lumn. These numbers, when multiplied by their respective 
northings or southings, give the simple areas of the different 
figures. 

This method is preferable in practice, as the multiplications 
are greatly diminished. When the last decimal in the double 
mean distances is an odd number, a unit may be taken off, and 
take half the remainder, rather than annex another decimal : 
perhaps this would not make the ditference of a rod in a sur- 
vey of three hundred acres. Or the odd numbers in the last 
place of decimals may be balanced by sometimes adding a 
unit. 

If the numbers are diminished a trifle, it may be remarked, 
that, on account of uneven surfaces, there is danger of mak- 
ing the distances too much, rather than falling short of the 
true measure. There are other methods by which surveys 
may be calculated arithmetically, but none are more correct, 
and perhaps none are so simple and so easy to be understood 
as the methods here treated of. These methods may be ap- 
pHed in every case in practical surveying which depends on a 
calculation from courses and distances. 

Instead of laying the meridian on one side, it may be laid 
through the map, either at an angle or so as to bisect a boun- 



• APPENDIX. 105 

dary line ,* but this renders the process more complex and 
difficult. 



No. VII. 

ON PLOTTING SURVEYS. 

Surveys may be plotted by various methods. That which 
is commonly practised, is by a scale and protractor. 

The latter instrument is a semicircle graduated like the 
compass, and it answers the same purpose in laying angles 
on paper, that the compass does in taking them in the field. 

A meridian is drawn for each station or angle in the sur- 
vey, and the angle which each course makes, with its respec- 
tive meridian is laid down with the protractor, and each dis- 
tance by a scale of even parts. It would be well also to draw 
a parallel of latitude for each station, as by such parallels the 
protractor may be kept more truly to the meridians. 

A plot may be drawn by laying down the angles by the 
protractor without meridians or parallels of latitude, as has al- 
ready been taught in the foregoing work ; but the writer ne- 
ver had so good success by this method as he has had by 
laying his courses from meridians. 

As the scale and protractor are equally subject to error, the 
surveyor will be more hkely to draw a correct plot if he 
should dispense with the latter instrument, and lay down the 
boundary lines from the latitude and departure of each, or 
from the latitude and meridian distance of each angle. 

To plot from the several latitudes and departures, take the 
foregoing survey for an example. 

As that survey is small, take half a sheet of paper and 
draw meridians across each end of it. 

On the left hand meridian, make a point for the beginning. 
From that point draw a parallel of latitude to intersect the 
other meridian, perpendicular to, or at right angles with each. 

The latitude of the first course is 36.25. Draw another 
parallel of latitude at that distance above the first. 

The latitude of the second course is 29.54. This, added 
to the first, makes 65.79. Draw another parallel at this dis- 
tance above the first. 

To the sum of the first and second latitudes, add that of the 
third, and their sum is 81.32. At this distance above the 
first, draw another parallel. The southing of the fourth 
course is 35.54. Subtract this from the whole sum of the north- 
ings, and 45.87 remains. At this distance above the first, 
draw another parallel. From the last remainder, subtract 



106 APPENDIX. 

tiie southing of the fifth course, and 6.02 remains, which is 
the southing of the closing line. At this distance above the 
first, draw the last parallel. In like manner, draw the meri- 
dian of each station, according to the departure made on each 
course. The intersection of these lines will be the angles of 
the figure. If the distances shall not exactly fall into these 
points, the process will contain some error, either in drafting 
or from a scale not accurately divided. 



To PLOT FKOM LATITUDES AXD MERIDIAX DISTAX-CES. 

First, form the column of meridian distances. Next, draw 
the meridian of the first station, and the several parallels of 
latitude as before directed. On these parallels, lay the meri- 
dian distance of each station, viz. — from s to 2, 16.90 ; from 
n to 3, 22.11 ; from m to 4, 60.07; from a to 5, 73.62 : from 
z to 6, 70.33. 

From one of these points to another draw the boundary lines. 
Great care must be taken to keep the latitudes parallel and 
perpendicular to the meridian. The scale must be correctly 
divided, the dividers nicely pointed, and the rule must be 
straight. Whether the protractor is used or not, before a plot 
of a survey is drawn, it should be balanced, and both courses 
and distances corrected according to the balancing. 

The following example is given as a proof of the necessity 
of balancing a survey before the map is drawn. 

A farm is to be divided among a number of heirs. A sur- 
vey of it is taken, and the difference between the two columns 
of latitude, and between the two columns of departure, is two 
rods for each. The survey is balanced and calculated arith- 
metically, and is found to contain two hundred acres. 

The surveyor next draws his map, by which the divisions 
are to be made, according to the courses and distances as they 
were taken on the ground. The plan does not close by nearly 
two rods and three quarters. He next corrects the lines, and 
makes the map close as well as he can : and when the divisions 
are made, they may not agree with the first calculation, by 
two or three acres or more. Should the map be drawn as 
before directed, by the latitudes and departures as balanced, 
or by the latitudes as balanced and the meridian distances, it 
would close, and would be in exact conformity to the calculation 
made arithmetically. If the divisions are made arithmelicaliy, 
the calculations must be made according to the balancing, or 
the divisions will not agree with the first calculation. 



APPENDIX. 107 

When a map of a multangular piece of land of very irregu- 
lar shape is to be drawn, whether a calculation or a division is 
to be made from it, the surveyor should measure across the lot 
between two opposite angles in some central place, at least 
once, and in more places, if convenient, and the case may re- 
quire it. By cross measures, the map may be more correctly 
drawn, and the divisions should be calculated separately. In 
such cases, the surveyor will be more likely to ascertain the 
true contents than he would by surveying only the boundary 
lines and then calculating the whole together. 



NO. VIII. 
On dividing land. 

As lands are divided into so great a variety of shapes, rules 
cannot be given which will answer in all cases. 

In distributions of estates, the divisions are commonly made 
with scale and dividers. This method will answer well provi- 
ded the map is drawn on a large scale, which should not be 
less than ten rods to an inch. 

As more confidence can be placed in arithmetical calcula- 
tions, it may be recommended to every surveyor to make as 
little use of the scale and dividers as he can ; but in our coun- 
try, they cannot, in all cases, be dispensed with. 

In dividing lands, it will be acknowledged by every expe- 
rienced surveyor, that it is a difiicult matter to make the 
amount of a considerable number o£ divisions agree with the 
whole, when calculated by itself. 

A few examples by arithmetical calculation will be given. 
Let the precetiing figure be divided into two equal parts by a 
line running eastward from the second angle. At what point 
on the eastern boundary will it terminate ? 

As you do not know the point, first calculate the area of that 
part which lies above a line from 2 to 5. 

Set the courses and distances of the second, third and fourth 
courses into their respective columns, having a blank line for 
the course, distance, latitude, departure, &c. of the closing 
line from 5 to 2. On the two first of these courses the sum of 
the northings is 45.07 rods, and that of the eastings is 63.17 
rods, and the course from 4 to 5 contains 35.45 rods of southing 
and 6.25 rods of westing. The southing and westing of the 
latter being subtracted from the northings and eastings of the 
two former, leaves a balance of 9.62 rods of southing and 
56.92 rods of westing to fill the blank line. The latitude and 

K2 



108 APPENDIX. 

departure of the closing line being given, the course may be 
found by the following proportion. 

As the latitude is to radius, so is the departure to the tan- 
gent of the course. Look in the column of tangents for the 
course. The course being found, the distance may be found 
as follows. As the sine of the course is to the departure, so 
is radius to the distance. See them worked. 

Latitude 9.62, and departure 56.92, given to find the course 
and distance. 

Lat. 9.62 .... 0.983175 
: Radius .... 10.000000 

: : Departure 56.92 - . 1.755265 



Radius and dep. added . 11.755265 

Lat. brought down . . 0.983175 



: Tangent of the course 80^ 25' 10.772090 

Sine of 80° 25' . . . 9.993896 

: Departure 56.92 - - 1.755265 

: : Radius .... 10.000000 



11.755265 
9.993896 



: Distance . 57.72 . 1.761369 

The course from 5 to 2 is S. 80° 25' W., and the distance 
is 57.72 rods. This being ascertained, the contents of that 
part of the figure above this line will be found, eleven acres 
and thirty. four rods, leaving a deficiency of one acre and a 
half and thirty-three rods of making one half of the whole 
figure. 

This quantity is to be laid in a triangle on the line from 2 
to 5, and on that from 5 to 6, running to a point at 2. 

The question is, what distance from 5 towards 6, will be 
required to give the contents of the triangle ? To answer such 
a question, the area, the contained angle, and one side of the 
triangle must be given to find the length of the contiguous side, 
including the angle. Having these data, take the following 
rule. 

To the sine of the given angle, or to its supplement if obtuse, 
add the logarithm of" the given side ; subtract radius from this 
sum, and subtract the remainder from the logarithm of the 
double area : the last remainder will be the logarithm of the 
side required. In this case, the angle formed by the line from 
5 to 2, and by that from 5 to 6, contains 75° 25', the given 



APPENDIX. 109 

side is 57.72 rods, the area of the triangle is 273 rods, and the 
double area is 546 rods. See the rule worked. 
Sine of 75° 25' - - - 9.985778 
Logarithm of the given side 57.72 1.761369 

Cancel tlie first figure and R. is 

subtracted - - - 1,1.747147 
Logaritliin of the double area - - . 2.737193 

Remainder brought down .... 1.747147 



Logarithm of the side required 9.77 rods - 0.990046 

Measure from 5 towards 6, 9 rods and 19;^ links to a beech 
tree, from thence on a straight line to 2, and the figure will be 
equally divided. The true position of the divisional line beino- 
established, the course and distance of it may be calculated as 
before directed. 

The course and distance from 2 to 5 are N. 80° 25' E., 
57.72 rods : from 5 to the beech tree, S. 5° W., 9.77 rods.' 
On the first, 9.62 rods of northing and 56.92 of easting are 
made. On the second, 9.74 rods of southing and .85 of a rod 
of westing are made. 

The northing of the first course being subtracted from the 
southing of the second, and the westing of the second from the 
easting of the first, .12 of a rod of northing and 56.07 rods of 
westing are given as data by which the course and distance 
from the beech tree to 2 may be calculated. The course is N. 
89^ 53' AV., and the distance is 55.07 rods. 

Suppose it is next required to lay out 15 rods in width be- 
low and parallel with the dividing line. 

As the eastern and western boundary lines both turn ob- 
hquely from the dividing line, the question is, what distance 
will be required on each to give the required width ? 

Make the distance on each boundary line the hypothenuse 
of a right angled triangle, and 15 rods, the width required, 
one of the legs or the base. The angle at 2, formed by the 
boundary and dividing lines, contains 114° 53'. Subtract 90^ 
from this, and 24° 53' remains, being the angle formed by the 
given leg (15) and the hypothenuse. 

Take the following proportion to find the hypothenuse. 
As the co-sine of 24° 53' is to 15, the given side, so is ra- 
dius to the distance required. See it worked. 

Co.sineof24°53' . - . 9.957687 
: given side 15 rods - - 1.176091 

: : Radius - - - - 10. 



11.176091 

9.957687 

side required 16.54 rods - 1.218404 



110 



APPENDIX. 



The dividing line and the eastern boundary, at the beech 
tree, form an angle of 85° 7'. Subtract this from 90° and 
and 4° 53' remains, being the angle by which the east side 
must be worked. 



Co.sineof4° 53' 
: given side 15 rods 
: : Radius 



side required 15.05 rods 



9.998421 
1.176091 
10. 

11.176091 
9.998421 



1.177670 



The distances required are 15 rods 1^ link on the eastern, 
and 16 rods 13-^ links on the western boundary. 

Measure from 2 towards 1,16 rods 13-| links to a spruce 
tree, and from the beech tree towards 6, 15 rods li link to a 
pine tree, and calculate the distance from the pine to the 
spruce, and the division will be completed. This calculation 
must be made by a traverse from the courses and distances 
already known. 

From the spruce to 2, N. 25° E. 16.54 rods ; from 2 to the 
beech, S. 89° 53' E. 56.07 rods ; from the beech to the pine 
S. 5° W. 15.05 rods. Arrange these courses and distances 
in their proper columns as follows, and calculate the latitude 
and departure of each, having a blank line for the last. 



Courses. 


Dist. 


N. 
14.99 


S. 


E. 


W. 


N. 25° 00' E. 


16.54 
56.07 


.12 
14.99 


6.98 
56.07 

63.05 




S. 89° 53' E. 




S. 5° 00' W. 


15.05 


1.31 






12 
15.11 


15.11 


61.74 






63.05 



Having calculated the latitudes and departures, subtract 
the northing of the first course from the sum of the southings 
of the two last, and .12 of a rod remains to be entered in the 
blank column of northings; also, subtract the westing of the 
third from the sum of the eastings of the two first, and 61.74 
remains to fill the blank column of westings. This ba- 
lance of northing and of westing is the latitude and departure 
of the line from the pine to the spruce. The distance is 



APPENDIX. Ill 

61.74 rods, and the course agrees with that on the opposite 
side. 

Suppose it is next required to lay out four acres adjoining 
and parallel with the line from the pine to the spruce. 

As the figure of this division is not regular, no rule can be 
given by which it can be calculated by one operation, but it 
must be done by approximation. 

Reduce the quantity of the division to rods, and divide that 
sum by the length of the known side, and the quotient will be 
10.36 rods, but as the south side will be longer than the north, 
the width cannot be so much. 

Assume 10 rods as the width, and calculate the distance 
on each end by the same process that you did those on the 
last. The angles in this are the same as in that. 

Co.sineof24^ 53' - - - 9.957687 
: given side 10 rods - - 1.000000 

: : Radius . - - - 10. 



11.000000 
9.957687 



: side required 11.03 rods - 1.042313 

Co.sine of 4° 53' - . - 9.998421 

: given side 10 rods - - 1.000000 

: : Radius - - . - 10. 



11.000000 
9.998421 



: side required 10.04 rods - 1.001579 

The distances required are 10 rods 1 link on the east, and 
11 rods ^ of a link on the west boundary. 

Measure from the spruce towards 1, 11 rods ^ of a link to 
a hemlock, and from the pine towards 6, 10 rods 1 link to a 
maple, and calculate the distance from the latter tree to the 
hemlock. 

From the hemlock to the spruce N. 25° E. 11.03 rods; 
from the spruce to the pine, S. 89"^ 53' E. 61.74 rods; from 
the pine to the maple S. 5° W. 10.04 rods. 



112 



APPENDIX. 



Courses. 



N. 25° 00' E. 



Dist. 



11.03 



S. 89= 53' E. 



S. 5^ 00' \V. 



61.74 
10.04 



N. 



10.00 



.12 



.1-2 



10.00 



W. 



4.66 

1 


61.74, 




.87 


J65.53 



10.1210.12 66.40 66.40 



The northing and westing in the blank line is the latitude 
and departure of the line from the maple to the hemlock. The 
distance required is 65.53 rods. To this distance, add that of 
the north side, and the sum of both is 127.27 rods. Muhiply 
half of this sum by 10 rods, the width of the division as it now 
stands, and the product is G36.3 rods. Subtract this from 640, 
and 3.7 rods remain, being a deficiency. To this deficiency 
annex three ciphers^ and divide that sum by the distance from 
the maple to the hemlock, and the quotient will be nearly 6, 
which is .06 of a rod, or 1^ link. To the quantity already 
found, add this width on the south side, and the division will 
be completed. 

The south div-ision of the whole figure contains twelve acres, 
three-quarters and twenty-seven rods. This division now 
stands in three subdivisions. 

The first contains five acres, two quarters and three rods ; 
the second, four acres, and if the foregoing calculations are 
correct, the third contains three acres, one quarter and twenty- 
four rods. See the work proved. 

There now remains between the southeast corner and the 
last subdivision, 5. OS rods, and between the southwest corner 
and the same division, 12.37 rods to be calculated on. 



APPENDIX. 



113 



Couwei. 


Dist. 


N. 


S. 


E. 


W. 


Merid. North 
Dist. Areas. 


South 
Areas. 


s.soocw. 


5.03 




5.06 




.45 


141.1] 
140.66 




714.0166 


S. 8505W. 


70.48 




6.02 




70.33 


70.33' 

oo.ooj 


423.3866 


N. 25 00 E. 


12.37 


11.21 




5.23 




5.23 
10.46 


58.6283 










.13 


65.55 




76.01 
141.56 




9.8813 






11.21 


11.21 


70.78 


70.78 




58.6283 


1147.2845 
58.6283 



il088.6562 



1^0 m- 



64 



A. Qr. Rods. 

CONTKNTS 3 1 24 



No. IX. 



ON BOUNDS AND ROADS. 

As the magnetic needle cannot be relied on in renewing lost 
boundaries, it is of the first importance that good, substantial 
bounds be kept up. In divisions, or distributions of lands, 
surveyors ought to see that such bounds are erected. It is 
their business to cause them to be made, and such bounds 
ou^ht to be described in deeds, or in the instruments by which 
lands are conveyed, and to be a part of the record. By pro- 
per care and attention to this part of the business, many dis- 
putes may be prevented. 

Highways are attended with more difficulties of this kind 
than the location of the divisions of real estate. In laying 
highways, it is the common practice to lay the center lines, 
and order the roads to be of a certain width, and stakes are 
usually set at the angles. Care is not often taken to set bounds 
on the sides, and when the roads are made, the centre bounds 
are destroyed, and the travelling path is often built on one side 
of the centre ; but as the bounds are lost, it is utterly impossi- 
ble, after a few years have elapsed, to ascertain by the survey 
where the road was laid. 

Surveyors who are employed on such business ought to de- 
scribe the angles, or as many as is practicable, in such a man- 
ner that the road may afterwards be found. 



114 APPENDIX. 

In taking surveys of roads, the distance on each proprietor's 
land must be noted for the purpose of assessing damages, but 
these distances need not be entered in the record. The whole 
distance on each course must be entered in the record, and it 
is no matter whether it crosses the land of one or often differ- 
ent owners. 

The following survey of a road prepared for record, may 
serve as an example. 

Beginning* on the centre of the travelled path of the road 
leading from H. to M.,at a point 4 rods westerly of the bridge 
near J. T's house, thence running S. 17° E. 84 rods 10 links 
to a point bearing west 54 links from the south-west point of 
a large rock ; thence S. 5° E. 77-| rods to a point bearing S. 
83° E., distant 77 links from the centre of a large white oak 
tree ; thence S. T 30' E. 67 rods 20 links to a point bearing 
west 59 links from a perpendicular crevice in a rock ; thence 
S. 57 rods 15 links to a pile of stones; thence S. 11° 15' E. 
137^ rods to a point 7-^- rods westerly of the south-west 
corner of T. B's house, measuring on the range of the front. 
The line described by the foregoing courses and distances, is 
the centre of the road which is laid three rods in width. 

When the centre line of a road is laid, the distance which it 
runs on any proprietor's land may be multiplied by the width 
of the road, and the product will be the quantity of land 
taken. 

Whether the centre or a side of a road is laid, the lines al- 
most uniformly cross the boundary lines of lots of land in such 
oblique directions, that if a side is laid, it will require too much 
time to ascertain the exact quantities of land, which will be 
taken from different proprietors. 

Other advantages will be found by laying the centre line of 
a road, which need not here be mentioned. 

Directions for taking minutes on a eoad. 





rods. 


links. 


S. 11° 15' 


E. 17 


00 on W. H.'s land. 


-f- 


30 


00 on R. S.'s « 


+ 


89 


00 on T. B.'s '* 


+ 


u 


rod on old road. 


e distance 


137± 





* The point of the beginning of a road may be described by the inter-, 
section of two lines measured from two permanent objects. 



APPENDIX. 115 

NO. X. 
On distributing estates. 

Ar the distribution of estates is connected with surveying, 
•something on that subject, may, with propriety, be added to 
this work. 

Surveyors are agreed that written distributions of real estate 
are often, and too often returned to Courts, accepted and re- 
•corded, which are so uninteUigible that it is extremely difficult 
and sometimes impossible to ascertain with any degree of 
certainty, where the divisions of land were originally made. 

In distributing estates, surveyors have the minutes, and it 
properly belongs to them to write the distributions. 

To young learners who are coming forward to take an ac- 
tive part in this business, some directions may be given. 

The divisions of land among heirs in most cases, are first 
made on paper. When these are completed and agreed to 
by the distributors, erect the bounds between the several 
divisions. Next, from the map on which the divisions were 
made, which will be full of marks and perhaps some blots, copy 
a neat handsome map on new paper, noting thereon all the 
courses and distances and all the bounds, which should be 
entered in the distribution. Also, note in each division of the 
map the quantity of land it contaias, with the name of the heir 
to whom it was distributed. This map is to be kept by the 
heirs. Next write the distribution, and before it shall be 
returned to Court, see that the heirs have a copy of it. 

With the map and a copy of the distribution, the heirs wilt 
have a record in their own house, from which, at any future 
period, they may find the divisions of their land. 

The following form of a distribution has been approved by 
experienced Judges* of Probate Courts. 

To the Honorable Court of Probate for the District of Rock, 
ingham. 

The undersigned, distributors of the estate of Benjamin 
Banister, Esquire, late of Applebury, within said district, 
deceased, have distributed said estate, under oath, as follows : 

To Philura Banister, widow of said deceased, as her right 
of dower in said estate, fifty acres of land lying on the front of 
the farm, bounded as follows : — Beginning at the northwest 
corner of said farm by the highway, thence running east by 
Roderick Random's land, 50 rods to a maple tree, thence soutli 

• Called Surrogate* in some states, 

L 



116 APPENDIX. 

parallel with the highway 160 rods to a hemlock tree by Tho- 
mas Trunnion's land, thence west by said Trunnion's land 50 
rods to the highway, thence north by said highway 160 rods 
to the place of begiiming. Also the following parts of the 
dwelling house [describe the parts]. Also, the following parts 
of the barn [describe the parts and of other buildings], 

PERSONAL ESTATE. 

Scott's Bible, 815. Bed, curtains, &:c. $45. Look, 
ing glass, $15 8T5.00 

To Benjamix B. P»ANrsTKR, the north division of the farm, 
containing one hundred acres, being partly encumbered by 
dower, bounded as follows : — Beginning at the northwest cor- 
ner of said farm, thence running east by Roderick Random's 
land 200 rods to a beech tree by Oliver Gulliver's land, thence 
south by said Gulliver's land, 90 rods to a spruce tree, thence 
west by land set to Matilda Banister, parallel with said Rem- 
dom's land, 200 rods to a white pine tree by the highway, 
thence north by said highway, 80 rods to the place of beginning. 

Also one undivided half of all the buildings belonging to said 
estate, being' partly encumbered by dower. 

Said division of real estate is appraised at - 82500,00 

PERSONAL ESTATE. 

One horse 8 100. Two yoke of oxen, 8130. Ox 
wagon, ^50. ... . . 8260.00 

To Matilda Banistkr, the south division of the farm, being 
the remainder and residue of said farm, containing one hundreti 
acres, and is 80 rods in width from front to rear, being partly 
encumbered by dower, bounded as follows : — North on the 
division set to Benjamin B. Banister, south on Thomas Trun- 
nion's land, east on Oliver Gulliver's land, west on highway. 

Also one undivided half of all the buildings belonging to 
said estate, subject, in part, to encumbrance. 

Said division of real estate is appraised at - 82500.00 

PERSONAL ESTATE. 

Bed, curtains, d:c. 845. Mahogany table, $12. 
Set of silver spoons, $13 870.00 

Said widow and said heirs have equal privileges of passing 
to and from any and every part of the real estate set to each of 
them in the foregoing distribution, at the usual pass ways, fuch 
as doors, stairs, gates, bars, lanes, paths, 6ic. 

Hugh Hunter, 
Charles Chalkf.r, 
ApplelurjyJuly 30/A, 1H32. Christopher Cutler. 



APPENDIX. 



117 



The foregoing caption or preamble is sufTicient, as it will 
appear of record that the distributors were appointed. Forms 
of distribution must vary according to circumstances. 



NO. XI. 

, On levelling. 

it is not expected that land surveyors will qualify themselves 
tor civil engineers, or that they will furnish themselves with 
suitable instruments for that business, but every surveyor 
should furnish himself with an instrument with which he can 
take levels and angles of elevation* or depression, with a suffi- 
cient degree of accuracy to answer in cases of locating roads, 
of ascertaining whether water may be carried in an aqueduct 
from one place to another, and to ascertain the fall of mill seats ; 
also to answer in all common cases. A cheap, simply con- 
structed instrument, represented by the following figure, is 
recommended. 



A ' B 



z 

A 



Let AB be a strip of a board three inches wide and three feet 
in length, or longer if necessary, made perfectly straight on 
the top. The perpendicular piece which is dovetailed into the 
top, should be of such a width at the bottom that it may be 
graduated either way from the centre, ten or fifteen degrees ; 
and of such a length that the radius by which the graduated 
arch is swept, should be at least a foot. Great care must be 
taken in the graduation, to have it done correctly and by fine 
lines, and to have the centre perpendicular or at right angles 

* An angle of elevation rises above a horizontal line ; a depression 
falls below it. 



118 APPENDIX. 

with the top. The plumb line should be a fine smooth silk 
thread or a hair. At z, a hole should be bored of a suitable 
size to set it on the head of a compass staff. Such an instru- 
ment, if correctly made, will answer all the purposes before 
mentioned.* 

Before directions are given for levelling, the difference be- 
tween the apparent, and the true level, will be explained. The 
former is a tangent, or a straight line, drawn and continued 
from any point on the globe, the surface continually departing 
from it. The latter is the curvature of the earth or a line- 
parallel with it, like two concentric circles, each part of the 
true level, whatever may be its length, is equidistant from the 
centre of the earth. The straight line mn, in the following 
figure, represents the apparent, and the curved line az, the 
true level. 



Let the above described instrument be set on any part of 
the ocean and be levelled by the plummet, the top being even 
w^ith the surface of the water, and let a line with the top be 
continued ; as the plummet hangs directly towards the centre 
of the earth, it is evident that this line is on a tangent, and at 
the end of one mile it will be 8 inches, at the end of 10 miles 
66 feet 4 inches, and at 20 miles, 266 feet above the surface of 
the water. 

In levelling between two points at a considerable distance 
apart, where the instrument must be often set, as the plummet,, 
like the spokes in a wheel, each time hangs directly towards 
the centre of the earth, it will keep the top of the instrument 
on the true level, provided it is set on the centre of each sta- 
tionary distance. But when the level is taken from the first to 
the second station, and from the second to the third, and so on 
in succession to the end, each level will be a tangent ; of 
course the apparent level will be taken. 

The surveyor should also be furnished with two observation 
staves, of suitable width and thickness, eight or ten feet in 
length, planed smooth, and divided into feet and inches. A 
narrow strip of red cloth should be wound and tied, or sewed 
around each of these staves, which may with ease be moved 
up or down, and should be stopped as the surveyor may direct 
when taking his observations. Perhaps a shingle, or a piece 
of board painted red or of some dark color, would be prefera- 
ble. These staves should be committed to the care of two 
skilful men, who will be careful to keep them perpendicular 

* TUis iufitrument may be improved by fixing sights on the top. 



A.PPENDIX. 119 

at the stations, and who will be correct in their assistance in 
taking the observations. Suppose the first stationary distance, 
on which a level is to be taken, is 20 rods. The staves must 
be erected at each terminating point, and the surveyor must 
take his station equidistant from each. If the level strikes the 
back staff seven feet, and the forward staff two feet above the 
surface, it is apparent that the rise between the stations is five 
feet ; but the subtraction need not be made, each observation 
should be entered in its respective column, under the head of 
fore heights and back heights, or fore sights and back sights, 
as the surveyor may choose to term them. 

When the first observation is completed, the back staff 
should be carried forward to a convenient place, and the 
second observation taken as the first. In like manner the rest 
of the observations must be taken and entered in their re- 
sj)ective columns. 

If the sum of the back sights shall exceed the fore sights, the 
terminating point is higher than the place of beginning, but if 
the sum of the foresights shall exceed the back sights, then the 
terminating point is lower than the point of beginning, as will 
appear by the following examples. 





FIRST EXAMPLE. 








Fore sights. 


Bach sigi 






Feet. Inches 


Feet. Inc 


1st Observation 


7 00 


00 


2d 






8 00 


2 00 


3d 






8 00 


1 00 


4th 






7 CO 


2 00 


5th 






7 00 


2 00 


6th 






1 00 


7 00 


7th 






1 00 


8 00 


8th 






1 00 


8 00 


9th 






1 00 


8 00 


10th 






00 
41 


8 00 

46 00 
41 00 



Difference ,5 00 
The terminatiog point is 5 feet higher than the point of be- 
ginning. 



L2 



120 APPENDIX. 

SECOND EXAMPLE. 







Fore sights. 


Back sights. 






Feel. Inches 


Feet. Inches 


1st Observation 7 00 


00 


2nd 




8 00 


2 00 


3d 




8 00 


1 00 


4th 




7 00 


2 00 


5th 




7 00 


2 00 


6th 




1 00 


7 00 


7th 




1 00 


8 00 


8th 




1 00 


8 00 


9th 




1 00 


8 00 




41 00 


38 00 






. 38 00 





Difference 3 00 

The terminating point is 3 feet lower than the point of be- 
ginning. 

When the sums of the two colunms are equal, the extreme 
})oints are on the same level. It will not be necessary to enter 
the stationary distances in the field notes, unless the whole 
distance between the two extreme points, or a profile of the 
surface is wanted. 

On a distance of 80 rods, the difference between the appa- 
rent and true level, is half an inch ; at half a mile, two inches. 

In levelling to ascertain how high a dam across a stream 
may be raised without flowing the meadows, or impeding the 
wheel of a mill above, great caution should be observed, for 
if a dam is raised to a level with a point 80 or 100 rods above,, 
to which it may be supposed that water may flow without 
damage, it will rise higher at that point than any one would 
suppose, who has not investigated the subject. The rise of 
water at the head of a pond, will depend in a great measuro 
on the width of it, and on the size and force of the stream. 

In locating roads, sometimes it is necessary to ascertain the 
difference between the elevation of the hills on two routes^ 
both proceeding from one and terminating at the same point. 
Though the difference of itself, between the rise and fall on 
two routes, may not in all cases be a correct rule by which to 
give preference, yet this evidence, with a comparison between 
the steepness of the hills on two routes, is sufficient. 

To perform this service by the slow process of levelling for 
the conveyance and rise of water, would be attended with an 
expense which the case would not justify, therefore a more 
expeditious method will be pointed out. At convenient ^j&- 



APPENDIX. 



121 



tances, take all the angles of elevation and of depression, with 
the instrument before described, measuring the distance be- 
tween each station. These angles will be taken more cor- 
rectly by back sights, as the surveyor can better select propar 
places fur taking them than an inexperienced assistant. The 
courses or bearings of the several stationary distances, may 
or may not be taken with a compass. 

The elevation of the hills may be ascertained as correctly 
without the courses as with them. If the courses are taken, it 
will require more time and expense. Having measured all 
the stationary distances and taken all the angles of elevation 
and depression on a route, arrange them, as in the following 
table. The first column contains the number of stations ; the 
second, the distances in rods ; the third, the degrees of eleva- 
tion or depression with the letter E. or D. against them. The 
column H. D. contains the horizontal distance made on each 
line. The horizontal distance, with the elevation or depres- 
sion against it, is the same as the latitude and departure on a 
course taken by the compass. The column P. H. contains the 
perpendicular height at the end of each line above the hori- 
zontal hne. This column in this case, is formed by adding the 
elevations and by subtracting the depressions. 



No. 


Dist. 
rods. 






H.D. 


E. 


D. 


P. H. 


1 


50. 


40 


E. 


49.88 


3.49 




3.49 


2 


40. 


5° 


E. 


39.85 


3.49 




6.98 


3 


30. 


30 


E. 


29.96 


1.57 




8.55 


4 


20. 


2° 


D 


19.99 




.70 


7.85 


5 


40. 


40 


D 


39.90 




2.79 


5.06 


6 


50. 


30 


D 


49.93 




2.62 


2.44 


7 


45. 


[O 


E. 


44.99 


.79 




3.23 


8 


40. 


40 


E. 


39.90 


2.79 




6.02 


9 


50. 


30 


E. 


49.93 


2.62 




8.64 


10 


40. 


1° 


E. 


39.99 


.87 




9.51 




40.5 








15.62 


6.11 





By this calculation it appears that the sum of the elevations 
amount to 15.62 rods or to 257 feet 8J inches, and the depres- 



122 APPENDIX. 

sions amount to 6.11 rods or to 100 feet 9f inches, which.may 
be thus expressed, 257 feet 8| inches rise, and 100 feet 9^ 
inches fall. It also appears that the hill at the terminating 
point is 24 links or 15 feet 10 inches higher than the top of the 
first hill. 

By this method of taking elevations, they are all above the 
apparent level, but this will answer the purpose for locating 
roads. 



Directions to make a profile of the above srRVET. 

Lay the plan on a scale of ten rods to an inch. Draw a 
straight line about 3|- feet in length for a horizontal line. On 
this line lay do\vn the several horizontal distances as they 
stand in the table. At the end of each of these distances lay 
down the perpendicular height which stands against it, at right 
angles with the horizontal line. From one of these points to 
another, draw a line from the beginning to the end, which will 
represent the surface of the ground. 

Profiles of roads, or of certain hills on roads, are good evi- 
dence to carry into Courts, in disputed cases of this kind. 
When such testimony is exhibited, the elevations of hills should 
be given in feet and inches. Also, the rise and fall should be 
given in t)iis measure. 



M ISC ELL AIM LS. 

to reduce chains and links to feet and inches. 

Rule. 

Multiply the chains and links, or any number of links less 
than a chain, by 66, the number of feet in a chain, and from the 
product point off two figures at the right, for decimals. The 
figures at the left will be feet. Multiply the decimals by 12, 
the number of inches in a foot, and point off* two figures at the 
right. Those at the left will be inches. Multiply the last 
decimals by 4, and point off* two figures at the right, and that 
at the left will be quarters of an inch. 



APPENDIX. 1?» 

Example, 

In 2 chains 22 links, how many feet and inches T 

ch. 1. 

2.22 

66 



1332 
1332 

146.52 
12 



104 
52 



6.24 
4 



.96 Ans. 146 ft. 6^ in. nearljr.- 

To ASCERTAIN THE NUMBER OF INCHES IN A LINK. 

As it will not increase 66 by multiplying it by 1, multiply 
66 by 12, and the product will be 7.92 inches. 

to reduce inches to the decimal of a foot. 

Rule. 

Annex two ciphers to the inches and divide that sum by 1*^> 
and the quotient will be the decimal required. 

Example. 

What part of a foot is 9 inches ? 

12)900(.75 

84 

60 

60 Ans. .75 or yV^ 

to reduce feet and inches to chains and links. 

Rule. 

Reduce the inches to the decimal of a foot, and annex that 
to the feet, or if there are no inches, annex two ciphers to the 
feet and divide that sum by 66, and the quotient will be chains 
and links. 



124 APPENDIX. 

Example. 
In 440 feet 3 inches, how many chains and links ? 
66)440.25r6.67 
396 



442 

396 



465 
462 



3 Ans. 6 ch. 67 links. 



To FIND THE AREA OF AN ELLIPSE OR ELLIPSIS. 

Rule. 
Multiply the product of the two diameters by 0.7854, and 
point off from the product as many figures at the right hand as 
there are decimals in both factors, and those at the left will be 
tlie area of the figure. 

Example. 
What is the area of an ellipse, of which the longest diame- 
ter is 65 rods and 10 Hnks, and the shortest is 45 rods and 
10 links? 

Longest diameter - - - 654 
Shortest do. - - - 454 

2616 
3270 
2616 



296916 

.7854 



1187664 
1484580 
2375328 
2078412 

2331.978264 
1 



160)2332(14 
160 

732 
640 

A. Q. R. 

Answer 14 2 12 92 



APPENDIX. 



125 



Wheu a piece of land is calculated by chains and links, and 
the contents stand in acres and decimal parts of an acre, it 
may be multiplied by the price of an acre, and the product 
will be the amount. 

Example. 

A piece of land 16 chains and 75 links in length, and 12 
chains and 25 links in breadth, is sold for $25 25 per acre, 
what is the price of it ? 

Length - - - 16.75 
Breadth - - - 12.25 



Acres and decimal parts. 



Answer, 



8375 
3350 
3350 
1675 

20.51875 
25.25 

10259375 
4103750 

10259375 

4103750 

$518.09.84375 



What is the length of a side of a square which contains 
6040 acres ? 

6040 
4 



24160 
40 



Logarithm of 966400 15.985157 

2.992578. Answer, 9«3.06 rocJs. 

What is the length of a side of a square which contains 4 
acres or 640 rods ? 

Logarithm of 640 J2.806180 

1.403090. Answer, 25.3 rods. 

A four sided figure, described by the following courses and 
distances, is divided into two triangles to find arithmetically 
the contents of each, and the amount of both, viz. A. B. N. 10^ 



l^ APPENDIX. 

E. 55 rods, B. C. S. 85° E. 65 rods, C. D. S. 8° W. 60 rods, 
D. A. N. 80° 35' W. 66.85 rods. The supplement of the an- 
gle contained between the two first sides is 85°, what is the 



area of the triangle 

Sine of 85° . 9.998344 

A. B. 55 rods - 1.740363 

B. a 65 do. . 1.812913 



Cancel the first figure 1.3.551620 — Double area 3561 

160)1780.5(11 
160 



180 

160 



A. Q. R. 



Answer, 11 20i 20.5 



The angle contained between the two last sides is 88° 35', 
what is the area ? 

i5ineof88°35' - 9.999867 
CD. 60 rods . 1.778151 

D. A. 66.85 rods - 1.825101 



Cancel the first figure 1.3.603119— Double area 4010 

160)2005(12 

lao 

405 
Answer . 12 2 a5 320 
First triangle 11 20i 



85 



Whole contents 23 2 25i 



Perhaps the above is as short and as certain a method to 
calculate the contents of an oblique angled, four sided figure aa 
can be taken.* 

The method of calculating the acres of such figures by mul- 
tiplying together half the sum of the two opposite sides, is in- 
correct, or the only certainty there is in it, is that of making in 
a greater or less degree, an excess of quantity. Jn cities, it is 
the practice to measure lots by feet and inches. 

To calculate the areas of such lots, reduce the inches to tho 
decimal of a foot, annex such decimals to the feet to which they 

» Any polygon may be reduced to triangloa, and the contentB calcu- 
lated by the same method. 



APPENDIX. 127 

belong, and calculate as by other measure, which will give the 
areas in square feet. 

When it is required to give the areas of such lots in square 
rods, and the contents stand in square feet, divide the feet by 
272.25, the number of square feet in a rod, and the quotient 
will be the answer ; or the feet and inches given in the dis- 
tances, may be reduced to chains and links, or to rods and de- 
cimal parts of a rod, and the calculations made as in other 
cases. In measuring city lots, as step-stones and other obstruc- 
tions may be in the way, extend a rope across the front. — Let 
it be level, drawn tight, and made fast at each end. Measure 
on the rope ; also, measure the other sides with equal accuracy 
if necessary. 

In the two first editions of this work, a rule was inserted to 
prove the correctness of the courses in a survey, but it was af- 
terwards discovered by Mr. Flint and by others that the rule 
will prove courses to be correctly taken when they are in- 
correct. 

The same rule has recently made its appearance in the 
American Journal of Science and Arts, and it may take a 
second tour among surveyors under the character of an un- 
erring rule. 

Form of a field book. 



Beg 


;inning at a mere-stone at 


the south-west corner. 








Rods. 


Links. 


1. 


N. 25° 


00' 


E. 40 


00 to a pine tree, 


% 


N. 10 


00 


E. 30 


00 to a hemlock tree, 


3. 


N. 75 


00 


E. 60 


00 to a spruce tree, 


4. 


S. 10 


00 


W. 36 


00 to a beech tree, 


5. 


S. 5 


00 


W. 40 


00 to a maple tree. 


6. 


S. 85 


05 


W. 70 


12 to the place of beginning. 



As great a perplexity as young learners meet with, is that 
of giving decimals their proper places when calculating lati- 
tudes and departures. 

What is the latitude and departure of N. 10° E. 6.5 rods? 

This need not be taken by two inspections, one for the in- 
teger and another for the decimal, but under 10° in the tra- 
▼erse table, against 65, the latitude is 64.01, and the depar- 
ture is 11.29. 

The separating point may be placed between the two first 
figures in each, and as the fourth figure in the departure is 9, a 
unit may be added to the third, the fourth figure in each may be 
omitted, and the latitude is 6. 40 rods, and the departure 1 . 1 3 rod. 
What is the latitude and departure of N. 84° E. 70 rods and 

M 



128 APPENDLX. 

2 links ? The distance is 70.03 rods. The decimal is y|^ of 
a rod. Over 84^ in the traverse table against 70, the latitude 
is 7.3:2, and the departure is 69.62. Against 8 over latitude 
IS 0.84, so near a unit that 1 may be added to the second de- 
cimal in the latitude, and over departure is 7.9G, so near 8 
that that number may be added to the second decimal in the 
departure. The latitude 13 7.33, and the departure is 69.70. 

On accoimt of the diurnal motion of the magnetic needle, in 
the warm season of the year, the courses in all surveys, if 
practicable, should be taken before 9 o'clock in the morning. 

Let this matter be investigated. A survey is commenced 
at seven o'clock hi the morning, but is not completed until 
three o'clock in the attemoon. The course of the lirst line is 
N. 5^ E., and the distance is 70 rods. The departure on this 
course and distance is 6.10 rods. 

When the survey is completed, the bearing of this line is 
again taken, and the course is N. 5^ 10" E. The departure 
13 now 6.30 rods, five hnks more than it was in the morning. 
Every compass which is in such order as it ought to be, will 
generally find in the summer, from morning to one o'clock, as 
great a change as this, often greater, but seldom less. 

The writer knows not who invented the tbllowing rules for 
finding contained angles, but they have been extensively adopt- 
ed into practice. 

N. 62 E. > When the first letters are alike, and the last 
N^. 44^' W. ^ unlike, add the courses. 

S. 72" E. } When the first letters are alike, and the last 
S. 25^ E. \ also, subtract the less course from the greater. 
X' P , . p ) When the first letters are unlike and the last 
::, ' _ 3 P ■ V alike, add the courses and subtract their sum 

XT — rc w i When the first and the last letters are unlike, 
^ o-o f' > subtract the less course from the greater, and 
b. 2o h. ^ ^^g remainder from 190°. 

To find the quantity of an angle, reverse the preceding 
course, then both courses will run from the same point. These 
rules are appHed only when the first course is reversed. 

Example. 

Two courses are given, viz. S. 62^ W. and N. 44^ W. to 

find their contained angle. Suppose yourself standing at the 
point where these courses meet. Reverse the letters ©f the 
first course, and they will stand thus : 



N. 62" E. > 
N. 44^ W. \ 



The first rule. 



APPENDIX. 



129 



The following figures were prepared for the sixth edition of 
this treatise, by Mr. Barnard.* There is nothing in the rules 
to which they are applied, different in principle from the pre- 
ceding ones, but they do not require the first course to be 
reversed. 

I. If the first letters are alike, and the last also, add the less 
course to the supplement of the greater. 

II. If the first letters are alike, and the last unlike, subtract 
the sum of the courses from 180°. 

III. If the first letters are unlike and the last alike, add the 
courses. 

IV. If the first letters are unlike, and the last also, subtract 
the less course from the greater. 

" A set of figures like the following, well fixed in the mind, 
will be a great assistance to the learner.' 



Rule 1st. 
N. 20° E. 
N. 70 E. 



Rule 2nd. 
N. 50° E. 
N. 40 W. 




" It will be seen that the required angle, in each case, 
is A. B. C." 



Such notes on the text as are signed Ed. were made by Mr. Barnard . 



130 APPENDIX, 

CO>T£RGI>G OF MERIDIANS. 

Two meridians cannot be run by the compass parallel ro 
each other, for they will diverge towards the equator and con- 
verge towards the pole. 

The length of a degree of longitude in any parallel of lati- 
tude is to the length of a degree upon the equator, as the co- 
sine of that latitude is to radius. 

The following proportion will give the length of a degree 
of longitude in any parallel of latitude. 

As radius is to the length of a degree on the equator, so is 
the co-sine of the latitude, to the length of a degree on that 
latitude. This rule may be applied either to geographical or 
to statute miles. 

A degree on the equator of geographical measure, is 60 
miles : that of statute measure has been estimated at 69^ 
miles, but this estimate is too great. 

The earth is considered a sphere, 7930 statute miles in dia- 
meter. By the rules contained in this book for calculating 
the circumference of a circle when the diameter is given, the 
circumference of the earth will be found 24912. S miles. This 
number divided by 360, gives a quotient of 69.2, the length of 
a degree upon the equator. 

FresT E\\>rPLir. 

What is the length of a degree of longitude in geographical 
miles in latitude 42 ? 

As radius .... 10.000000 
Is to 60 miles - - - 1.77S151 

So is co-sine of latitude 42^ - 9.S71073 



11.649224 
10.000000 



Answer 44.59 miles. 1.649224 

Seco:!0) example. 

What is the length of a degree of longitude in statute miles 
in latitude 42^ ? 

As radius .... lO.OOOOOO 

Is to 69.2 miles . - - 1.S40106 

So is co-sine of lat, 42^ - 9.S71073 



11.711179 
lO.OOOOOO 



Answer, 51.42 miles. 1.711179 



APPENDIX. 181 

DIVERGENCE OF THE COMPASS FROM PARALLELS OF 
LATITUDE. 

When a meridian crosses a parallel of latitude, the angles 
on the side opposite to the equator are equal, and each con- 
tains less than 90^, of course those on the other side are equal, 
and each contains more than 90^. This is demonstrated by 
the meridians and parallels on a globe. The difference be- 
tween the first and second angles, depends on their distance 
from the equator. In 70^ of latitude, the two first are less, and 
the two last are greater than they are in 10° of latitude. 

When the compass is set on any parallel of latitude, at right 
angles with a meridian, it is apparent that each angle contains 
90°, of course the compass will not run on that parallel, but 
will diverge from it, and by continual running will arrive at 
and run on the equator. 

in 70° of latitude, the compass tends towards the equator 
faster than it does in 10°, hence it is evident that an east or 
west line, run by the compass is not straight, but is curved. 

On an extensive plain let a line be run east or west to the 
distance of some miles ; then from the terminating point, back 
on the opposite course, the compass will not return on its first 
track to the place of beginning, but will fall towards the 
equator. 

The divergence of the compass from parallels of latitude, 
cannot materially affect common land surveying, but lines 10, 
20 or 30 miles in length, when designed to be run on particular 
parallels will be affected by it, unless calculations are made to 
keep the compass on such parallels. 



QUESTIONS. 

1. At a certain point, I took the elevation of a tower, 3° 15', 
then measured toward the tower on an angle of depression l'-" 
333 feet, to a level with the base of the tower, when I took the 
elevation again, 8°. Required the height of the tower, and 
the distance from the second place of observation to the base ; 
also, how much higher the land was at the place of the first 
observation, than at the second. 

Answer. Height - - - 99.6 feet. 
Distance required - 708.6 feet. 
Difference in height of land 40.58 feet. 

2. Two persons made obser\'ations on the altitude of a 
meteor, both being on the same side of it, and in a vertical 
plane passing through it. The distance between their stations 

M* 



132 APPENDIX. 

was 200 rods, and at one the angle of elevation waa 36° 25', 
at the other 32^ 50', and at the last the disk of the meteor sub- 
tended an angle of 5'. Required the distance from the last 
place of observation, also the height and diameter of it. 

M. Q. R. 
Answer. The distance 5 3 60 
Height, 3 70 

Diameter, 45 feet 5\ inches. 

3. From the top of a steeple 165 feet high, the angle of de* 
pression of the nearest bank of a river is 11^ 15', that of the 
opposite bank is 6° 15'. Required the width of the river. 

Answer, 41.13 rods. 

4. What length of cart tire will it take to band a wheel 5 
feet in diameter ? 

Answer, 15 feet, S| inches. 

5. A gentleman laid out a garden in a circle, containing one 
acre, one quarter, and one rod, with a gravelled walk on the 
outer side of it within the circle, which took up twelve rods of 
ground. What is the diameter of the circle, and what is the 
width of the walk ? 

Answer. The diameter 16 rods — width of the walk 4 feet. 

6. Neptune laid out 1,000 square miles of the surface of the 
sea in a circle, and sold to ^Eolus all that part of it which lies 
without a concentric circle of one third of the diameter. What 
is the diameter, and how much was sold ? 

Answer. The diameter 35.68 miles. 
The quantity sold 888.92 square miles. 

7. A farmer laid out an elliptical orchard, the longest di- 
ameter of which was 30 rods, and the shortest was 20 rods, 
and enclosed the same with a wall two feet thick within the 
figure. What is the quantity within the wall, and how much 
is covered by it ? 

A. Q. R. 
Answer. Within the w-all 2 S 22 
Covered by the wall 9.3 

8. From a point in an equilateral triangle, I measured the 
distances to each corner, and found them 20, 28, and 31 rods. 
Required the area and the length of the sides.* 

A. Q. R. 
Answer. The area 5 1 36| 

Lencfth of each side 45 rods. 



* This may be solved geometrically. 



APPENDIX. 133 

9. Required the dimensions of a parallelogram containing 
one acre and a half, bounded by 64 rods of fence. 

Answer, 12 by 20 rods. 

10. The area of a parallelogram is five acres one quarter 
and thirty.fivc rods, and the diagonal is 43 rods. Required 
the length of the sides. 

Answer, 35 by 25 rods. 

11. Required the dimensions of a parallelogram containing 
twenty-six acres, one quarter, and twenty-four rods, when 
the' length exceeds the breadth by fifty-two rods. 

Answer, 44 by 96 rods. 
12 Required the dimensions of a parallelogram containing 
250 acres, when the sides are in the proportion of 7 to 3. 

Answer, 130.93 by 3054 rods. 

13. John and Jonathan divided a lot of land equally as to 
value, which contained 600 acres, and which was appraised at 
$2 per acre. John's division was valued at 50 cents per acre 
more than Jonathan's. What was the contents and price per 
acre of each division. Answer. John's division contained 
263 acres and 12 rods, and the price per acre was $2.28 j'jj- 
nearly. 

Jonathan's division contained 336 acres, 3 roods, and 28 
rods, and the price per acre was $1.78y'^ nearly. 

14. The state of Connecticut contains a little more than 
4,828 square miles, or 3,090,000 acres, including rivers, bar- 
bors, creeks, roads, &c. If this quantity is laid in a square, 
what will be the length of a side ? 

A. Q. R. 

Answer, 69 1 75.11. 

One word of advice to the young surveyor, who is coming 
forward to be useful in his occupation, will close the ap- 
pendix. 

In the choice of assistants to perform practical operations, 
never call to your aid Sir Richard Rum. He frequently 
changes his name to brandy, gin, ichiskey, <^c. He is trea- 
cherous, and he causes the head to whirl, the body to reel, and 
the foot to stumble. 

By his might, the strong man has fallen, and the promising 
youth has been brought to an untimely grave. 

If you employ Sir Richard, your columns of latitude may 
differ too much for correct work, and your columns of depar- 
ture may be still worse. You can place no confidence in him, 
and it is hoped that you will too highly respect your own 
character to be found in such company. 



134 APPENDIX. 

Note. — Such theory as is more curious than useful, how. 
ever correct it may be, has been excluded from the appendix. 
The plainest methods have been selected. On some points, 
the Author has been more minute on account of the fact that 
many copies of this book are bought by men who do not ex- 
pect to be surveyors, and who do not place themselves under 
instructors. 

Hebron, (Conn.) August, 1832. 



LOGARITHMS. 



LOGARITHMS. 



Let there be a series of numbers, increasing by a common difference, 
as for instance, by 1, viz. 

0, 1, 2, 3, 4, 5, 6, &c. 

and another, viz. 1, 10, 100, 1,000, 10,000, 100,000, 1000,000, &c. 
increasing by a common multiplier, 10. The former are the loga- 
rithms of the latter. 

It will be seen that 1 is added in the upper series, as often as 10 is 
made a multiplier in the lower. If two logarithms, then, be added, and 
the numbers below them multiplied, the sum of the logarithms will be 
the logarithmof the product. 

Thus, if the lugs. 1 and 2 be added, and the corresponding numbers, 
10 and 100 be multiplied, the sum will be 3, and the product 1,000. 
These numbers may be seen to correspond to each other, in the two 
series above ; there, 3 stands over 1,000, and is, of course, its logarithm. 
So, if 2 and 4 be added, and 100 and 10,000 multiplied, the sum will be 
6, and the product, 1,000,000, which may be likewise seen above to 
correspond. 

Furthermore, if, from a greater logarithm a less be taken, and, at the 
same time, the number corresponding to the greater be divided by the 
number corresponding to the less, the remainder will be the logarithm 
of the quotient. 

Thus, if from the loz. 5, the log. 3 be subtracted, and, at the same 
time, 100,000, the number corresponding to 5, be divided by 1,000, the 
number corresponding to 3, the remainder will be 2, and the quotient 
100, which may be seen above to correspond to each other. 

With a set of logarithms, then, calculated, not merely for the num- 
bers 10, 100, 1000, &c., but for all numbers whatever, it is plain that we 
might perform the operations of multiplication and division, by addi- 
tion and subtraction only. Such logarithms are calculated and arran- 
ged in tables for use. 

By observing the two ranks of numbers at the head of this article, it 
will be perceived, that the logarithms increase by a constant addition, 
(of ],) and the corresponding numbers by a constant multiplication, 
(by 10,) ; and therefore, that when the logarithms are in arithmetical 
progression, the numbers are in geometrical progression. On this ac- 
count, logarithms have been defined to be a series of numbers in arith- 
metical progression, corresponding to another series in geometrical pro- 
gression. 

But it will be seen that the numbers, 10, 100, 1,000, 10,000, &c. are 
the first, second, third, fourth, &c. powers of 10, and that their corres- 
ponding logarithms, 1, 2, 3, 4, &c. are the indices of these powers. 
Hence a better definition is, 

Logarithms of numbers are the indices, expressing the powers 
TO which a given number must be raised, to produce those num- 
bers. 

This " given number" is called the radix, or base, of the system, and 
may be any number whatever. The number lO, however, is most con- 
venient, and is therefore employed in the common tables. 



2 LOGARITHMS. 

The logarithm of 1 is 0, and that of 10 is 1. Hence it is evident, 
that, for numbers between 1 and 10, the logarithm will be between 
and 1. Of course, it will be a fraction ; and, when placed in the tables, 
it is expressed by a decimal. For numbers between 10 and 100, the 
logarithm is between 1 and 2 ; for numbers from 100 to 1,000, between 
2 and 3 ; from 1,000 to 10,000, between 3 and 4, and so on, consisting, 
of course, in each case, in part of a whole number, and in part of a de- 
cimal. From the above, it will be sufficiently evident, that 

The integral (or whole nxmber) part of axy logarithm, is a unit 

LE3S than the NUMBER OF INTEGRAL PLACES L\ THE CORRESPONDLNG 
KUMBER. Or, it shows how far the highest figure of the NUMBER 
IS DISTANT FROM THE UNIT's PLACE. 



For example. 






The log. of 5,799 


is 


3.763353 


577.9 


is 


2.763353 


57.99 


is 


1.763353 


5.799 


is 


0.763353 



The INTEGRAL PART OF A LOGARriHM IS CALLED THE INDEX, OR 
CHARACTERISTIC, OF THAT LOGARITHM. 

As this characteristic is always a unit less than the number of inte- 
gral places in the corresponding number, it is evident that when this num. 
ber has but one integral place, the characteristic will be ; which is the 
rase with the last log. above. If, then, ihe number be a proper frac- 
tion, or a decimal, and have, therefore, no integral place, or places, the 
characteristic of the log. on this principle, ought to be less than nothing. 
Now, since we cannot diminish nothing, so as to render it less than no- 
thing, we employ, whenever it is necessary to use logarithms of this 
kind, a characteristic with a mark over it, thus, y, -o, y, j, &c. The 
mark shows that the characteristic ought to be less than nothing, and 
the number, over which it is drawn, informs us, how much it should be 
less than nothing. In all cases, then, where it is necessary to add the 
logarithm, we mnst subtract this characteristic ; and in all cases where 
it is necessary to subtract the logarithm, we must add the characteristic. 
For, since adding nothing to a number does not alter it, adding less than 
nothing ought to diminish it. And, since subtracting nothing from a 
number does not alter it, subtracting less than nothing ouffht to increase 
it."^ 

It will be seen above, that for every division of the number by 10, 
(or, every removal of its decimal point towards the left) the character- 
istic becomes a unit less. 

* An apology may perhaps be considered necessary for the language 
here employed. The writer would not be thought to advocate the ab- 
surdity that a number may actually be less than nothing; but the phrase 
is so concise and expressive, and notwithstanding its absurdity, conveys 
to the mind of one unacquainted with the nature of negative quantities, 
the idea intended, so much more perfectly, than any explanation we 
should here have room to make, could do, that it has been thought ad- 
visable to employ it. This treatise is intended for practical men, and 
pot for metaphysicians nor scholars. To those who have attended to 
Algebra, the explanation above will be unnecessary. 



LOGARITHMS. 3 

Since, then, the log. of 5.799 is 0-763353, 

the log. of .5799 will be y.763353, 

of .05799 " 2-763353, 

of .005799 " 3.763353, 

of .0005799 " 4.763353, &c. 

By observing these logarithms, it will be seen, that 

The negative characteristic of a logarithm, shows how far 

THE first significant FIGURE OF ITS CORRESPONDING DECIMAL IS DISTANT 
FROM THE unit's PLACE. 



EXPLANATION OF THE TABLE. 

When the logarithms of numbers, from 1 upward to any other given 
number, are calculated, and arranged in a table, they constitute a table 
of logarithms. Tables of logarithms of great extent have been calcu- 
lated, but those in common use extend to numbers no higher than 
10,000. This is far enough for the purposes of ordinary calculation. 

In the first column on the left of each page, are arranged the natural 
numbers, and to distinguish this column from the others, the letter N 
is placed over it. Opposite these numbers in the next ten columns, are 
arranged the logarithms. For the first 100 numbers, however, on the 
first page of the table, there is but a single row of logarithms, opposite 
each column of numbers, and there are four rows of numbers on the 
page. 



TO FIND THE LOGARITHM OF ANY WHOLE NUMBER. 

If the number be less than 100, look for it in the column headed N, 
and directly opposite to it, in the column headed Log. will be found its 
logarithm. 

// the number be greater than 100, but less than 1,000, find it as before, 
in the column headed N, and directly opposite, in the column headed 0, 
will be found its logarithm. It will be seen, that when the first two 
figures of several successive logarithms are alike, they are omitted in 
the tabic, after having been once inserted, and only four figures are 
retained. When, therefore, there are but four figures in the logarithm 
opposite the given number, cast the eye up the blank till you find two 
more, which prefix to those already found. It will likewise be observ- 
ed, that for the logarithms of numbers above 100, no characteristic in 
inserted in the table. But this may easily be supplied, since it is always 
a unit less than the integral places in the number. For numbers be- 
tween 100 and 1,000, then, it is 2. 

Find the logarithm of 868. Opposite this number in the table, are 
found the figures 8520. Casting the eye up the blank we meet with 
93, which we prefix to 8520, making 938520. The characteristic, 2, 
being then prefixnd, we have the complete logarithm, 2.938520. 

// the nnmber be greater than 1,0; 0, and less than 10,000, find the first 
three figures in the column, headed N, and the fourth at the head of tho 
page. Then, exactly opposite the first three, and in the column headed 
by tho fourth, will be found the last four figures of the required loga- 
rithm. To these must be prefixed two others^ found as above, in the 
column headed 0. 

That is, if the logarithm on the same line, in the column headed 0» 



4 LOGARITHMS. 

contain six figures, the first two of those must be prefixed. If not, cast 
the eye up the blank, in search of the proper ones, as before. 

There is one exception to this rule. In some logarithms, will be seen 
points or periods occupying the places of figures. When this is the 
case, ciphers must be written in place of the points, and the two figures 
to be prefixed, must be sought in the next lower line, in the column, headed 
0. Thus, 

Find the log. of 4,177. Opposite 417, and in the column headed 7, 
are found the figures 0864. The opposite log. in the column headed , 
has six figures, of which the first two, viz. 62, are to be prefixed to 0864, 
making 620864. The characteristic being joined, the log. is 3.620864. 
For 4,143, we find opposite 414, and under 3, the figures 7315. Here 
we must look along up the blank in the column, headed 0, for the two 
figures to be prefixed, which are 61, making the log. 617315, which, 
with its characteristic, is 3.617315. For 4,366, we find opposite 436, 
aiKi under 6, the figures . . 84. Here, therefore, we must write ciphers 
for the periods, thus, 0084, and look in the next lower line of the col- 
umn headed 0, for the two figures to be prefixed ; which are 64, mak- 
ing the log. 640084, which, with its characteristic, is 3.640084. 

If the number exceed 10,000, find the logarithm of the first four figures 
as above. By the remaining figures, multiply the number opposite, in 
the column headed D ; from the right of the product, reject as many 
figures as the given number has places more than four, and add what is 
left to the logarithm previously found. This sum will be the log. re- 
quired. 

The column marked D, is a column of differences : that is, it contains 
the differences between each two successive logarithms. In many cases 
a mental estimate may be made, of what should be added to a log. with- 
out the use of this column. 

The logarithms of pure or mixed decimal numbers should be taken 
out as if for whole numbers, care being taken to prefix the proper char- 
acteristic, in each case. 

Of vulgar fractions the logs, may be found by reducing them first to 
decimals, or by the rule given below, in division. 

TO FIND THE NUMBER CORRESPONDING TO ANY GIVEN LOGARITHM. 

Find the logarithm next less than that given, in the column headed ; 
pass the eye to the right, along that horizontal line, into the other col- 
umns, and you will find either the log. given, or one very near it ; the 
first three figures of the corresponding number will then be found op- 
posite, in the column headed N, and the fourth figure, directly over the 
log. at the top of the page. The integral places in this number will be 
determined by the characteristic of the log. If this characteristic be 3, 
all the places will be integral ; if it be 2, one decimal must be pointed 
ofT; if it be 1, two decimals, &c. On the other hand, if it be 4, a cipher 
must be annexed to the number ; if it be 6, two ciphers must be annex- 
ed, and so on. 

When thd. given log. cannot be found in the table, however, the num. 
ber may be more accurately obtained by ihe following process. Find 
in the table the next less log , and take the diiTerence between it and 
the given one. Make this difference the numerator of a fraction, and, 
ihe number opposite in the column headed D, the denominator; re- 
duce this fraction to a decimal, which write immediately after the four 
figures corresponding to the tabular log. used. Afterwards place the 
decimal point where the characteristic of the given log. may require. 
ThH8, find the number corresponding to 2.954921. The next lees tabu- 



I 



LOGARITHMS. 5 

5ar log. is .954918, and the difference 3. Making this difference the 
numerator, and 48, the opposite number in the column headed D, the 
denominator of a fraction, we have j\. This, reduced to a deci- 
fnnl, gives .0625, which, annexed to 9014, the number corresponding to 
^54918, makes 90140625. Pointing off according to the given charac- 
teristic, we have 901.40625, the number required. 

Allosvance may often be made in the mind, without the trouble of 
calculation. 



MULTIPLICATION BY LOGARITHMS. 

From the nature of logarithms, as above explained, the reason of the 
following rule will be obvious. 

Take from the table the logarithms of the numbers to be multi- 
plied, AND ADD THEM TOGETHER. ThEIR SUM WILL BE THE LOGARITHM 
OF THE PRODUCT. 

EXAMPLES. 

1. Multiply 29.15 by 9.4635. 

Log. 29.15=1.464639 
Log. 9.4635=0.976052 



Product, 275.86] 39 -f =2.440691, sum. 
When there are negative characteristics, it is best to neglect them 
entirely in the addition, and afterwards diminish the resulting charac- 
teristic by their amount. Thus, 

2. Multiply 71,32 by .3205, 

Log. 71.32=1.853211 
Log.. 3205 =T.505828 



Sum neglecting t=2.359039 
Log. prod. 22.858=1.359039 



INVOLUTION BY LOGARITHMS. 

A number is involved by multiplying it one or more times into itself. 
But a number is multiplied by itself, by adding its log. to itself; that is, 
a number is raised to the second power, by multiplying its log. by 2. In 
like manner, a number is raised to the third p5wer, by multiplying its 
log. by 3, and so on. Hence, to perform involution by logarithms, 

Multiply the logarithm of the number to be involved, by the 
anDEx of the power. The product will be the logarithm of the 
bower. 



EXAMPLES. 

L Involve 2 to the twelfth power. 

Log. 2=0.301030 
Multiply by 12, index, 12 



Power, 4.096=3.612360 

N 



LOGARITHMS. 



Involve .00003 to the 9th power. 
Log. .00003=5.477121 
Multiply by 9, index, 9 



Log. po\ver= * '".294089. Therefore the power is 
.000000000000000000000000000000000000000019683. Here'there were 
4 to carry, which made the negative product, 45, equal to * T. 



DIVISION BY LOGARITHMS. 

To divide one number by another, 

Subtract the logarithm of the divisor from that of the piviDENtt 
The remainder will be the logarithm of the quotient. 

examples, 

1. Divide 15,625 by 625. 

Log. 15,625=4.193820 
Log. 625=2.795880 

Quotient, 25=1.397940 
In case the characteristic of the divisor is negative, it must be added^ 
instead of being subtracted. Thus, 

2. Divide 339 by 0.0807. 

Log. 339=2.530200 
Log. .0807=2.906874 



Quotient, 4,201.25 nearly=3.623326. 

In case the characteristic of the dividend is negative, or is less thais 
that of the divisor, it is best to increase it by a number, which will make 
it so great, that the divisor may be taken from it. After the process of 
subtraction, the same number should be taken away from the resulting 
characteristic. I'he best number for this purpose is 10, or some evea 
number of tens. Thus, 
3. Divide 77 by 111. 

Log. 77=1.8864^1 ; increased by 10=11.886491 
Log. 111= 2.045323 



Difference, 9.841168 

Quotient, .6937= ». 841 168 

This gives us the means of finding the log. of a vulgar fraction ; 
since a fraction merely indicates the division of its numerator by its de- 
nominator. The rule seems to be : 

Take the log. of the denominator from that of the numerator r. 
the remainder is the log. of the fraction. 

4. Find the log. of|l. 

Loff. 25=1.397940 ; increased by 10=11.397940 
. Loi.47= 1.672098 



Difference, 9.725842 

liOgarithm required t. 725842. 



LOGARITHMS. 7 

EVOLUTION BY LOGARITHMS. 

As evolution is the opposite of involution, its rule must of course be, 
Divide the loo. of the given number, bv the number expressing 

THE root to be FOUND. 

EXAMPLE. 

Find the 10th root of 59,049. 

Log. 59,049=4.771213 

Divide by 10=0.477121 

Root=3. 

In the extraction of roots, logarithms will often be found extremely 
usefiil. 



PROPORTION BY LOGARITHMS. 

Add together the logs, of the second and third terms, and from 

THE SUM SUBTRACT THE LOG. OF THE FIRST. ThE REMAINDER WILL BE THE 
J,OG. OF THE FOURTH TERM REQUIRED. 

EXAJIPLE. 

If 23 lbs. of sugar cost ^2.76, what cost 250 lbs. ? 

Statement. 23 lbs. : 250 lbs. : : ^2.76 . $ *** 
Log. 250=2.397940 
Log. 2.76=0.440909 



Sum=2.838849 
Log. 23=1.361728 



Ans. 830.00=1.477121 



EXPLANATION OF THE TABLE OF LOGARITHMIC SINES AND 
TANGENTS. 

This table consists merely of logarithms, calculated for the numbers 
which express the lengths of the natural sines and tangents, to every 
minute of a quadrant, whose radius is 10,000,000,000. The logarithm 
of RADIUS, of the sine of 90°, and of the tangent of 45°, will, of course, 
be 10.000000. As there is frequent necessity to employ the numbers in 
this table, the following rules must be thoroughly understood. 

To FIND THE LOGARITHMIC SINE, CO-SINE, TANGENT, OR CO-TAN- 
GENT, OF ANY NUMBER OF DEGREES, OR DEGREES AND MINUTES. 

// the degrees are less than 45, look for them at the top of the page, 
and for the minutes, in the left hand column ; under the given name, and 
opposite the minutes, will be found the logarithm sought. But, if the 
degrees are between 45 and 90, look for them at the bottom of the page, 
and for the minutes, in the right hand column : over the given name, 
and opposite the minutes, will be found the logarithm sought. If the 
angle be more than 90°, find the log. for its supplement, and it will be 
the log. required. 



8 TRAVERSE TABLE. 

The secants and co-secants are not often employed in trigonometrical 
calculations, and are therefore omitted in the annexed table. They may 
easily be found, if desired, by the following rule. 

The logarithmic secant of an angle is found by subtracting the 
logarithmic co-sine of the same angle from 20.000000 : and 

The LOGARITHMIC CO-SECANT IS FOUND BY SUBTRACTING THE LOGARITH- 
MIC SINE FROM 20.000000. 

Thus, find the secant of 31° 20'. 20 .000000 
Co-sin. 31° 20'=9.931537 



Rem. = sec. 31° 20'=10.068463 

Find the co-sec. of 47° 38'. 20.000000 

Sin. 47° 38'= 9.868555 



Rem. = co-sec. 47° 38'=10.131445 

When there are seconds, the column headed D is employed. The 
numbers in this column show how much difference must be allowed in 
the log. for every second. This difference is carried to two places of 
decimals. Hence the reason of the following rule. 

To find a sine or tangent to degrees, minutes, and seconds. 

Find for degrees and minutes as before ; then multiply the opposite 
number in the column D, by the seconds, cut off two figures from the 
right of the product, and add what is left to the log. before found. 
For co-sines and co-tangents, this product must be subtracted, instead of 
being added. 

To FIND THE DEGREES, OR DEGREES AND MINUTES, ANSWERING TO ANY 
GIVEN LOGARITHMIC SINE, CO-SINE, TANGENT, OR CO-TANGENT. 

Under or over the proper name in the table, seek the given log. or the 
one nearest to it : the degrees will be found at the same extremity of 
the page as the name, and the minutes at the left or right, according as 
the name is at the top or bottom. 

To find an angle to seconds, subtract from the given log. the next 
less in the table, annex two ciphers to the remainder, and divide it, thus 
augmented, by the tabular difference. The quotient is seconds, to be 
added to the degrees and minutes of the tabular log. in case of sines and 
tangents, but to be subtracted, in case of co-sines and co-tangents. 



Explanation of the traverse table, or table of dif- 
ference OF latitude and departure. 

This is calculated for degrees and quarters of degrees, and for any 
distance up to 100 rods, chains, &c. ; by which the northings and south- 
ings, eastings and westings made in a survey may be found. 

Note. Northings and southings are called difference of latitude, or 
simply latitude ; eastings and westings are called departure, meridian 
distance, or longitude. 

To find the latitude and departure, or northing, ^c.for any course and 
distance. 

If the course be less than 45°, look for it at the top, but if more than 



NATURAL SINES. 9 

45® at the bottom of the page, and look for the distance in the right or 
left haad column ; against the distance, and directly under or over the 
course, stand the northing, &lc, in whole numbers and decimals. 

If the course be less than 45°, the northing or southing will be greater 
than the easting or westing; but if more than 45°, the easting or west- 
ing will be the greatest. 

When the distance exceeds 100, take any two or more numbers, 
which, added together, will equal the distance, and find the latitude and 
departure for each of these numbers ; add the several latitudes together, 
and the sum will be the whole latitude ; and so for the departure. And 
when the distance is in chains and links, or whole numbers and deci- 
mals, find the latitude, &c. for the chains or whole numbers, and then 
for the links and decimals, remembering to remove the decimal point in 
the table further to the left, according to the given decimal. 

1. Required the latitude and departure for 45 rods, on a course N. 15° 
15' W. 

Under 15° 15' and against 45 is 43.42 for the northing, and 11.84 for 
the westing. 

2. Required the latitude and departure for 120 rods, on a course S. 
58° 30' E. 

Take one third of 120, which is 40; against this number, over 58° 
30', is 20.90 for the latitude, and 34.11 for the departure. These multi- 
plied by 3 give 62.70 for the southing, and 102.33 for the easting. 

3. Required the laiilude and departure for 37.36 rods, or 37 chains 
and 36 linlis, on a course N. 26° 45' E. 

For 37. Lat. 33.04 Dep. 16.65 

0.36 .32 .16 



37.36 33.36 16.81 



Northing 33.36 Easting 16.81 

Note — When the minutes are not 15, 30, or 45, the northings, &c. 
must be calculated by natural sines, or by trigonometry. 

When the latitude and departure are themselves given, the course 
and distance may be found in the table, thus : look along the columns of 
latitude and departure, until the given numbers are found opposite each 
other. The course will then be directly under or over them, and the 
distance in the right or left hand column. 

If the numbers cannot be exactly found, take those which come near- 
est. If either or both are too great to be found in the table, divide both 
by any number, (10, lOO, 1,000, &c. is most convenient,) and use the 
quotients. The course found thus will be the one required, but the dis- 
tance must be multiplied by the number used before as a divisor. 



Explanation of the table of natural sine?. 

Natural Sines are decimals bearing the same proportion to unity or 
1, that the sine of the corresponding number of degrees and minutes 
bears to radius, or sine of 90°. That is, 1 is assumed as the nat. sine 
of 90°, and the table calculated accordingly. 



10 NATURA.L SINES. 



TO FIND THE NATURAL SINE OF ANT NUMBER OF DEGREES AND MINUTES. 

If the degrees be less than 45, look for them at the top of the col- 
limns, and for the minutes at the left hand ; but if more than 45, look 
for them at the bottom, and for the minutes at the right hand ; under or 
over the degrees and against the minutes, will be the natural sine re- 
quired. 

The reverse of this will give the degrees and minutes corresponding 
to any natural sine. 

TO CALCULATE THE NORTHING OR SOUTHING, &,C. FOR ANY COURSE AND DIS- 
TANCE, BY NATURAL SINES. 

Find the nat. sine and co-sine of the course, and into each of these 
multiply the distance ; the products will be the latitude and departure 
required. 

Required the latitude and departure for 6 chains and 22 links on a 
course N. 38° 27' W. 

Nat. sine of 38° 27', 0.62183 Nat. co-sine 0.78315 

6.22 6.22 



124366 156630 

124366 156630 

373098 469890 



3.8677826 4.8711930 

Ansicer. Northing 4.87 Westing 3.87 



A TABLE 



OF 



LOGARITHMS OF XUMBERS 

FROM 1 TO 10,000. 



N. 

T 


Log. 


26 


Log. 


N. 
51 


Log. 


N. 
76 


Log. 
1.880814 


0.000000 


1.414973 


1.707570 


2 


0.301030 


27 


1.431364 


52 


1.716003 


77 


1.886491 


3 


0.477121 


28 


1.447158 


53 


1.724276 


78 


1.892095 


4 


0.602060 


29 


1.462398 


54 


1 . 732394 


79 


1.897627 


5 


0.698970 


30 


1.477121 


55 


1 , 740363 


80 


1.903090 


6 


0.778151 


31 


1.491362 


56 


1.748188 


81 


1.908485 


7 


0.845098 


32 


1.505150 


57 


1.755875 


82 


1.913814 


8 


0.903090 


33 


1.518514 


58 


1 . 763428 


83 


1.919078 


9 


0.954243 


34 


1.531479 


59 


1.770852 


84 


1.924279 


10 


1.000000 


35 


1.544068 


60 


1,778151 


85 


1.929419 


li 


1.041393 


36 


1.5.56303 


61 


1.785330 


86 


1.934498 


12 


1.079181 


37 


1.. 568202 


62 


1.792392 


87 


1.939619 


13 


1.113943 


38 


1.579784 


63 


1.799341 


88 


1.944483 


14 


1.146128 


39 


1.591065 


64 


1.806180 


89 


1.949390 


15 


1.176091 


40 


1.602060 


65 


1.812913 


90 


1.954243 


16 


1.204120 


41 


1.612784 


66 


1.819544 


91 


1.9.59041 


17 


1.230449 


42 


1 . 623249 


67 


1.820075 


92 


1.963788 


18 


1.255273 


43 


1.633468 


08 


1.832.509 


93 


1.968483 


19 


1.278754 


44 


1.64.3453 


69 


1.8.38849 


94 


1.973128 


20 


1.301030 


45 


1.653213 


70 


1.84.5098 


95 


1.977724 


21 


1.322219 


46 


1.662758 


71 


1.851258 


96 


1.982271 


22 


1.342423 


47 


1.672098 


72 


1.857333 


97 


1.986772 


23 


1.361728 


48 


1.681241 


73 


1.863323 


98 


1.991226 


24 


1.380211 


49 


1.690196 


74 


1.869232 


99 


1.995635 


25 


1.397940 


50 


1.698970 


75 


1.87.5061 


100 


2.000000 



N.B. In the following table, in the last nine columns of each 
page, where the first or leading figures change from 9's to O's, 
points or dots are introduced instead of the O's through the rest 
of the line, to catch the eye, and to indicate that from thence 
the annexed firs^ two figures of the Logarithm in the second 
column stand in the next lower line. 



s 


A TABLE CfP LOGABITKXS FKOH 1 TO 10,0001 


IN. t 1 1 2 ! 3 :. 4 . 5 6 7 i 8 : 9 t D. 1 


100 


000«»0i0434 0.S6? 1301 1734 21G6 2598 3029i 3461 3891 432 


101 


4321.' 4751 51S1 -5609 60:38 6466 6894 7321. 774S 8174 428 


102 


1 8600 9026 9451 9876 .300 .724 1147 1570 1993 2415 424 


103 


: 012837 3259 3680 4100 4521 4940 5360 .5779 6197 6616 419 


104 


! 7033 7451 7868 8284 8700 


9116 95:32 9947 .361 .775 416 


105 


0211891 1603 2016 2428 2841 


3252 3664 4075 4486 4896 412 


106 


5306! 5715 6125 6.533 6942 


7350 7757 8164 8571^8978 408 


107 


9384 9789 .195 .600 10O4 


1408 1812 2216 2619 3021 404 


108 


033424 3826 4227 4628 5029 


.5430 5830 62:30 6629 7028 400 


109 


7426 7525 8223 8620 9017 


9414 9811 .207 .602 .998 396 


110 


041393 1787, 2182 2576 2969 


;3;362 3755 4148 4540, 4932 393 


111 


5.323; 5714 6105 6495 6885 


7275 7664 8053 8442 88:30 389 


112 


9218 9606 9993 .380 .766 


1153 1.5:38 1924 2:3o9 2694 :3.86 


113 


053078 3463 3846 4230 4613 


4996 5378 5760 6142 6524 :382 


114 


6905 72.86 76661 8046 8426 


8805 9185 9563 9942 .320 379 


115 


060698 1075 1452 1829 2206 


2.582 2958 3.333| 3709 4083 376 


116 


44.>8 4832 5206 5580 5953 


6:326 6699 707ll 7443 7815 372 


117 


8186' 8557 8928 9298 9668 


..:38 .407 .776 1145 1514 369 


US 


071882 22.50 2617 2985 3352 


:3718 4<j85 4451 4816 5182 366 


119 


5-547 5912 6276 6640 7004 


7:368 7731 8094 8457 8819 :363 


120 


079181 9543 9904 .266 .626 


.987, 1:347 1707 2067 2426 :360 


121 


08278.51 3144 3503 3861 4219 


4576 4934 5291} .5647 64X^4 357 


122 


6360 6716 7071 7426 7731 


8136 8490 8845 9198 9552 3-55 


123 


9905 .2.58 .611i .963 1315 


16671 2018 2370 2721: 3071 351 


124 


093422 3772 4122:4471 4820 


5169 .5518 5866 6215 6562 349 


125 1 


6910 7257 7604; 7951 8298 


8644 8990 9:3-35 9681 ..26:346 


126 


100371 0715 1059 1403 1747 


2091 24:34 2777 3119 :3462 343 


127 


aS04 4146 4487 4828 5169 


.5510 5851 6191 6-531 6571 340 


12S , 


7210 7.549 7888 8227 8565 


8903 9241 9579 9916 .2-53 338 


129 

130; 


110590 
113943 


092S 1263 1.599 1934 


2270 2605 2940 3275 3609 :335 


4277 4611 4944 5278 


.5611 .-943 6276 6608 6940 :3:33 


131 1 


7271 7603 7934 8265 8595 


8926 9256 9-586 9915 .24-5 3:30 


132 : 


120574 0903 1231 1560 1S88 


2216 2.544 2871 3198 3525; 328 


133: 


3852 4178 4.504; 4830 5156 


.5481 5806 6131 64.56 67811 325 


134 


7105 7429 7753 8076 8399 


8722 9045 9:368 %90' ..12 323 


133 


130334 06.55 0977 1298 1619 


19:39 2260 2580 2900 3219 .321 


136 


3539 3858 4177! 4196 4814 


51:33 .5451 5769 6086 6403 318 


137 


6721: 7037 7354 7671 7987 


8:303 8618 89:34 9249 9564 315 


138 


9879 .194 ..508 .822 1136 


1450 1763 2076 2389 2702 314 


139 


143015 3327 3639 3951 4263 


4574 4S85 5196 -5-507 .5818 311 


Tio] 


146128 64:38 6748 7058 7:367 


7676 79S5 8294 8603 8911 :309 


141 ! 


9219 9527 9835^ .142 .449 


.756 1063 1370 1676 1982 307 


142 


152288 2594 2900 .3205 3510 


3S15 4120 4424 4728 -50:32 :305 


143 


5:336 5640 594:3 6246 6549 


6852 71.54 7457, 7759 8061 303 


144 


8:362 8664 8965 9266 9567 


9868 .168 .469 .769 1068 301 


145 1 


161:368 1667 1967 2266 2564 


2863 3161 M60 37-5.8 4055 299 


146 


4:353 '4650 4947 5244 5.541 


5838 6134 6430 6726 7022 297 


147 


7317, 7613 7908 8203 8497 


8792 9086. 9380 9674 9968 295 


149 


170262, 0.555 084S 1141 1434 


1726 2019 231 1: 2603. 2895 293 


149 
150 


3186 
176091 


3478 3769 4060 4351 


4641 4932 5222 -5512 5802 291 


6:381 6670, 6959 7248 


7536' 7825 8113 8401 S689 289 


151 


8977 


9264 9552! 9839 .126 


.413, .699 .985; 1272, 1.5-58 287 


152 


181844 


2129 2415 2700 2985 


3270 3-5.55 3839 4123' 4407 285 


153 


4691 


4975 5259 .5.542' 5825 


6108 6.391 6674 6956 7239 283 


154 


7521 


7803 8084, 8:366 8647 


8928 9209 9490 9771 ; ..51 281 


155 


190332 


0612 0892' 1171 1451! 


17:30 2010 2289' 2567 2846 279 


156 


3125*3403 :3681 3959 4237i 


4514 4792 5069 5346 5623 278 


157 


5899 6r>6 6453 6729i 70O5: 


7281 7.5.56: 7832 8107 8382 276 


158 


8657, 89:32 9206 9481 9755 


..29 .303 .577 .8-50 1124 274 


159 ' 201397 1670 1943 C'^lG 24SS 


2761 :30:33' 330-5' 3577 384S 272 


N. ' 1 i 2 i 3 i 4 1 5 1 6 1 7 ■ > 9 . D. | 





A TABLC OF LOGARITHMS FROM I 


TO 10,000, 




3 


N. 


1 |li2|3|4l5l6l7l8|9|D. 1 


160 


204120 


4391 


4663 


14934 


5204 


5475 


5746 


6016 


6286 


6556 


271 


161 


6826 


7096 


7365 


7634 


7904 


8173 


8441 


8710 


8979 


9247 


269 


162 


9515 


9783 


..51 


.319 


..586 


.853 


1121 


1.388 


16.54 


1921 


267 


163 


212188 


2454 


2720 


2986 


3252 


3518 


3783 


4049 


4314 


4579 


266 


164 


4844 


5109 


5373 


. 5638 


5902 


6166 


6430 


6694 


69.57 


7221 


264 


165 


7484 


7747 


8010 


8273 


8536 


8798 


9060 


9323 


9.585 


9846 


262 


166 


220108 


0370 


0631 


[0892 


11.53 


1414 


1675 


1936 


2196 


2456 


261 


167 


2716 


2976 


3236 


3496 


3755 


4015 


4274 


4533 


4792 


5051 


259 


168 


5309 


5568 


5826 


' 6084 


6342 


6600 


6858 


7115 


7372 


7630 


258 


169 
170 


7887 
230449 


8144 
0704 


8400 
0960 


8657 
1215 


8913 


9170 
1724 


9426 
1979 


9682 
2234 


9938 


.193 

2742 


256 

254 


1470 


2488 


171 


2996 


3250 


3504 


3757 


4011 


4264 


4517 


4770 


5023 


5276 


253 


172 


5528 


5781 


6033 


6285 


6537 


6789 


7041 


7292 


7544 


7795 


252 


173 


8046 


8297 


8548 


8799 


9049 


9299 


9550 


9800 


..50 


.300 


250 


174 


240549 


0799 


1048 


1297 


1546 


1795 


2044 


2293 


2541 


2790 


249 


175 


3038 


3286 


3534 


3782 


4030 


4277 


4525 


4772 


.5019 


5266 


248 


176 


5513 


5759 


6006 


6252 


6499 


6745 


6991 


7237 


7482 


7728 


246 


177 


7973 


8219 


8464 


8709 


8954 


9198 


9443 


9687 


9932 


.176 


245 


178 


250420 


0664 


0908 


1151 


1395 


1638 


1881 


2125 


2368 


2610 


243 


179 
180 


2853 
255273 


3096 
5514 


3338 
5755 


3580 
5996 


3822 
6237 


4064 


4306 
6718 


4548 
6958 


4790 


5031 


242 
241 


6477 


7198 


7439 


181 


7679 


7918 


8158 


8398 


8637 


8877 


9116 


9355 


9594 


9833 


239 


182 


260071 


0310 


0548 


0787 


1025 


1263 


1501 


1739 


1976 


2214 


238 


183 


2451 


2688 


2925 


3162 


3399 


3636 


3873 


4109 


4346 


4582 


237 


184 


4818 


5054 


5290 


5525 


5761 


5996 


6232 


6467 


6702 


6937 


235 


185 


7172 


7406 


7641 


7875 


8110 


8344 


8578 


8812 


9046 


9279 


234 


186 


9513 


9746 


9980 


.213 


.446 


.679 


.912 


1144 


1377 


1609 


233 


187 


271842 


2074 


2306 


2538 


2770 


3001 


3233 


3L6t 


3696 


3927 


232 


188 


4158 


4389 


4620 


4850 


5081 


.5311 


5542 


5772 


6002 


6232 


230 


189 
190 


6462 


6692 

8f^82 


6921 
9211 


7151 
9439 


7380 
9667 


7609 


7838 
.123 


8067 
..351 


8296 

^578 


8525 
.806 


229 

228 


278754 


9895 


191 


281033 


1261 


1488 


1715 


1942 


2169 


2396 


2622 


2849 


3075 


227 


192 


3301 


3527 


3753 


3979 


4205 


4431 


4656 


4882 


5107 


5332 


226 


193 


5557 


5782 


6007 


6232 


6456 


6681 


6905 


7130 


7354 


7578 


225 


194 


7802 


802b 


8249 


8473 


8696 


8920 


9143 


9366 


9589 


9812 


223 


195 


290035 


0257 


0480 


0702 


0925 


1147 


1369 


1591 


1813 


2034 


222 


196 


2250 


2478 


2699 


2920 


3141 


3363 


3584 


3804 


4025 


4246 


221 


197 


4166 


4687 


4907 


5127 


5347 


5.567 


5787 


6007 


6226 


6446 


220 


198 


6665 


6884 


7104 


7323 


7542 


7761 


7979 


819^^ 


8416 


8635 


219 


199 
200 


8853 
301030 


9071 
1247 


9289 
1464 


9507 
1681 


9725 
1898 


9943 
2114 


.161 


.378 
2.547 


.595 
2764 


.813 
2980 


218 
217 


2331 


201 


3196 


3412 


3628 


3844 


4059 


4275 


4491 


470(5 


4921 


5136 


216 


202 


5351 


5566 


.5781 


5996 


6211 


6125 


6639 


685=1 


7068 


7282 


215 


203 


7496 


7710 


7924 


8137 


8351 


8564 


8778 


8991 


9204 


9417 


213 


204 


9630 


9843 


..56 


.268 


.481 


.693 


.906 


1118 


1330 


1.542 


212 


205 


311754 


1966 


2177 


2389 


2600 


2812 


3023 


3231 


3445 


3656 


211 


206 


3807 


4078 


4289 


4499 


4710 


4920 


5130 


534(> 


5551 


5760 


210 


207 


5970 


6180 


6390 


6599 


6809 


7018 


7227 


7430 


7646 


7854 


209 


208 


8063 


8272 


8481 


8689 


8898 


9106 


9314 


9522 


9730 


9938 


208 


209 


320146 


0354 


0562 


0769 


0977 


1184 


1.391 


1598 


1805 


2012 


207 


210 


322219 


2426 


2633 


2S39 


3046 


3252 


34.58 


3665 


3871 


4077 


206 


211 


4282 


4488 


4694 


4899 


5105 


.5310 


.5516 


57211 


5926 


6131 


205 


212 


6330 


6541 


6745 


6950 


7155 


7359 


7563 


77671 


7972 


8176 


204 


213 


8380 


8583 


8787 


8991 


9194 


9398 


9601 


9805 


...8 


.211 


203 


214 


330414 


0617 


0819 


1022 


1225 


1427 


1630 


1832 


2034 


2236 


202 


215 


2438 


2640 


2842 


3044 


3246 


3447 


3649 


3850 


4051 


4253 


202 


216 


4454 


4655 


48.56 


5057 


52.57 


5458 


66.58 


5859 


6059 


6260 


201 


217 


6460 


6660 


6860 


7060 


7260 


7459 


7659 


7858 


8058 


8257 


200 


218 


8456 


8656 


8855 


90,54 


9253 


9451 


9650 


9849 


..47 


.246 


199 


219 


340444' 0642' 0841 


1039' 1237 


1435 


16.32 


1830 2028' 2225 


198 


N. 


1 1 1 1 2 1 3 1 4 t 5 1 6 1 7 1 8 1 9 1 D. 1 



A TABLE OF LOGARITHMS FBOM 1 TO 10,000. 



N. 


i 1 f 2 1 3 1 4 i 5 1 6 1 7 1 8 1 9 1 D. 1 


220 


342423 2620 


2817 


8014 3212, .34!J9 ;3606 3802 


3999 4196 


197 


221 


4392 


4589 


4785 


4981 


5178 


5374 


5570 


5766 


5962 6157 


196 


222 


6353 


6549 


6744 


6939 


7135 


7330 


7525 


7720 


7915 8110 


195 


223 


8305 


8500 


8694 


8889 


9083 


9278 


9-1:72 


9666 


9860; ..54 


194 


224 


350248 


0442 


0636 


0829 


1023 


1216 


1410 


1603 


1796' 1989 


193 


225 


2183 


2375 


2568 


2761 


2954 


3147 


3339 


.3532 


3724 3916 


193 


226 


4108 


4301 


■U93 


46 So 


4876 


506S 


5260 


.5452 


5643 5834 


192 


227 


6026 


6217 


6408 


6599 


6790 


6981 


7172 


7363 


7551: 7744 


191 


228 


7935 


8125 


8316 


8506 


8696 


8886 


9076 


9266 


9456 9646 


190 


229 


a835 


..25 


.215 


.404 


.593 


.783 


.972 


1161 


1350 1.539 


189 


23U 


361728 


1917 


2105 


2294 


2482 


2671 


2859 


3048 


3236 342-1: 


138 


231 


3612 


3800 


3988 


4176 


4363 


4551 


4739 


4926 


5113 5.301 


188 


232 


54SS 


5675 


5862 


6049 


6236 


6423 


6610 


6796 


6983 7169 


187 


233 


7356 


7542 


7729 


791a 


8101 


8287 


8473 


8659 


8845 9030 


186 


234 


9216 


9401 


9587 


9772 


9958 


.143 


.328 


.513 


.698 .883 


185 


235 


371068 


1253 


1437 


1622 


1806 


1991 


2175 


2360 


2.544 2728 


184 


236 


2912 


3096 


^2S0 


3464 


3(>t7 


3S.5i 


401.5 


41 9S 


43S2 4.565 


184 


237 


4748 


4932 


5115 


5298 


5481 


5664 


5846 


6029 


6212 6394 


183 


238 


6577 


6759 


6942 


7124 


7306 


74-88 


7670 


7852 


8034 8216 


182 


239 


8398 


8580 


8761 


894:3 


9124 


9306 


9487 


9668 


9849 ..30 


181 


240 


380211 


0392 


0573 


0754 


0934 


1115 


1296 


1476 


1656 18.37 


181 


241 


2017 


2197 


2377 


2557 


2737 


2917 


3097 


3277 


3456 3636 


180 


242 


3S15 


3995 


4174 


4353 


4533 


4712 


4891 


5070 


5249 5428 


179 


243 


5606 


5785 


5964 


6142 


6321 


6499 


6677 


6856 


7034 7212 


178 


24^i 


7390 


7568 


7746 


7923 


SlOl 


8279 


8456 


8634 


8811,: 8989 


178 


245 


9166 


9343 


9520 


9698 


9875 


..51 


.228 


.405 


.582' .759 


177 


246 


390935 


1112 


1288 


1464 


1641 


1817 


1993 


2169 


2345 2521 


176 


247 


2697 


2873 


3048 


3224 


aioo 


a575 


3751 


3926 


4101 i 4277 


176 


248 


4452 


4627 


4802 


4977 


5152 


5326 


5501 


5676 


5850 6025 


175 


249 


6199 


6374 


6548 


6722 


6896 


7071 


7245 


7419 


7592 7766 


174 


250 


397940 


SI14 


8287 


8461 


8634 


8808 


8981 


9154 


9328. 9501 


173 


251 


9674 


9847 


..20 


.192 


.365 


.538 


.711 


.883 


1056 1228 


173 


252 


401401 


1573 


1745 


1917 


2089 


2261 


2433 


2605 


2777 2949 


172 


253 


3121 


3292 


3464 


3635 


3807 


3978 


4149 


4320 


4492 4663 


171 


254 


48^ 


5005 


5176 


5346 


55.7 


5688 


5858 


6029 


6199 6370 


171 


255 


6540 


6710 


6SS1 


7051 


7221 


7391 


7561 


7731 


7901 8070 


170 


256 


8240 


8410 


8579 


8749 


8918 


9087 


9257 


9426 


9595 9764 


169 


257 


9933 


.102 


.271 


.440 


.609 


.777 


.946 


1114 


1283 1451 


169 


258 


411620 


1788 


1956 


2124 


2293 


2461 


2629 


2796 


2964 3132 


168 


259 


3300 


3467 


3635 


aso3 


3970 


4137 


4305 


4472 


4639 4806 


167 


260 


414973 


5140 


5307 


5474 


5641 


5808 


.5974 


6141 


630-8 6474 


167 


261 


6641 


6807 


6973 


7139 


7306 


7472 


76a8 


7804 


7970 8135 


166 


262 


8301 


8467 


8633 


8798 


8964 


9129 


9295 


9-160 


9625 9791 


165 


2'33 


9956 


.121 


.286 


.451 


.616 


.781 


.945 


1110 


1275 1439 


165 


264 


421604 


1768 


1933 


2097 


2261 


2426 


2590 


2754 


2918 3082 


164 


265 


3246 


3410 


3574 


3737 


3901 


4065 


4228 


4392 


4.555 4718 


164 


266 


4S82 


5045 


5208 


5371 


5534 


5697 


5860 


6023 


6186 6349 


163 


267 


6511 


6674 


6S35 


6999 


7161 


7324 


7486 


7648 


7811! 7973 


162 


268 


8135 


8297 


8459 


8621 


8783 


8944 


9106 


9268 


9429 9591 


162 


269 


9752 


9914 


..75 


.236 


.398 


.559 


.720 


.881 


1042 1203 


161 


270 


431364 


1525 


1685 


1846 


2007 


2167 


2328 


2488 


2649 2809 


161 


271 


2969 


3130 


3290 


3450 


3610 


3770 


3930 


4090 


4249 4409 


160 


272 


4569 


4729 


48 SS 


5048 


5207 


.5367 


5526 


5685 


5844 6004 


159 


273 


6163 


6322 


6481 


6640 


6798 


6957 


7116 


7275 


7433 7592 


159 


274 


7751 


7909 


S0G7 


8226 


8384 


8542 


8701 


8859 


9017 9175 


158 


275 


9333 


9491 


9648 


9806 


9964 


.122 


.279 


.437 


.594 .752 


158 


276 


440909 


1066 


1224 


1381 


1538 


1695 


1852 


2009 


2166 2323 


157 


277 


2480 


2637 


2793 


2950 


3106 


3263 


3419 


3576 


3732 3889 


157 


278 


4045 


4201 


4357 


4513 


4669 


4825 


4981 


5137 


5293 .5449 


156 


279 


5604 


5760 5915 


6071 


6226 


6382 6537 


6692 6848 7003' 155 1 


N. 


1 i 1 ' 2 ' 3 1 4 ! 5 1 6 ; 7 i 8 1 9 1 D. 1 





A TABLE OF LOGARITHMS FROM 1 


TO 10,000 




5 


N. 


1 1 1 1 2 1 3 1 4 1 5 1 6 1 7 I 8 1 9 1 D. 1 


280 


447168 


7313 


7468 


7623 


7778 


7933 


8088 


8242 


8397 


8562 


156 


281 


8706 


8861 


9015 


9170 


9324 


9478 


9633 


9787 


9941 


..95 


164 


282 


450249 


0403 


0557 


0711 


0865 


1018 


1172 


1.326 


1479 


1633 


154 


283 


1786 


1940 


2093 


2247 


2400 


2553 


2706 


2869 


3012 


3165 


163 


284 


3318 


3471 


3624 


3777 


39,30 


4082 


4235 


4387 


4540 


4692 


163 


285 


4845 


4997 


6150 


6302 


6454 


5606 


5758 


5910 


6062 


6214 


152 


286 


6366 


6518 


6670 


6821 


6973 


7125 


7276 


7428 


7579 


7731 


152 


287 


7882 


8033 


8184 


8336 


8487 


8638 


8789 


8940 


9091 


9242 


151 


288 


9392 


9543 


9694 


9845 


9995 


.146 


.296 


.447 


.597 


.748 


151 


289 


460898 


1048 


1198 


1348 


1499 


1649 


1799 


1948 


2098 


2248 


150 


290 


462398 


2548 


2697 


2847 


2997 


3146 


3296 


3445 


3694 


3744 


160 


291 


3893 


4042 


4191 


4340 


4490 


4639 


4788 


4936 


5085 


6234 


149 


292 


5383 


5532 


5680 


5829 


5977 


6126 


6274 


6423 


6571 


6719 


149 


293 


6868 


7016 


7164 


7312 


7460 


7608 


7766 


7904 


8062 


8200 


148 


294 


8347 


8495 


8643 


8790 


8938 


9085 


9233 


9380 


9527 


9675 


148 


295 


9822 


9969 


.116 


.263 


.410 


.657 


.704 


.851 


.998 


1145 


147 


296 


471292 


1438 


1585 


1732 


1878 


2025 


2171 


2318 


2464 


2610 


140 


297 


2756 


2903 


3049 


3195 


3341 


3487 


3633 


3779 


3926 


4071 


146 


298 


4216 


4362 


4508 


4653 


4799 


4944 


5090 


5235 


5381 


5526 


146 


299 
300 


5671 


5816 
7206 


5962 
7411 


6107 
7555 


6252 
7700 


6397 


6542 
7989 


6<387 


6832 

8278 


6976 

8422 


145 
145 


477121 


7844 


8133 


301 


8566 


8711 


8855 


8999 


9148 


9287 


9431 


9576 


9719 


9863 


144 


302 


480007 


0151 


0i94 


0438 


0582 


0726 


0869 


1012 


1156 


1299 


144 


303 


1443 


1586 


1729 


1872 


2016 


2159 


2302 


2445 


2588 


2731 


143 


304 


2874 


3016 


31.59 


3302 


3445 


3587 


3730 


3872 


4015 


4157 


143 


305 


4300 


4442 


4585 


4727 


4869 


5011 


51.53 


5295 


5437 


5579 


142 


306 


5721 


5863 


6005 


6147 


6289 


6430 


6572 


6714 


0855 


6997 


142 


307 


7138 


7280 


7421 


7563 


7704 


7845 


7986 


8127 


8209 


8410 


141 


308 


8551 


8692 


8833 


8974 


9114 


9255 


9396 


9537 


9677 


9818 


141 


309 
310 


9958 


..99 
1502 


.239 
1642 


.380 


.520 
1922 


.661 
2062 


.801 
2201 


.941 
2341 


1081 
2481 


1222 
2621 


140 
140 


491362 


1782 


311 


2760 


2900 


3040 


3179 


3319 


3458 


3597 


3737 


3876 


4015 


139 


312 


4155 


4294 


4433 


4572 


4711 


4850 


4989 


6128 


6267 


6406 


139 


313 


5544 


6683 


5822 


6960 


6099 


6238 


6376 


6615 


6653 


6791 


139 


314 


6930 


7068 


7206 


7344 


7483 


7621 


7759 


7897 


8035 


8173 


138 


315 


8311 


8448 


8586 


8724 


8862 


8999 


9137 


9275 


9412 


9650 


138 


316 


9687 


9824 


9962 


..99 


.236 


.374 


.511 


.648 


.785 


.922 


137 


317 


501059 


1196 


1333 


1470 


1607 


1744 


1880 


2017 


21.54 


2291 


137 


318 


2427 


2564 


2700 


2837 


2973 


3109 


3246 


3382 


3518 


3655 


136 


319 
320 


3791 


3927 
5286 


4063 
.5421 


4199 
5557 


4335 
5693 


4471 

5828 


4607 


4743 
6099 


4878 
6234 


6014 
6370 


136 
136 


505150 


5964 


321 


6505 


6640 


6776 


6911 


7046 


7181 


7316 


7461 


7586 


7721 


135 


322 


7856 


7991 


8126 


8260 


8395 


8530 


8664 


8799 


8934 


9068 


135 


323 


9203 


9,337 


9471 


9606 


9740 


9874 


...9 


.143 


.277 


.411 


134 


324 


510545 


0679 


0813 


0947 


1081 


1215 


1349 


1482 


1616 


1750 


134 


325 


1883 


2017 


2151 


2284 


2418 


2.561 


2684 


2818 


2951 


3084 


133 


326 


3218 


3351 


3484 


3617 


3750 


3883 


4016 


4149 


4282 


4414 


133 


327 


4548 


4681 


4813 


4946 


5079 


5211 


6344 


5476 


5609 


5741 


133 


328 


5874 


6006 


6139 


6271 


6403 


6536 


6668 


6800 


6932 


7064 


132 


329 
330 


7196 
518514 


7328 
8646 


7460 
8777 


7592 
8909 


7724 


7855 
9171 


7987 
9303 


8119 


8261 
9.566 


8382 
9697 


132 
131 


9040 


9434 


331 


9828 


9959 


..90 


.221 


.353 


.484 


.615 


.745 


.876 


1007 


131 


332 


521138 


1269 


1400 


15,30 


1661 


1792 


1922 


2053 


2183 


2314 


131 


333 


2444 


2575 


2705 


2835 


2966 


3096 


3226 


3356 


3486 


3616 


130 


334 


3746 


8876 


4006 


4136 


4266 


4396 


4526 


4656 


4785 


4915 


130 


335 


6045 


5174 


5304 


5434 


5563 


5693 


5822 


5951 


6081 


6210 


129 


336 


6339 


6469 


6598 


6727 


6856 


6985 


7114 


7243 


7372 


7601 


129 


337 


7630 


7759 


7888 


8016 


8145 


8274 


8402 


8.531 


8660 


8788 


129 


338 


8917 


9045 


9*^4 


9302 


9430 


9559 


9687 


9815 


9943 


..72 


128 


339 


530200 


0328 


0456 


0584 


0712 


0840 


0908 


1096 


1223 


1351 


128 


N. 


|l|2|3|4|5|6|7|8l9|D. 1 



6 


A TABLE OF LOGABITHM8 mOM I 


TO 10,000 






N. 


i 1 1 2 i 3 ' 4 1 5 1 6 ^ 7 ! 8 1 9 I D. j 


340 


531479 


' 1607 


1734 


1862 


1990 
:3264 


2117 


2245 


2372 


2500 


2627 


128 


341 


2754 


2882 


3009 


3136 


3391 


3518 


3645 


3772 


3899 


127 


342 


4026 


4153 


4280 


4407 


4534 


4661 


4787 


4914 


5041 


5167 


127 


343 


5294 


5421 


5547 


.5674 


.5-800 


.5927 


6053 


6130 


6:306 


6432 


126 


344 


6558 


6(585 


6811 


6937 


7063 


7189 


7315 


7441 


7567 


7693 


126 


345 


7819 


7945 


8071 


8197 


8322 


8448 


8574 


8699 


3825 


8951 


126 


346 


9076 


9202 


9327 


9452 


9578 


9703 


9829 


99.54 


..79 


.204 


125 


347 


540329 


0455 


0580 


0705 


0830 


0955 


1080 


1205 


1330 


14.54 


125 


348 


1579 


1704 


1829 


19.53 


2078 


2203 


2:327 


2452 


2576 


2701 


125 


349 


2825 


2950 


3074 


3199 


:3323 


.3447 


3571 


3696 


.38-0 


3944 


124 


350 


544068 


4192 


4316 


4440 


4564 


4688 


4812 


4936 


5060 


5183 


124 


351 


5307 


.5431 


5555 


.5678 


.5-802 


5925 


6049 


6172 


6296 


6419 


124 


352 


6543 


6666 


6789 


6913 


7U36 


71.59 


7282 


7405 


7529 


7652 


123 


353 


7775 


7898 


8021 


8144 


8267 


8389 


8512 


86:35 


3758 


8881 


123 


354 


9003 


9126 


9249 


9371 


9494 


9616 


9739 


9-861 


9984 


.106 


123 


355 


550228 


0351 


0473 


0595 


0717 


0840 


0962 


1084 


1206 


1328 


122 


356 


1450 


1572 


1694 


1816 


19:33 


2060 


2181 


2:303 


2425 


2.547 


122 


357 


2668 


2790 


2911 


30:3:3 


3155 


:3276 


:3398 


3519 


3n4U 


3762 


121 


358 


3883 


4004 


4126 


4247 


4368 


4489 


4610 


4731 


4S.52 


4973 


121 


359 


5094 


5215 


5336 


.5457 


5578 


5699 


5320 


5940 


6061 


6182 


121 


360 


556303 


6423 


6544 


6664 


6785 


6905 


7026 


7146 


7267 


7387 


120 


361 


7507 


7627 


7748 


7863 


7988 


3103 


S22* 


8349 


8469 


8589 


120 


362 


8709 


8829 


8948 


9063 


9188 


9308 


9428 


9.54^ 


9667 


9787 


120 


383 


9907 


..26 


.146 


.265 


.385 


. 504 


.624 


. 743 


.863 


.982 


119 


364 


561101 


1221 


1340 


1459 


1578 


1693 


1817 


19:36 


20.55 


2174 


119 


365 


2293 


2412 


2531 


26.50 


2769 


2887 


.3006 


3125 


3244 


3362 


119 


366 


3481 


3600 


3718 


a837 


3955 


4074 


4192 


4311 


4429 


4548 


119 


367 


4666 


4784 


4903 


5021 


5139 


5257 


.5376 


.5494 


5612 


57.30 


118 


363 


584S 


5966 


60S4 


6202 


6320 


6437 


6555 


6673 


6791 


6909 


113 


369 


7026 


7144 


7262 


7379 


7497 


7614 


77:32 


7349 


7967 


8084 


118 


370 


568202 


8319 


8436 


85.54 


8671 


8733 


8905 


902.3 


9140 


9257 


m 


371 


9374 


9491 


9608 


9725 


9842 


99.59 


..76 


.19.5 


.309 


.426 


117 


372 


570543 


0660 


0776 


0893 


1010 


1126 


1243 


1359 


1476 


1.592 


117 


373 


1709 


18-i.> 


1942 


20.53 


2174 


2291 


2407 


2523 


26:39 


2755 


116 


374 


2872 


2988 


3104 


3220 


3336 


3452 


3568 


3684 


3-800 


3915 


116 


375 


4031 


4147 


4263 


4379 


4494 


4610 


4726 


4841 


4957 


5072 


116 


376 


5188 


5303 


5419 


55:34 


5650 


5765 


5880 


5996 


6111 


6226 


115 


377 


6341 


6457 


6572 


6687 


6802 


6917 


7032 


7147 


7262 


7377 


115 


378 


7492 


7607 


7722 


73:36 


7951 


8006 


3131 


3295 


3410 


8525 


115 


379 


8639 


8754 


3368 


8933 


9097 


9212 


9:326 


9441 


9555 


9669 


111 


330 


579784 


9898 


..12 


.126 


.241 


.355 


.469 


..58a 


.697 


.811 


114 


331 


580925 


1039 


1153 


1267 


1:381 


1495 


1603 


1722 


18:36 


1950 


114 


382 


2063 


2177 


2291 


2404 


2518 


2631 


2745 


2858 


2972 


3085 


114 


333 


3199 


3312 


3426 


3.5.39 


3652 


3765 


:387& 


3992 


4105 


4218 


113 


384 


4331 


44^W 


4557 


4670 


4783 


4896 


5009 


5122 


.52:35 


534.8 


113 


335 


5461 


5574 


5686 


5799 


5912 


6024 


6137 


62.50 


6362 


6475 


113 


386 


6537 


6700 


6812 


6925 


7037 


7149 


7262 


7374 


7486 


7.599 


112 


387 


7711 


7823 


79a5 


3047 


3160 


8272 


3384 


3496 


8603 


8720 


112 


388 


8832 


8944 


&056 


9167 


9279 


9391 


9503 


9615 


9726 


9338 


112 


389 
390 


9950 


..61 


.173 

1287 


.284 
1399 


.396 
^510 


.507 
1021 


.619 
17:32 


.7:30 

1843 


.842 
19-55 


.953 

2066 


112 

111 


591065 


1176 


391 


2177 


2238 


2399 


2510 


2621 


27:32 


2843 


29.54 


3064 


3175 


HI 


392 


3236 


3397 


3503 


3613 


3729 


3840 


3950 


4061 


4171 


4232 


111 


393 


4393 


4503 


4614 


4724 


48:34 


4945 


.5055 


5165 


5276 


.5386 


110 


394 


5496 


5606 


5717 


.5327 


,5937 


6047 


6157 


6267 


6377 


6487 


110 


395 


6597 


6707 


6317 


6927 


7037 


7146 


7256 


7366 


7476 


7586 


110 


396 


7695 


7805 


7914 


3024 


81:34 


824:3 


8353 


8462 


8572 


8681 


110 


397 


8791 


8900 


9009 


9119 


9228 


9337 


9446 


9556 


9665 


9774 


109 


398 


9883 


9992 


.101 


.210 


.319 


.428 


.537 


.646 


. 755 


.864 


109 


399 


600973 


1082 


1191 


1299 


1408 


1517 


1625 


17:34 


1843 


1951 


109 


N. 


1 ■ 2 i 3 ' 4 ' 5 ! 6 7 i 8 ( 9 ' D. j 



A TABLE OP LOGARITHMS FROM 1 TO 10,000. 



N. 


1 |l|2|3|4|5|6|7!8|9|Dl 


400 


602060 


2169 


2277 


2386 


2494, 26031 


2711 


2819 


2928 


3036 108 1 


401 


3144 


3253 


3361 


3469 


3577 


3686 


3794 


3902 


4010 


4118 


108 


402 


4226 


4334 


4442 


4550 


4658 


4766 


4874 


4982 


6089 


5197 


108 


403 


6305 


5413 


5.521 


5628 


5736 


5844 


.5951 


6059 


6166 


6274 


108 


404 


6381 


6489 


6596 


6704 


6811 


6919 


7026 


7133 


7241 


7348 


107 


405 


7455 


7562 


7669 


7777 


7884 


7991 


8098 


8205 


8312 


8419 


107 


406 


8526 


8633 


8740 


8847 


8954 


9061 


9167 


9274 


9381 


9488 


107 


407 


9594 


9701 


9808 


9914 


..21 


.128 


.234 


.341 


.447 


.554 


107 


40S 


610660 


0767 


0873 


0979 


1086 


1192 


1298 


1405 


1511 


1617 


106 


409 
410 


1723 


1829 
2890 


1936 
2996 


2042 


2148 


2254 
3313 


2360 
3419 


2466 
3525 


2572 


2678 
3736 


106 
106 


612784 


3102 


3207 


3630 


411 


3842 


3947 


4053 


4159 


4264 


4370 


4475 


4.581 


4686 


4792 


106 


412 


4897 


5003 


5108 


.5213 


5319 


5424 


5529 


5634 


5740 


5845 


105 


413 


5950 


6055 


6160 


6265 


6370 


6476 


6.581 


6686 


6790 


6895 


105 


414 


7000 


7105 


7210 


7315 


7420 


7525 


7629 


7734 


7839 


7943 


105 


415 


8048 


8153 


8257 


8362 


8466 


8571 


8676 


8780 


8884 


8989 


105 


416 


9093 


9198 


9302 


9106 


9511 


9615 


9719 


9824 


9928 


..32 


104 


417 


620136 


0240 


0344 


0448 


0552 


0656 


0760 


0864 


0968 


1072 


104 


418 


1176 


1280 


1384 


1488 


1.592 


1695 


1799 


1903 


2007 


2110 


104 


419 
420 


2214 


2318 


2421 
3456 


2525 
3559 


2628 
3663 


2732 


2835 


2939 


3042 


3146 


104 
103 


623249 


3353 


3766 


3869 


3973 


4076 


4179 


421 


4282 


4385 


4488 


4591 


4695 


4798 


4901 


5004 


5107 


5210 


103 


422 


5312 


5415 


5518 


5621 


5724 


5827 


5929! fi032 


6135 


6238 


103 


423 


6340 


6443 


6546 


6648 


6751 


6853 


6956 7058 


7161 


7263 


103 


424 


7366 


7468 


7571 


7673 


7775 


7878 


7980 8082 


8185 


8287 


102 ■ 


425 


8389 


8491 


8593 


8695 


8797 


8900 


9002 9104 


9206 


9308 


192 


426 


9410 


■9512 


9613 


9715 


9817 


9919 


..211 .123 


.224 


.326 


102 


427 


630428 


0530 


0G31 


0733 


0835 


0936 


1038 


1139 


1241 


1342 


102 


428 


1444 


1545 


1647 


1748 


1849 


1951 


2052 


21.53 


2255 


2356 


101 


4^'.9 
430 


2457 


2559 
J569 


2660 
3670 


2761 


2862 


2963 


3064 


3165 
4175 


3266 
4276 


3367 


101 
100 


633468 


3771 


3872 


3973 


4074 


4376 


431 


4477 


4578 


4679 


4779 


4880 


4981 


5081 


5182 


5283 


53831 100 1 


432 


5484 


5584 


5685 


5785 


5886 


5986 


6087 


6187 


6287 


6388 


100 


433 


6488 


6588 


6688 


6789 


6889 


6989 


7089 


7189 


7290 


7390 


100 


434 


7490 


7590 


7690 


7790 


7890 


7990 


8090 


8190 


8290 


8389 


99 


435 


8489 


8589 


8689 


8789 


8888 


8988 


9088 


9188 


9287 


9387 


99 


436 


9486 


9586 


9686 


9785 


9885 


9984 


..84 


.183 


.283 


.382 


99 


437 


640481 


0581 


0680 


0779 


0879 


0978 


1077 


U77 


1276 


1375 


99 


438 


1474 


1573 


1672 


1771 


1871 


1970 


2069 


2168 


2267 


2366 


99 


439 
440 


2465 


2563 
3551 


2662 
3650 


2761 
3749 


2860 


2959 
3946 


3058 


3156 


3255 


3354 

4340 


99 
98 


643453 


3847 


4044 


4143 


4242 


441 


4439 


4537 


4636 


4734 


4832 


4931 


.5029 


5127 


5226 


5324 


98 


442 


5422 


5521 


5619 


5717 


5815 


5913 


6011 


6110 


6208 


6306 


98 


443 


6404 


6502 


6600 


6698 


6796 


6894 


6992 


7089 


7187 


7285 


98 


444 


7383 


7481 


7579 


7676 


7774 


7872 


7969 


8067 


8165 


8262 


98 


445 


8360 


8458 


8555 


8653 


8750 


8848 


8945 


9043 


9140 


9237 


97 


446 


9335 


9432 


9530 


9627 


9724 


9821 


9919 


.,16 


.113 


.210 


97 


447 


650306 


0405 


0,502 


0.599 


0696 


0793 


0890 


0987 


1084 


1181 


97 


448 


1278 


1375 


1472 


1509 


1666 


1762 


1859 


19.56 


2053 


21.50 


97 


449 
450 


2246 
653213 


2343 
3309 


2440 
3405 


2.536 


2633 


2730 
3695 


2826 


2923 


3019 


3116 


97 
96 


3.502 


3598 


3791 


3888 


3984 


4080 


451 


4177 


4273 


4369 


4465 


4562 


4658 


4754 


4850 


4946 


5042 


96 


452 


5138 


5235 


5331 


5427 


.5523 


.5619 


.5715 


.5810 


.5906 


6002 


96 


453 


6098 


6194 


6290 


6386 


6482 


6577 


6673 


6769 


6864 


6960 


96 


454 


7050 


7152 


7247 


7343 


7438 


7534 


7629 


7725 


7820 


7916 


96 


455 


8011 


8107 


8202 


8298 


8393 


8488 


8,584 


8679 


8774 


8870 


95 


456 


8965 


9060 


9155 


9250 


9.346 


9441 


95.36 


9631 


9726 


9821 


95 


457 


9916 


..11 


.106 


.201 


.296 


.391 


.486 


..581 


.676 


.771 


95 


458 


660865 


0960 


10.55 


1150 


1245 


1339 


1434 


1529 


1623 


1718 


95 


459 


1813 


1907 


2002 


2096 


2191 


2280 


2380 


2475 


2569 


2663 


95 


JJ^ 


1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1 D. J 



8 


A TABLE OF LOGARITHMS FROM 1 TO 10,000. 






N. 


;i|2|3|4l5|6|7l8|9 


D. 


460 


662758 


2852 


2947 3041, 3135i 3230, 3324,34181 


3512| 3607 


94 


461 


3701 


3795 


3889 39831 


4078 


4172 


4266 


4360 


4454 


4548 


94 


462 


4642 


4736 


4830 


4924 


6018 


5112 


6206 


6299 


6393 


5487 


94 


463 


5581 


5675 


6769 


6862 


6956 


6060 


6143 


6237 


6331 


6424 


94 


464 


6618 


6612 


6706 


6799 


6892 


6986 


7079 


7173 


7266 


7360 


94 


165 


7453 


7546 


7640 


7733 


7826 


7920 


8013 


8106 


8199 


8293 


93 


466 


8386 


8479 


8672 


8666 


8769 


8862 


8946 


9038 


9131 


9224 


93 


467 


9317 


9410 


9603 


9696 


9689 


9782 


9876 


9967 


..60 


.163 


93 


468 


670241 


0339 


0431 


0624 


0617 


0710 


0802 


0895 


0988 


1080 


93 


469 
470 


1173 
672098 


1265 


1358 


1451 
2375 


1643 


1636 
2660 


1728 
2662 


1821 
2744 


1913 


2006 
2929 


93 

92 


2190 


2283 


2467 


2836 


471 


3021 


3113 


3205 


3297 


3390 


3482 


3674 


3666 


3768 


3860 


92 


472 


3942 


4034 


4126 


4218 


4310 


4402 


4494 


4586 


4677 


4769 


92 


473 


4861 


4953 


5046 


6137 


6228 


5320 


6412 


6503 


5696 


.5687 


92 


474 


6778 


5870 


6962 


6053 


6145 


6236 


6328 


6419 


6611 


6602 


92 


475 


6694 


6785 


6876 


6968 


7069 


7161 


7242 


7333 


7424 


7516 


91 


476 


7607 


7698 


7789 


7881 


7972 


8063 


8154 


8246 


8336 


8427 


91 


477 


8518 


8609 


8700 


8791 


8882 


8973 


9064 


9156 


9246 


9337 


91 


478 


9428 


9519 


9610 


9700 


9791 


9882 


9973 


..63 


.164 


.246 


91 


479 

480 


680336 
681241 


0426 
1332 


0517 
1422 


0607 


0698 
1603 


0789 


0879 


0970 


1060 
1964 


1151 
2056 


91 
90 


1513 


1693 


1784 


1874 


481 


2146 


2235 


2326 


2416 


2506 


2696 


2686 


2777 


2867 


2967 


90 


482 


3047 


3137 


3227 


3317 


3407 


3497 


3587 


3677 


3767 


3867 


90 


483 


3947 


4037 


4127 


4217 


4307 


4396 


4486 


4676 


4666 


4766 


90 


484 


4845 


4935 


6026 


5114 


6204 


6294 


5383 


5473 


6563 


5652 


90 


485 


5742 


5831 


6921 


6010 


6100 


6189 


6279 


6368 


6468 


6547 


89 


486 


6636 


6726 


6815 


6904 


6994 


7083 


7172 


7261 


7351 


7440 


89 


487 


7529 


7618 


7707 


7796 


7886 


7975 


8064 


8153 


8242 


8331 


89 


488 


8420 


8509 


8598 


8687 


8776 


8865 


8953 


9042 


9131 


9220 


89 


489 
490 


9309 


9398 

0285 


9486 
0373 


9676 


9664 


9753 
0639 


9841 


9930 
0816 


..19 


.107 
0993 


89 
-89 


690196 


0462 


0660 


0728 


0906 


491 


1081 


1170 


1258 


1347 


1435 


1624 


1612 


1700! 1789 


1877 


88 


492 


1965 


2053 


2142 


2230 


2318 


2406 


2494 


2583 


2671 


2759 


88 


493 


2847 


2936 


3023 


3111 


3199 


3287 


3376 


3463 


3551 


3639 


88 


494 


3727 


3816 


3903 


3991 


4078 


4166 


4254 


4342 


4430 


4517 


88 


495 


4605 


4693 


4781 


4868 


4966 


6044 


6131 


5219 


5307 


5394 


88 


496 


5482 


6569 


5657 


6744 


6832 


6919 


6007 


6094 


6182 


6269 


87 


497 


6356 


6444 


6531 


6618 


6706 


6793 


6880 


6968 


7066 


7142 


87 


498 


7229 


7317 


7404 


7491 


7678 


7665 


7752 


7839 


7926 


8014 


87 


499 
500 


8101 


8188 


8276 
9144 


8362 


8449 
9317 


8535 


8622 
9491 


8709 
9578 


8796 j 8883 


87 
87 


698970 


9057 


9231 


9404 


9664 


9751 


501 


9838 


9924 


..11 


..98 


.184 


.271 


.368 


.444 


.631 


.817 


87 


502 


700704 


0790 


0877 


0963 


1050 


1136 


1222 


1309 


1395 


1482 


86 


503 


1568 


1654 


1741 


1827 


1913 


1999 


2086 


2172 


2268 


2344 


86 


504 


2431 


2517 


2603 


2689 


2775 


2861 


2947 


303313119 


3206 


86 


505 


3291 


3377 


3463 


3549 


3635 


3721 


n807 


3896 


3979 


4065 


86 


596 


4161 


4236 


4322 


4408 


4494 


4679 


4666 


4751 


4837 


4922 


86 


507 


5008 


5094 


6179 


6265 


6350 


.5436 


5522 


5607 


5693 


5778 


86 


508 


5864 


5949 


6036 


6120 


6206 


6291 


6376 


6462 


6547 


6632 


85 


509 
510 


6718 


6803 


6888 


6974 


7069 
7911 


7144 
7996 


2229 
8081 


7315 
8166 


7400 

8261 


7485 


85 

86 


707570 


7656 


7740 


7826 


8336 


511 


8421 


8506 


8691 


8676 


8761 


8846 


8931 


9015 


9100 


9185 


86 


512 


9270 


9355 


9440 


9624 


9609 


9694 


9779 


9863 


9948 


..33 


85 


513 


710117 


0202 


0287 


0371 


0466 


0540 


0625 


0710 


0794 


0879 


85 


514 


0963 


1048 


1132 


1217 


1301 


1385 


1470 


1654 


1639 


1723 


84 


515 


1807 


1892 


1976 


2060 


2144 


2229 


2313 


2397 


2481 


2566 


84 


516 


2650 


2734 


2818 


2902 


2986 


3070 


3164 


3238 


3323 


3407 


84 


517 


3491 


3675 


3650 


3742 


3826 


3910 


3994 


4078 


4162 


4246 


84 


518 


4330 


4414 


4497 


4581 


4665 


4749 


4833 


4916 


5000 


6084 


84 


519 


6167' 5251 


5335' 5418 


5502 


6586 


5669 


5763' 68361 5920 


84 


N. 


|l|2|3l4|5|6|7l8|9 


D. 





A TABLE OF LOGARITHMS FROM 1 


TO 10,000 




9 


N. 


1 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1. D. I 


520 


716003 


6087 


.6170 


62.54 


6337 


6421 


6504 


6588 


66711 6754 


8.3 


521 


6838 


6921 


7004 


7088 


7171 


7254 


7338 


7421 


7504 


7587 


83. 


522 


7671 


7754 


7837 


7920 


8003 


8086 


8169 


8253 


8336 


8419 


83 


523 


8502 


8585 


8668 


8751 


8834 


8917 


9000 


9083 


916.5 


9248 


83 


524 


9331 


9414 


9497 


9580 


9663 


9745 


9828 


9911 


9994 


..77 


83 


525 


720159 


0242 


0325 


0407 


0490 


0573 


0655 


0738 


0821 


0903 


83 


526 


0986 


1068 


1151 


1233 


1316 


1398 


1481 


1563 


1646 


1728 


82 


527 


1811 


1893 


1975 


2058 


2140 


2222 


2305 


2387 


2469 


2552 


82 


528 


2634 


2716 


2798 


2881 


2963 


3045 


3127 


3209 


3291 


3374 


82 


529 
530 


3456 
724276 


3538 
4358 


3620 


3702 


3784 
4604 


3866 
4685 


3948 
4767 


4030 

4849 


4112 
4931' 


4194 
5013 


82 
82 


4440 


4522 


531 


5095 


5176 


5258 


5340 


5422 


5503 


5585 


5667 


5748 


5830 


82 


532 


5912 


5993 


6075 


6156 


6238 


6320 


6401 


6483 


6564 


6646 


82 


533 


6727 


6809 


6890 


6972 


7053 


7134 


7216 


7297 


7379 


7460 


81 


531 


7541 


7623 


7704 


7785 


7866 


7948 


8029 


8110 


8191 


8273 


81 


535 


8354 


8435 


8516 


8597 


8678 


8759 


8841 


8922 


9003 


9084 


81 


53(3 


9165 


9246 


9327 


9408 


9489 


9570 


9651 


9732 


9813 


9893 


81 


537 


9974 


..55 


.136 


.217 


.298 


.378 


.459 


•540 


.621 


.702 


81 


538 


730782 


0863 


0944 


1024 


1105 


1186 


1266 


1347 


1428 


1508 


81 


539 
540 


1589 


1069 


1750 
2555 


1830 


1911 


1991 


2072 


2152 
2956 


2233 
3037 


2313 


81 
80 


732394 


2474 


2635 


2715 


2796 


2876 


3117 


541 


3197 


3278 


3358 


3438 


3518 


3598 


3679 


3759 


3839 


3919 


80 


542 


3999 


4079 


4160 


4240 


4320 


4400 


4480 


4560 


4640 


4720 


80 


543 


4800 


4880 


4960 


5040 


5120 


5200 


5279 


5359 


5439 


5519 


80 


544 


5599 


5679 


5759 


5838 


5918 


5998 


6078 


6157 


6237 


6317 


80 


545 


6397 


6476 


6556 


6635 


6715 


6795 


6874 


6954 


7034 


7113 


80 


546 


7193 


7272 


7352 


7431 


7511 


7590 


7670 


7749 


7829 


7908 


79 


547 


7987 


8067 


8146 


8225 


8305 


8384 


8463 


8543 


8622 


8701 


79 


548 


8781 


8860 


8939 


9018 


9097 


9177 


9256 


9335 


9414 


9493 


7» 


549 
550 


9572 


9651 
0442 


9731 
0521 


9810 


9889 
0678 


9968 


..47 


.126 


.205 
0994 


.284 
1073 


79 
79 


740363 


0600 


0757 


0836 


0915 


551 


1152 


1230 


1309 


1388 


1467 


1546 


1624 


1703 


1782 


1860 


79 


552 


1939 


2018 


2096 


2175 


2254 


2332 


2411 


2489 


2568 


2646 


79 


553 


2725 


2804 


2882 


2961 


3039 


3118 


3196 


3275 


3353 


3431 


78 


554 


3510 


3588 


3667 


3745 


3823 


3902 


3980 


4058 


4136 


4215 


78 


555 


4293 


4371 


4449 


4528 


4606 


4684 


4762 


4840 


4919 


4997 


78 


556 


5075 


5153 


5231 


5309 


5387 


5465 


5543 


5621 


6G99 


5777 


78 


557 


5855 


5933 


6011 


6089 


6167 


6245 


6323 


6401 


6479 


6556 


78 


558 


6634 


6712 


6790 


6868 


6945 


7023 


7101 


7179 


7256 


7334 


78 


559 
560 


7412 


7489 
8266 


7567 
8343 


7645 


7722 
8498 


7800 
8576 


7878 


7955 


8033 

8808 


8110 


78 
77 


748188 


8421 


8653 


8731 


8885 


561 


8963 


9040 


9118 


9195 


9272 


9350 


9427 


9504 


9582 


9659 


77 


562 


9736 


9814 


9891 


9968 


..45 


.123 


.200 


.277 


.354 


,431 


77 


563 


750508 


0586 


0663 


0740 


0817 


0894 


0971 


1048 


1125 


1202 


.77 


564 


1279 


1356 


1433 


1510 


1587 


1664 


1741 


1818 


1895 


1972 


77 


565 


2048 


2125 


2202 


2279 


2356 


2433 


2509 


2586 


2663 


2740 


77 


566 


2816 


2893 


2970 


3047 


3123 


3200 


3277 


3353 


3430 


3506 


77 


567 


3583 


3660 


3736 


3813 


3889 


3966 


4042 


4119 


4195 


4272 


77 


568 


4348 


4425 


4501 


4578 


4654 


4730 


4807 


4883 


4960 5036 


76 


569 
570 


5112 


5189 
5951 


5265 
6027 


5341 
6103 


5417 


5494 
6256 


5570 
6332 


5646 
640§ 


5722 
6484 


5799 
6560 


76 
76 


755876 


6180 


571 


6636 


6712 


6788 


6864 


6940 


7016 


7092 


7168 


7244 


7320 


76 


572 


7396 


7472 


7548 


7624 


7700 


7775 


7851 


7927 


8003 


8079 


76 


573 


8155 


8230 


8306 


8382 


8458 


8533 


8609 


8685 


8761 


8836 


76 


574 


8912 


8988 


9063 


91.39 


9214 


9290 


9366 


9441 


9517 


9592 


76 


575 


9668 


9743 


9819 


9894 


9970 


..45 


.121 


.196 


.272 


.347 


75 


576 


760422 


0498 


0573 


0649 


0724 


0799 


0875 


0950 


1025 


1101 


75 


577 


1176 


1251 


1326 


1402 


1477 


1552 


1627 


1702 


1778 


1853 


75 


578 


1928 


2003 


2078 


2153 


2228 


2303 


2378 


2453 


25291 2604 


75 


579 


2679 


2754 


2829 


2904 


•^y78 


3053 


3128 


8203 


32781 3353 


75 


N. 


1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 y 1 D. 1 



10 


A TABLE OF J 


tiOGAKlTHMS FROM 1 TO 10,000. 






N. 


1 |lf3|3|4|5|6|7|8|9|D. 1 


580 


76342S 


) 350S 


35 7^ 


,3653 


3727 


3802 


3877, 3952 


4027 


4101 


75 


581 


4l7f 


4251 


432f 


|440(J 


4475 


4550 


462^ 


4699 


4774 


4848 


75 


582 


492S 


4998 


507S 


5147 


5221 


5296 


537C 


5445 


5520 


5594 


75 


583 


566S 


5743 


5818 


5892 


5966 


0041 


61 If 


619( 


626^ 


6338 


74 


584 


6413 


6487 


6562 


6636 


6710 


6785 


6858 


6933 


7007 


7082 


74 


585 


7156 


723( 


730^ 


7379 


7453 


7527 


7601 


7675 


7749 


7823 


74 


586 


7898 


7972 


8046 


8120 


8194 


8268 


8342 


8416 


8490 


8564 


74 


587 


8638 


8712 


8786 


8860 


8934 


9008 


9082 


9156 


9230 


9303 


74 


588 


9377 


9451 


9525 


9599 


9673 


9746 


982(J 


9894 


9968 


..42 


74 


589 
590 


770115 


0189 
0926 


0263 
0999 


0336 
1073 


0410 
1146 


0484 
1220 


0557 

1293 


0631 
1367 


0705 
1440 


0778 
1514 


74 
74 


770852 


591 


1587 


1661 


1734 


1808 


1881 


1955 


1 2028 


2102 


2175 


2248 


73 


592 


2322 


2395 


2468 


2542 


2615 


2688 


2762 


2835 


2908 


2981 


73 


593 


3055 


3128 


3201 


3274 


3348 


3421 


349^ 


3567 


364C 


3713 


73 


594 


3786 


3860 


3933 


4006 


4079 


14152 


4225 


4298 


4371 


4444 


73 


595 


4517 


4590 


4663 


4736 


4809 


4882 


4955 


5028 


5100 


5173 


73 


596 


5246 


531,9 


5392 


5465 


5538 


5610 


5683 


5756 


5829 


5902 


73 


597 


5974 


6047 


6120 


6193 


6265 


6338 


6411 


6483 


6.556 


6629 


73 


598 


6701 


6774 


6846 


6919 


6992 


7064 


7137 


7209 


7282 


7354 


73 


599 
600 


7427 


7499 

8224 


7572 
8296 


7644 


7717 
8441 


7789 


7862 
8585 


7934 

8658 


8006 
8730 


8079 
8802 


72 
72 


778151 


8368 


8513 


601 


8874 


8947 


9019 


9091 


9163 


9236 


9308 


9380 


9452 


9524 


72 


602 


9596 


9669 


9741 


9813 


9885 


9957 


..29 


.101 


.173 


.245 


72 


603 


780317 


0389 


0461 


0533 


0605 


0677 


0749 


0821 


0893 


0965 


72 


604 


1037 


1109 


1181 


1253 


1324 


1396 


1468 


1540 


1612 


1684 


72 


605 


1755 


1827 


1899 


1971 


2042 


2114 


2186 


2258 


2329 


2401 


72 


606 


2473 


2544 


2616 


2688 


2759 


2831 


2902 


2974 


3046 


3117 


72 


607 


3189 


3260 


3332 


3403 


3475 


3546 


3618 


36S9 


3761 


3832 


71 


608 


3904 


3975 


4046 


4118 


4189 


4261 


4332 


4403 


4475 


4546 


71 


609 

610 


4617 


4689 


4760 


4831 
5543 


4902 
5615 


4974 


5045 


5116 

5828 


5187 


5259 


71 
71 


795330 


5401 


5472 


5686 


5757 


5899 


5970 


611 


6041 


6112 


6181? 


6254 


6325 


6396 


6467 


6538 


6609 


6680 


71 


612 


6751 


6822 


6893 


(5964 


7035 


7106 


7177 


7248 


7319 


7390 


71 


613 


7460 


7531 


7602 


7673 


7744 


7815 


78S5 


7956 


8027 


8098 


71 


614 


8168 


8239 


8310 


8381 


8451 


8522 


8593 


8663 


8734 


8804 


71 


615 


8875 


8946 


9016 


9087 


9157 


9228 


9299 


9369 


9440 


9510 


71 


616 


9581 


9651 


9722 


9792 


9863 


9933 


...4 


..74 


.144 


.215 


70 


617 


790285 


0356 


0426 


0496 


0567 


0637 


0707 


0778 


0848 


0918 


70 


618 


0988 


1059 


1129 


1199 


1269 


1340 


1410 


1480 


1.550 


1620 


70 


619 
620 


1691 


1761 


1831 


1901 


1971 


2041 


2111 
2812 


2181 


2252 


2322 
3022 


70 


792392 


2462 


2532 


2602 


2672 


2742 


2882 


2952 


70 


621 


3092 


3162 


3231 


3301 


3371 


3441 


3511 


3581 


3651 


3721 


70 


622 


3790 


3860 


3930 


4000 


4070 


4139 


4209 


4279 


4349 


4418 


70 


623 


4488 


4558 


4627 


4697 


4767 


4836 


4906 


4976 


5045 


5115 


70 


624 


5185 


5254 


5324 


5393 


5463 


5532 


5602 


5672 


5741 


5811 


70 


625 


5880 


5949 


6019 


6088 


6158 


6227 


6297 


6366 


6436 


6505 


69 


626 


6574! 


6644 


6713 


6782 


6852 


6921 


6990 


7060 


7129 


7198 


69 


627 


7268 


7337 


7406 


7475 


7545 


7614 


7683 


7752 


7821 


7890 


69 


628 


7960 


8029 


8098 


8167 


8236 


8305 


8374 


8443 


8513 


8582 


69 


629 
630 


8651 


8720 


8789 
9478 


8858 
9547 


8927 
9616 


8996 
9685 


9065 
9754 


9134 
9823 


9203 


9272 
9961 


69 
69 


799341 


9409 


9892 


631 


800029 


0098 


0167 


0236 


0305 


0373 


0442 


0511 


0580 


0648 


69 


632 


0717 


0786 


0854 


0923 


0992 


1061 


1129 


1198 


1266 


1335 


69 


633 


1404 


1472 


1541 


1609 


1678 


1747 


1815 


1884 


1952 


2021 


69 


634 


2089 


2158 


2226 


2295 


2363 


2432 


2500 


2568 


2637 


2705 


69 


635 


2774 


2842 


2910 


2979 


3047 


3116 


3184 


3252 


3321 


3389 


68 


636 


3457 


3525 


3594 


3662 


3730 


3798 


3867 


3935 


4003 


4071 


68 


637 


4139 


4208 


4276 


4344 


4412 


4480 


4548 


4616 


4685 


4753 


68 


638 


4821 


4889 


4957 


5025 


5093 


5161 


5229 


52y7 


5365 


6433 


68 


639 


5501 


5569 


5637 


5705 57731 


5841 59081 


59^6 60441 


6112 68 1 


^ 


|l|2|3|4|5|6l7|8|9| 


D.I 





A TABLE OF LOGARITHMS FROM 1 TO 10,000. 




11 


N. 


1 1 1 1 2 1 8 1 4 1 6 1 6 1 7 1 8 1 9 1 D. j 


640 


806180 


6248 


6316 


6384 


6451 


6619 


6587 


6655 6723 


6790 


68 


641 


6858 


6926 


6994 


7061 


7129 


7197 


7264 


7332 


7400 


7467 


68 


642 


7535 


7603 


7670 


7738 


7806 


7873 


7941 


8008 


8076 


8143 


68 


643 


8211 


8279 


8346 


8414 


8481 


85-19 


8616 


8684 


8751 


8818 


67 


644 


8886 


8953 


9021 


9088 


9156 


9223 


9290 


9368 


9425 


9492 


67 


645 


9560 


9627 


9694 


9762 


9829 


9896 


9964 


..31 


..98 


.165 


67 


646 


810233 


0300 


0367 


0434 


0501 


0669 


0636 


0703 


0770 


0837 


67 


647 


0904 


0971 


1039 


1106 


1173 


1240 


1307 


1374 


1441 


1508 


67 


648 


1575 


1642 


1709 


1776 


1843 


1910 


1977 


2044 


2111 


2178 


67 


649 
650 


2245 


2312 
2980 


2379 


2446 
3114 


2512 


2579 
3247 


2646 


2713 
3381 


2780 


2847 
3514 


67 
67 


812913 


3047 


3181 


3314 


3448 


651 


3581 


3648 


3714 


3781 


3848 


3914 


3981 


4048 


4114 


4181 


67 


652 


4248 


4314 


4381 


4447 


4514 


4581 


4647 


4714 


4780 


4847 


67 


653 


4913 


4980 


5046 


5113 


5179 


6246 


5312 


5378 


5446 


5511 


66 


654 


5578 


5644 


5711 


57>7 


5843 


5910 


5976 


6042 


6109 


6175 


66 


655 


6241 


6308 


6374 


6440 


6606 


6673 


6639 


6705 


6771 


6838 


66 


656 


6904 


6970 


7036 


7102 


7169 


7236 


7301 


7367 


7433 


7499 


66 


657 


7565 


7631 


7698 


7764 


7830 


7896 


7962 


8028 


8094 


8160 


66 


658 


8226 


8292 


8358 


8424 


8490 


8556 


8622 


8688 


8764 


8820 


66 


659 
660 


8885 


8951 


9017 
9676 


9083 
9741 


9149 


9216 
9873 


9281 


9346 


9412 


9478 
.136 


66 
66 


819544 


9610 


9807 


9939 


...4 


..70 


661 


820201 


0267 


0333 


0399 


0464 


0530 


0595 


0661 


0727 


0792 


66 


662 


0858 


0924 


0989 


1055 


1120 


1186 


1261 


1317 


1382 


1448 


66 


663 


1514 


1579 


1645 


1710 


1776 


1841 


1906 


1972 


2037 


2103 


66 


664 


2168 


2233 


2299 


2364 


2430 


2496 


2560 


2626 


2691 


2756 


66 


665 


2822 


2887 


2952 


3018 


3083 


3148 


3213 


3279 


3344 


3409 


65 


666 


3474 


3539 


3605 


3670 


3735 


3800 


3866 


3930 


3996 


4061 


65 


667 


4126 


4191 


4256 


4321 


4386 


4451 


4616 


4581 


4646 


4711 


65 


068 


4776 


4841 


4906 


4971 


5036 


5101 


5166 


5231 


6296 


5361 


65 


669 
670 


5426 


6491 


6556 


6621 


5686 
63.34 


.5761 
6399 


5815 
6464 


5880 


6945 
6593 


6010 
6658 


65 
65 


826075 


6140 


6204 


6269 


6528 


671 


6723 


6787 


6852 


6917 


6981 


7046 


7111 


7176 


7240 


7305 


65 


672 


7369 


7434 


7499 


7563 


7628 


7692 


7757 


7821 


7886 


7961 


65 


073 


8015 


8080 


8144 


8209 


8273 


8338 


8402 


8467 


8531 


8595 


64 


674 


8660 


8724 


8789 


8853 


8918 


8982 


9046 


9111 


9175 


9239 


64 


675 


9304 


9368 


9432 


9497 


9561 


9626 


9690 


9764 


9818 


9882 


64 


676 


9947 


..11 


..75 


.139 


.204 


.268 


.332 


•396 


.460 


.525 


64 


677 


830589 


0653 


0717 


0781 


0846 


0909 


0973 


1037 


1102 


1166 


64 


678 


1230 


1294 


1358 


1422 


1486 


1550 


1614 


1678 


1742 


1806 


64 


679 
680 


1870 


1934 
2573 


1998 


2062 
2700 


2126 


2189 
2828 


2253 
2892 


2317 


2381 
3020 


2445 


64 
64 


832509 


2637 


2764 


2956 


3083 


681 


3147 


3211 


3275 


3338 


3402 


3466 


3530 


3593 


3657 


3721 


64 


682 


3784 


3848 


3912 


3976 


4039 


4103 


4166 


4230 


4294 


4367 


64 


683 


4421 


4484 


4548 


4611 


4675 


4739 


4802 


4866 


4929 


4993 


64 


684 


5056 


5120 


5183 


5247 


6310 


6373 


5437 


6500 


6564 


5627 


63 


685 


5691 


5754 


5817 


5881 


6944 


6007 


6071 


6134 


6197 


6261 


63 


686 


6324 


6387 


6451 


6614 


6577 


6641 


6704 


6767 


6830 


6894 


63 


687 


6957 


7020 


7083 


7146 


7210 


7273 


7336 


7399 


7462 


7526 


63 


688 


7588 


7652 


7715 


7778 


7841 


7904 


7967 


8030 


8093 


81.66 


63 


689 
690 


8219 


8282 


8346 
8975 


8408 
9038 


8471 


8534 
9164 


8597 


8660 
9289 


8723 


8786 


63 
63 


838849 


8912 


9101 


9227 


9362 


9416 


691 


9478 


9541 


9604 


9667 


9729 


9792 


9866 


9918 


9981 


..43 


63 


692 


840106 


0169 


0232 


0294 


0367 


0420 


0482 


0546 


0608 


0671 


63 


693 


0733 


0796 


0869 


0921 


0984 


1046 


1109 


1172 


1234 


1297 


63 


694 


1359 


1422 


1485 


1547 


1610 


1672 


1736 


1797 


1860 


1922 


63 


695 


1985 


2047 


2110 


2172 


2235 


2297 


2360 


2422 i 2484 


2647 


62 


696 


2609 


2672 


2734 


2796 


2869 


2921 


2983 


30461 3108 


3170 


62 


697 


3233 


3295 


3357 


3420 


3482 


3544 


3606 


3669; 3731 


3793 


62 


698 


3855 


3918 


3980 


4042 


4104 


4166 


4229 


4291143.63 


4415 


62 


699 


4477 


4539 


4601 


4664 


4726 


4788 


4850 


49121 4974 6036 


62 


_N- 


ll!2|3|4|5|6!7|8l9|D. 1 



12 


A tABLE 6F LOGABITHMS FROM 1 


TO I 


0,000 


, 




"n" 


1 I 1 1 2 1 3 i 4 i 5 1 6 1 7 1 8 1 9 I D. j 


700 


845098 


5160. 5222 


i, 5284 


5346 


5408 


5470 


5532 


55941 5656 


62 


701 


5718 


5780 5842 


15904 


5966 


6028 


6090 


6151 


6213 


6275 


62 


702 


6337 


6399 


6461 


' 6523 


6585 


6646 


6708 


6770 


6832 


6894 


62 


703 


6955 


7017 


7079 


7141 


7202 


7264 


7320 


7388 


7449 


7511 


62 


704 


7573 


7634 


7696 


7758 


7819 


7881 


7943 


8004 


8066 


8128 


62 


705 


8189 


8251 


8312 


8374 


8435 


8497 


8559 


8620 


8682 


8743 


62 


706 


8805 


8866 


S928 


8989 


9051 


9112 


9174 


9235 


9297 


9358 


61 


707 


9419 


9-181 


9542 


9604 


9665 


9726 


9788 


9849 


9911 


9972 


61 


708 


850033 


0095 


0156 


0217 


0279 


0340 


0401 


0462 


0524 


0585 


61 


709 
710 


0646 
851258 


0707 
1320 


0769 
1381 


0830 
1442 


0891 
1503 


0952 


1014 
1625 


1075 
1686 


1136; 1197 
1747! 1809 


61 
61 


1564 


711 


1870 


1931 


1992 


2053 


2114 


2175 


2236 


2297 


2.3.58 12419 


61 


712 


2480 


2541 


2602 


2663 


2724 


2785 


2846 


2907 


2968 


3029 


61 


713 


3090 


3150 


3211 


3272 


3333 


3394 


3455 


3516 


3577 


3637 


61 


714 


3698 


3759 


3820 


3881 


3941 


400« 


40G3 


4124 


4185 


4245 


61 


715 


4306 


4367 


4428 


4488 


4549 


4610 


4670 


4731 


4792 


4852 


61 


716 


4913 


4974 


5034 


5095 


5156 


5216 


5277 


5337 


5398 


5459 


61 


717 


5019 


55S0 


5640 


5701 


5761 


5822 


5882 


5943 


6003 6064 


61 


718 


6124 


6185 


6245 


6306 


6366 


6427 


6487 


6548 


6608 


6668 


60 


719 


6729 


6789 


6850 


6910 


6970 


7031 


7091 


7152 


7212 


7272 


60 


720 


857332 


7393 


7453 


7513 


7574 


7634 


7694 


7755 


7815 


7875 


60 


721 


7935 


7995 


8056 


8116 


8176 


8236 


8297 


8357 


8417 


8477 


60 


722 


8537 


S597 


8657 


8718 


8778 


8838 


s^gq 


^95^ 


9018 


9078 


60 


723 


9138 


9198 


9253 


9318 


9379 


9439 


9499 


9559 


9619 


9679 


60 


724 


9739 


9799 


9859 


9918 


9978 


..38 


..98 


.158 


.218 


.278 


60 


725 


860338 


039S 


0458 


0518 


0578 


0637 


0697 


0757 


0817 


0877 


60 


726 


0937 


0996 


1056 


1116 


1176 


1236 


1295 


1355 


1415 


1475 


60 


727 


1534 


1594 


1654 


1714 


1773 


1833 


1893 


1952 


2012 


2072 


60 


728 


2131 


2191 


2251 


2310 


2370 


2430 


2489 


2.549 


2608, 2668 


60 


729 


2728 


2787 


2847 


2906 


2966 


3025 


3085 


3144 


3204! 3263 


60 


730 


863323 


3382 


3442 


3501 


3561 


3620 


3680 


3739 


3799 3858 


59 


731 


3917 


3977 


4036 


4096 


4155 


4214 


4274 


4333 


4392 4452 


59 


732 


4511 


4570 


4630 


4689 


4748 


4808 


4867 


4926 


4985 


5045 


59 


733 


5104 


5163 


5222 


52S2 


5341 


5400 


5459 


.5519 


5578 


5637 


59 


734 


5696 


5755 


5814 


5874 


5933 


5992 


6051 


6110 


6169 


6228 


59 


735 


6287 


6346 


6405 


6465 


6524 


6583 


6642 


6701 


6760 


6819 


59 


736 


6878 


6937 


6996 


7055 


7114 


7173 


7232 


7291 


7350 


7409 


59 


737 


7467 


7526 


7585 


7644 


7703 


7762 


7821 


7880 


7939 


7998 


59 


738 


8056 


8115 


8174 


3233 


8292 


S350 


8409 


8468 


8527 


8586 


59 


739 


8644 


8703 


8762 


8821 


8879 


8938 


8997 


9056 


9114 


9173 


59 


740 


869232 


9290 


9349 


9408 


9466 


9525' 


9584 


9642 


97011 9760 


59 


741 


9818 


9877 


9935 


9994 


..53 


.111 


.170 


.228 


.287 


.345 


59 


742 


870404 


0462 


0521 


0579 


0638 


0696 


0755 


0813 


0872 


0930 


58 


743 


0989 


1047 


1106 


1164 


1223 


1281 


1339 


1398 


1456 


1515 


58 


744 


1573 


1631 


1690 


1748 


1806 


1865 


1923 


1981 


2040 


2098 


58 


745 


2156 


2215 


2273 


2331 


2389 


2448 


2.506 


2564 


26221 2681 


58 


746 


2739 


2797 


2S55 


2913 


2972 


3030 


3088 


3146 


3204' 3262 


58 


747 


3321 


3379 


3437 


3495 


3553 


3611 


3669 


3727 


3785i 3844 


58 


748 


3902 


3960 


4018 


4076 


4134 


4192 


4250 


4308 


4366! 4424 


58 


749 


4482 


4540 


4598 


4656 


4714 


4772 


4830 


4888 


4945 j 5003 


58 


750 


875061 


5119 


5177 


5235 


5293 


5351 


5409 


5466 


5524 


5582 


58 


751 


5640 


5698 


5756 


5313 


5871 


5929 


5987 


6045 


6102 


6160 


53 


752 


6218 


6276 


6333 


6391 


6449 


6507 


6564 


6622 


6680 


6737 


58 


753 


6795 


6853 


6910 


6968 


7026 


7083 


7141 


7199 


7256 


7314 


58 


754 


7371 


7429 


7487 


7544 


7602 


7659 


7717 


7774 


7832 


7889 


58 


755 


7947 


8004 


8062 


8119 


8177 


8234 


8292 


8349 


8407 


8464 


57 


756 


8522 


8579 


8637 


8694 


87.52 


8809 


8866 


8924 


8981 


9039 


57 


757 


9096 


9153 


9211 


9268 


9325 


9383 


9440 


9497 


9555 


9612 


57 


758 


9669 


9726 


9784 


9841 


9898 


99.56 


..13 


..70 


.127 


.185 


57 


759 


880242 


0299 


0356 


0413 


0471 


0528 


0585 


0642 


0699 


0756 


57 


N. 


1 2 3 4 i 5 ^ 6 i 7 i S ! 9 1 D. 1 





A TABLE OF LOGARITHMS FROM 1 


TO 10,000 




13 


N. 


1 |l|2|3|4|5|6|7|8|9|D. 1 


760 


880814 


0871 


0928 


0985 


1042 


1099 


1156 


1213 


1271 


1328 


57 


761 


1385 


1442 


1499 


1556 


1613 


1670 


1727 


1784 


1841 


1898 


57 


762 


1955 


2012 


2069 


2126 


2183 


2240 


2297 


2354 


2411 


2468 


57 


763 


2525 


2581 


2638 


2695 


2752 


2809 


2866 


2923 


2980 


3037 


57 


764 


3093 


3150 


3207 


3264 


3321 


3377 


3434 


3491 


3548 


3605 


57 


765 


3661 


3718 


3775 


3832 


3888 


3945 


4002 


4059 


4115 


4172 


57 


766 


4229 


4285 


4342 


4399 


4455 


4512 


4569 


4625 


4682 


4739 


57 


767 


4795 


4852 


4909 


4965 


5022 


5078 


5135 


5192 


5248 


5305 


57 


768 


5361 


5418 


5474 


5531 


5587 


5644 


5700 


5757 


5813 


5870 


57 


769 
770 


5926 


5983 
6547 


6039 


6096 


6152 
6716 


6209 


6265 


6321 
6885 


6378 
6942 


6434 


56 
66 


886491 


6604 


6660 


6773 


6829 


6998 


771 


7054 


7111 


7167 


7223 


7280 


7336 


7392 


7449 


7505 


7561 


56 


772 


7617 


7674 


7730 


7786 


7842 


7898 


7955 


8011 


8067 


8123 


56 


773 


8179 


8236 


8292 


8348 


8404 


8460 


8516 


8573 


8629 


8685 


56 


774 


8741 


8797 


8853 


8909 


8965 


9021 


9077 


9134 


9190 


9246 


56 


775 


9302 


9358 


9414 


9470 


9526 


9582 


9638 


9694 


9750 


9806 


56 


776 


9862 


9918 


9974 


..30 


..86 


.141 


.197 


.253 


.309 


.365 


56 


777 


890421 


0477 


0533 


0589 


0645 


0700 


0756 


0812 


0868 


0924 


56 


T78 


0980 


1035 


1091 


1147 


1203 


1259 


1314 


1370 


1426 


1482 


56 


779 

780 


1537 


1593 
2150 


1649 


1705 


1760 

2317 


1816 
2373 


1872 
2429 


1928 

2484 


1983 
2540 


2039 
2595 


_56 
56 


892095 


2206 


2262 


781 


2651 


2707 


2762 


2818 


2873 


2929 


2985 


3040 


3096 


3151 


56 


782 


3207 


3262 


3318 


3373 


3429 


3484 


3540 


3595 


3651 


3706 


56 


783 


3762 


3817 


3873 


.3928 


3984 


4039 


4094 


4150 


4205 


4261 


55 


784 


4316 


4371 


4427 


4482 


4538 


4593 


4648 


4704 


4759 


4814 


55 


785 


4870 


4925 


4980 


5036 


5091 


5146 


6201 


5257 


5312 


5367 


55 


786 


5423 


5478 


5533 


5588 


5644 


5699 


5754 


5809 


5864 


5920 


55 


787 


5975 


6030 


6085 


6140 


6195 


6251 


6306 


6361 


6416 


6471 


65 


788 


6526 


6581 


6636 


6692 


6747 


6802 


6857 


6912 


6967 


7022 


65 


789 
790 


7077 
897627 


7132 


7187 
7737 


7242 
7792 


7297 


7352 


7407 


7462 


7517 


7572 


55 
65 


7682 


7847 


7902 


7957 


8012 


8067 


8122 


791 


8176 


8231 


8286 


8341 


8396 


8451 


8506 


8561 


8615 


8670 


55 


792 


8725 


8780 


8835 


8890 


8944 


8999 


9054 


9109 


9164 


9218 


55 


793 


9273 


9328 


9383 


9437 


9492 


9547 


9602 


9656 


9711 


9766 


55 


794 


9821 


9875 


9930 


9985 


..39 


..94 


.149 


.203 


.258 


.312 


65 


795 


900367 


0422 


0476 


0531 


0586 


0640 


0695 


0749 


0804 


0859 


55 


796 


0913 


0968 


1022 


1077 


1131 


1186 


1240 


1295 


1349 


1404 


55 


797 


1458 


1513 


1567 


1622 


1676 


1731 


1785 


1840 


1894 


1948 


54 


798 


2003 


2057 


2112 


2166 


2221 


2275 


2329 


2384 


2438 


2492 


54 


799 
800 


2547 


2601 
3144 


2655 
3199 


2710 
3253 


2764 
3307 


2818 


2873 


2927 
3470 


2981 
3524 


3036 


54 
54 


903090 


3361 


.3416 


3578 


801 


3633 


3687 


3741 


3795 


3849 


3904 


3958 


4012 


4066 


4120 


64 


802 


4174 


4229 


4283 


4337 


4391 


4445 


4499 


4553 


4607 


4661 


64 


803 


4716 


4770 


4824 


4878 


4932 


4986 


5040 


5094 


5148 


5202 


54 


804 


5256 


5310 


5364 


5418 


5472 


5526 


5580 


5634 


5688 


5742 


64 


805 


5796 


5850 


5904 


5958 


6012 


6066 


6119 


6173 


6227 


6281 


54 


806 


6335 


6389 


6443 


6497 


6551 


6604 


6658 


6712 


6766 


6820 


64 


807 


6874 


6927 


6981 


7035 


7089 


7143 


7196 


7250 


7304 


7358 


64 


808 


7411 


7465 


7519 


7573 


7626 


7680 


7734 


7787 


7841 


7895 


64 


809 
810 


7949 
908485 


8002 
8539 


8056 


8110 


8163 


8217 
8753 


8270 
8807 


8324 


8378 
8914 


8431 
8967 


54 
54 


8592 


8646 


8699 


8860 


811 


9021 


9074 


9128 


9181 


9235 


9289 


9342 


9396 


9449 


9503 


54 


812 


9556 


9610 


9663 


9716 


9770 


9823 


9877 


9930 


9984 


..37 


53 


813 


910091 


0144 


0197 


0251 


0304 


0358 


0411 


0464 


0518 


0571 


53 


814 


0624 


0678 


0731 


0784 


0838 


0891 


0944 


0998 


1051 


1104 


53 


815 


1158 


1211 


1264 


1317 


1371 


1424 


1477 


1530 


1584 


1637 


53 


816 


1690 


1743 


1797 


1850 


1903 


1956 


2009 


2063 


2116 


2169 


53 


817 


2222 


2275 


1 2328 


2381 


2435 


2488 


2541 


2591 


2647 


2700 


63 


818 


2753 


2806 2859 


2913 


2966 


3019 


3072 


3125 


3178 


3231 


63 


819 


3284 


3337 3390 


3443 


3496 


3549 


1 3602 


3655 


3708 


3761 


53 


N. 


i 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 1 D. 1 



14 


A TABLE OP LOGARITHMS FHOM 1 TO lOy 


000. 






N. 1 1 1 ! 2 1 3 1 4" 1 5 1 6 1 7 1 8 1 9 1 D. [ 


820 
821 
822 
823 
824 
825 
826 
827 
828 
829 
830 
831 
832 
833 
834 
835 
836 
837 
838 
839 
840 
841 
842 
843 
844 
845 
846 
847 
848 
849 
850 
851 
852 
853 
854 
855 
856 
857 
858 
859 
860 
861 
862 
863 
864 
865 
866 
867 
868 
869 
870 
871 
872 
873 
874 
875 
876 
877 
878 
879 


913814 
4343 
4872 
5400 
5927 
6454 
6980 
7506 
8030 
8555 


3867 
4396 
4925 
5453 
5980 
6507 
7033 
7558 
8083 
8607 


3920 
4449 
4977 
5505 
6033 
6559 
7085 
7611 
8135 
8659 


3973 
4502 
5030 
5558 
6085 
6612 
7138 
7663 
8188 
8712 


4026 
4555 
5083 
5611 
6138 
6664 
7190 
7716 
8240 
8764 


4079 
4608 
5136 
5664 
6191 
6717 
7243 
7768 
8293 
8816 


4132 
4660 
5189 
5716 
6243 
6770 
7295 
7820 
8345 
8869 


4184 
4713 
5241 
5769 
6296 
6822 
7348 
7873 
8397 
8921 
9444 
9967 
0489 
1010 
1530 
2050 
2570 
3089 
3607 
4124 


4237 
4766 
5294 

5822 
6349 
6875 
7400 
7925 
8450 
8973 


4290 
4819 
5347 
5875 
6401 
6927 
7453 
7978 
8502 
9026 


53 
53 
63 
53 
53 
53 
53 
52 
52 
52 
52 
52 
52 
52 
52 
52 
52 
52 
52 
52 
52 
52 
52 
51 
51 
51 
51 
51 
51 
51 
51 
51 
51 
61 
51 
61 
51 
51 
51 
51 
60 
60 
60 
60 
50 
60 
50 
50 
50 
50 
50 
50 
60 
60 
50 
60 
60 
49 
49 
49 


919078 
9601 

920123 
0645 
1166 
1686 
2206 
2725 
3244 
3762 

924279 
4796 
5312 
5828 
6342 
6857 
7370 
7883 
8396 
8908 

929419 
9930 

930440 
0949 
1458 
1966 
2474 
2981 
3487 
3993 


9130 
9653 
0176 
0697 
1218 
1738 
2258 
2777 
3296 
3814 
4331 
4848 
5364 
5879 
6394 
6908 
7422 
7935 
8447 
8959 


9183 
9706 
0228 
0749 
1270 
1790 
2310 
2829 
3348 
3865 


9235 
9758 
0280 
0801 
1322 
1842 
2362 
2881 
3399 
3917 
4434 
4951 
5467 
5982 
6497 
7011 
7524 
8037 
8549 
9061 
9572 
..83 
0592 
1102 
1610 
2118 
2626 
3133 
3639 
4145 
4650 
5154 
5658 
6162 
6665 
7167 
7668 
•8169 
8670 
9170 
9669 
0168 
0666 
1163 
1660 
2157 
2653 
3148 
3643 
4137 


9287 
9810 
0332 
0853 
1374 
1894 
2414 
2933 
3451 
3969 


9340 
9862 
0384 
0906 
1426 
1946 
2466 
2985 
3503 
4021 


9392 
9914 
0436 
0958 
1478 
1998 
2518 
3037 
3555 
4072 


9496 
..19 
0541 
1062 
1582 
2102 
2622 
3140 
3658 
4176 


9549 
..71 
0593 
1114 
1634 
2154 
2674 
3192 
3710 
4228 


4383 
4899 
5415 
5931 
6445 
6959 
7473 
7986 
8498 
9010 


4486 
5003 
5518 
6034 
6548 
7062 
7576 
8088 
8601 
9112 


4538 
5054 
5570 
6085 
6600 
7114 
7627 
8140 
8652 
9163 


4589 
5106 
5621 
6137 
6651 
7165 
7678 
8191 
8703 
9215 
9725 
.236 
0745 
1254 
1763 
2271 
2778 
3285 
3791 
4296 


4641 
5157 
5673 
6188 
6702 
7216 
7730 
8242 
8754 
9266 


4693 
5209 
5725 
6240 
6754 
7268 
7781 
8293 
8805 
9317 


4744 
5261 
5776 
6291 
6805 
7319 
7832 
8345 
8857 
9368 


9470 
9981 
0491 
1000 
1509 
2017 
2524 
3031 
3538 
4044 
4549 
5054 
5558 
6061 
6564 
7066 
7568 
8069 
8570 
9070 


9521 
..32 
0542 
1051 
1560 
2068 
2575 
3082 
3589 
4094 


9623 
.134 
0643 
1153 
1661 
2169 
2677 
3183 
3690 
4195 


9674 
.185 
0694 
1204 
1712 
2220 
2727 
3234 
3740 
4246 


9776 
.287 
0796 
1305 
1814 
2322 
2829 
3335 
3841 
4347 
4852 
5356 
5860 
6363 
6865 
7367 
7869 
8370 
8870 
9369 
9869 
0367 
0865 
1362 
1859 
2355 
2851 
3346 
3841 
4335 


9827 
.338 
0847 
1356 
1865 
2372 
2879 
3386 
3892 
4397 


9879 
.389 
0898 
1407 
1915 
2423 
2930 
3437 
3943 
4448 


934498 
5003 
5507 
6011 
6514 
7016 
7518 
8019 
8520 
9020 
939519 
940018 
0516 
1014 
1511 
2008 
2504 
3000 
3495 
3989 


4599 
5104 
5608 
6111 
6614 
7117 
7618 
8119 
8620 
9120 

9619 
0118 
0616 
1114 
1611 
2107 
2603 
3099 
3593 
4088 


4700 
5205 
5709 
6212 
6715 
7217 
7718 
8219 
8720 
9220 


4751 
5255 
5759 
6262 
6765 
7267 
7769 
8269 
8770 
9270 
9769 
0267 
0765 
1263 
1760 
2256 
2752 
3247 
3742 
4230 


4801 
5306 
5809 
6313 
6815 
7317 
7819 
8320 
8820 
9320 


4902 
5406 
5910 
6413 
6916 
7418 
7919 
8420 
8920 
9419 
9918 
0417 
0915 
1412 
1909 
2405 
2901 
3396 
3890 
4384 


4953 
5457 
5960 
6463 
6966 
7468 
7969 
8470 
8970 
9469 


9569 
0068 
0566 
1064 
1561 
2058 
2554 
3049 
3544 
4038 


9719 
0218 
0716 
1213 
1710 
2207 
2702 
3198 
3692 
4186 


9819 
0317 
0815 
1313 
1809 
2306 
2801 
3297 
3791 
4285 


9968 
0467 
0964 
1462 
1958 
2455 
2950 
3445 
3939 
4433 


|n. 1 |l|2|3|4|5 


1 6 


7 


8 


9 1 D. 1 



A. TABLE OF LOOARITIIMS FROM 1 TO 10,000. 



15 



N. 


|l|2l3|4|5l6|7|8|9|D. 1 


880 


944483 45321 


4.581 


46311 


46801 47291 


4779 


4828 


4877 


4927 


49 


881 


4976 


5025 


5074 


5124 


5173 


5222 


5272 


5321 


5370 


5410 


49 


882 


5469 


5518 


5567 


5616 


5665 


5715 


5764 


5813 


5862 


5912 


49 


883 


5961 


6010 


6059 


6108 


6157 


6207 


6256 


6305 


6354 


6403 


49 


884 


6452 


6501 


6.551 


6600 


6649 


6698 


6747 


6796 


6845 


6894 


49 


885 


6943 


6992 


7041 


7090 


7140 


7189 


7238 


7287 


7336 


7385 


49 


886 


7434 


7483 


7532 


7581 


7630 


7679 


7728 


7777 


7826 


7875 


49 


887 


7924 


7973 


8022 


8070 


8119 


8168 


8217 


8266 


8315 


8364 


49 


888 


8413 


8462 


85 U 


8560 


8609 


8657 


8706 


8755 


8804 


8853 


49 


889 
890 


8902 


8951 
9439 


8999 


9048 
9536 


9097 


9146 


9195 


9244 


9292 


9341 


49 
49 


949390 


9488 


9585 


9634 


9683 


9731 


9780 


9829 


891 


9878 


9926 


9975 


..24 


..73 


.121 


.170 


.219 


.267 


.316 


49 


892 


950365 


0414 


0462 


0511 


0560 


0608 


0657 


0706 


0754 


0803 


49 


893 


0851 


0900 


0949 


0997 


1046 


1095 


1143 


1192 


1240 


1289 


49 


894 


1338 


1386 


1435 


1483 


1.532 


1580 


1629 


1677 


1726 


1775 


49 


895 


1823 


1872 


1920 


1969 


2017 


2066 


2114 


2163 


2211 


2260 


48 


896 


2308 


2356 


2405 


2453 


2502 


2550 


2599 


2647 


2696 


2744 


48 


897 


2792 


2841 


2889 


2938 


2986 


3034 


3083 


3131 


3180 


3228 


48 


898 


3276 


3325 


3373 


3421 


3470 


3518 


3566 


3615 


3663 


3711 


48 


899 
900 


3760 


3808 
4291 


3856 


3905 


3953 


4001 


4049 


4098 


4146 


4194 
4677 


48 
48 


954243 


4339 


4387 


4435 


4484 


4532 


458U 


4628 


901 


4725 


4773 


4821 


4869 


4918 


4966 


5014 


5062 


5110 


5158 


48 


902 


5207 


5255 


5303 


5351 


5399 


5447 


5495 


5513 


5592 


5640 


48 


903 


5688 


5736 


5784 


.5832 


5880 


5928 


5976 


6024 


6072 


6120 


48 


904 


6168 


6216 


6265 


6313 


6361 


6409 


6457 


6505 


6553 


6601 


48 


905 


6649 


6697 


6745 


6793 


6840 


6888 


69.36 


6984 


7032 


7080 


48 


906 


712S 


7176 


7224 


7272 


7320 


7368 


7416 


7464 


7512 


7559 


48 


907 


7607 


7655 


7703 


7751 


7799 


7847 


7894 


7942 


7990 


8038 


48 


908 


8086 


8134 


8181 


8229 


8277 


8325 


8373 


8421 


8468 


8516 


48 


909 
910 


8564 


8612 


8659 


8707 


8755 


8803 


8850 
9328 


8898 


8946 
9423 


8994 


48 
48 


959041 


9089 


9137 


9185 


9232 


9280 


9375 


9471 


911 


9518 


9566 


9614 


9661 


9709 


9757 


9804 


9852 


9900 


9947 


48 


912 


9995 


..42 


..90 


.138 


.185 


.233 


.280 


.328 


.,376 


.423 


48 


913 


960471 


0518 


0566 


0613 


0661 


0709 


0756 


0804 


0851 


0899 


48 


914 


0946 


0994 


1041 


1089 


1136 


1184 


1231 


1279 


1326 


1374 


47 


915 


1421 


1469 


1516 


1.563 


1611 


16.58 


1706 


1753 


1801 


1848 


47 


916 


1895 


1943 


1990 


2038 


2085 


2132 


2180 


2227 


2275 


2322 


47 


917 


2369 


2417 


2464 


2511 


2559 


2606 


2653 


2701 


2748 


2795 


47 


918 


2843 


2890 


2937 


2985 


3032 


3079 


3126 


3174 


3221 


3268 


47 


919 
920 


3316 
963788 


3363 


.3410 

3882 


3457 
3929 


3504 
3977 


3552 


.3,-99 


3646 


3693 
4165 


3741 

4212 


47 
47 


3835 


4024 


4071 


4118 


921 


4260 


4307 


4354 


4401 


4448 


4495 


4542 


4590 


4637 


4684 


47 


922 


4731 


4778 


4825 


4872 


4919 


4966 


5013 


5081 


5108 


5155 


47 


923 


5202 


5249 


5296 


5343 


5390 


5437 


5484 


.5.531 


5578 


5625 


47 


924 


5672 


5719 


5766 


5813 


,5860 


5907 


59.54 


6001 


6048 


6095 


47 


925 


6142 


6189 


6236 


6283 


6329 


6376 


6423 


6470 


6517 


6564 


47 


926 


6611 


6658 


6705 


6752 


6799 


6845 


6892 


6939 


6986 


7033 


47 


927 


7080 


7127 


7173 


7220 


7267 


7314 


7.361 


7408 


7454 


7.501 


47 


928 


7548 


7595 


7642 


7688 


7735 


7782 


7829 


7875 


7922 


7969 


47 


929 
930 


8016 


8062 


8109 
8576 


8156 


8203 
8670 


8249 


8296 


8343 

8810 


8390 


8436 
8903 


47 
47 


968483 


8.5.30 


8623 


3716 


8763 


8856 


931 


8950 


8996 


9043 


9090 


9136 


9182 


9229 


9276 


9323 


9369 


47 


932 


9416 


9463 


9509 


9556 


9602 


9649 


9695 


9742 


9789 


9835 


47 


933 


9882 


9928 


9975 


..21 


..68 


.114 


.161 


.207 


.2.54 


.30( 


47 


934 


970347 


0393 


0440 


0486 


053J 


0579 


0626 


0672 


0719 


0765 


46 


935 


0812 


0858 


0904 


0951 


0997 


1044 


1090 


1137 


1183 


1229 


46 


936 


1276 


1322 


1,36£ 


1415 


146] 


1508 


1554 


1601 


1647 


1693 


46 


937 


174C 


1786 


1832 


1879 


192."= 


1971 


2018 


2064 


2110 


21.57 


46 


938 


2202 


2249 


2295 


2342 


23881 2434 


2481 


2.527 


2573 


2619 


46 


939 


2666 


) 2712' 2758 


1 2804' 2851' 28971 2943 


2989 


3035 


3082' 46 1 


N. 


1 ll|2|3|4|5|6|7|8|9|D. 1 



16 


A TABLE OP LOGARITHMS FROM 1 


TO 10,000 






N. 


1 |l|2|3|4|5|6|7|8|9|D. 1 


940 


973128 


3174 


3220 


3266 


3313 


3359 


3405 


3451 


3497 


3543 


46 


941 


3590 


3636 


3682 


3728 


3774 


3820 


3866 


3913 


3959 


4005 


46 


942 


4051 


4097 


4143 


4189 


4235 


4281 


4327 


4374 


4420 


4466 


46 


943 


4512 


4558 


4604 


4650 


4696 


4742 


4788 


4834 


4880 


4926 


46 


944 


4972 


5018 


5064 


5110 


5156 


5202 


5248 


5294 


5340 


5386 


46 


945 


5432 


5478 


5524 


5570 


5616 


5662 


5707 


5753 


5799 


5845 


46 


946 


6891 


5937 


5983 


6029 


6075 


6121 


6167 


6212 


6258 


6304 


46 


947 


6350 


6396 


6442 


6488 


6533 


6579 


6625 


6671 


6717 


6763 


46 


948 


6808 


6854 


6900 


6946 


6992 


7037 


7083 


7129 


7175 


7220 


46 


949 
950 


7266 


7312 


7358 


7403 


7449 


7495 


7541 
7998 


7.586 
8043 


7632 
8089 


7678 
8135 


46 
46 


977724 


7769 


7815 


7861 


7906 


7952 


951 


8181 


8226 


8272 


8317 


8363 


8409 


8454 


8500 


8546 


8591 


46 


952 


8637 


8683 


8728 


8774 


8819 


8865 


8911 


8956 


9002 


9047 


46 


953 


9093 


9138 


9184 


9230 


9275 


9321 


9366 


9412 


9457 


9503 


46 


954 


9548 


9594 


9639 


9685 


9730 


9776 


9821 


9867 


9912 


9958 


46 


955 


980003 


0049 


0094 


0140 


0185 


0231 


0276 


0322 


0367 


0412 


45 


956 


0458 


0503 


0549 


0594 


0640 


0685 


0730 


0776 


0821 


0867 


45 


957 


0912 


0957 


1003 


1048 


1093 


1139 


1184 


1229 


1275 


1320 


45 


958 


1366 


1411 


1456 


1501 


1547 


1592 


1637 


1683 


1728 


1773 


45 


959 
960 


1819 


1864 
2316 


1909 
2362 


1954 


2000 


2045 
2497 


2090 


2135 


2181 


2226 


45 
45 


982271 


2407 


2452 


2543 


2588 


2633 


2678 


961 


2723 


2769 


2814 


2859 


2904 


2949 


2994 


3040 


3085 


3130 


45 


962 


3175 


3220 


3265 


3310 


3356 


3401 


3446 


3491 


3536 


3581 


45 


963 


3626 


3671 


3716 


3762 


3807 


3852 


3897 


3942 


3987 


4032 


45 


964 


4077 


4122 


4167 


4212 


4257 


4302 


4347 


4392 


4437 


4482 


45 


965 


4527 


4572 


4617 


4662 


4707 


4752 


4797 


4842 


4887 


4932 


45 


966 


4977 


5022 


5067 


5112 


5157 


,5202 


5247 


5292 


.5337 


5382 


45 


967 


5426 


5471 


5516 


5561 


5606 


5651 


5696 


5741 


5786 


5830 


45 


908 


5875 


5920 


5965 


6010 


6055 


6100 


6144 


6189 


6234 


6279 


45 


969 
970 


6324 
986772 


6369 


6413 
6861 


6458 


6503 
6951 


6548 


6593 


6637 
7085 


6682 


6727 


45 
45 


6817 


6906 


6996 


7040 


7130 


7175 


971 


7219 


7264 


7309 


7353 


7398 


7443 


7'i88 


7532 


7577 


7622 


45 


972 


7666 


7711 


7756 


7800 


7845 


7890 


7934 


7979 


8024 


8068 


45 


973 


8113 


8157 


8202 


8247 


8291 


8.336 


8381 


8425 


8470 


8514 


45 


974 


8559 


8604 


8648 


8693 


8737 


8782 


8826 


8871 


8916 


8960 


45 


975 


9005 


9049 


9094 


9138 


9183 


9227 


9272 


9316 


9361 


9405 


45 


976 


9450 


9494 


9539 


9583 


9628 


9672 


9717 


9761 


9806 


9850 


44 


977 


9895 


9939 


9983 


..28 


..72 


.117 


.161 


.206 


.250 


.294 


44 


978 


990339 


0383 


0428 


0472 


0516 


0561 


0605 


0650 


0694 


0738 


44 


979 
980 


0783 


0827 


0871 


0916 
13.59 


0960 
1403 


1004 


1049 


1093 


1137 


1182 


44 
44 


991226 


1270 


1315 


1448 


1492 


1536 


1.580 


1625 


981 


1669 


1713 


1758 


1802 


1846 


1890 


1935 


1979 


2023 


2067 


44 


982 


2111 


2156 


2200 


2244 


2288 


2333 


2377 


2421 


2465 


2509 


44 


983 


2554 


2598 


2642 


2686 


2730 


2774 


2819 


2863 


2907 


2951 


44 


984 


2995 


3039 


3083 


3127 


3172 


3216 


3260 


3304 


3348 


3392 


44 


985 


3436 


3480 


3524 


3568 


3613 


3657 


3701 


3745 


3789 


3833 


44 


986 


3877 


3921 


3965 


4009 


4053 


4097 


4141 


4185 


4229 


4273 


44 


987 


4317 


4361 


4405 


4449 


4493 


4537 


4581 


4625 


4669 


4713 


44 


988 


4757 


4801 


4845 


4889 


4933 


4977 


5021 


.5065 


5108 


5152 


44 


989 
990 


5196 


5240 


5284 


5328 


5372 


5416 

5854 


5460 


5504 
5942 


5547 


5591 
6030 


44 
44 


995635 


5679 


5723 


5767 


.5811 


5898 


5986 


991 


6074 


6117 


6161 


6205 


6249 


6293 


6337 


6.380 


6424 


6468 


44 


992 


6512 


6555 


6599 


6643 


6687 


6731 


6774 


6818 


6862 


6906 


44 


993 


6949 


6993 


7037 


7080 


7124 


7168 


7212 


7255 


7299 


7343 


44 


994 


7386 


7430 


7474 


7517 


7561 


7605 


7648 


7692 


7736 


7779 


44 


995 


7823 


7867 


7910 


7954 


7998 


8041 


8085 


8129 


8172 


8216 


44 


996 


8259 


8303 


8347 


8390 


8434 


8477 


8521 


8564 


8608 


8652 


44 


997 


8695 


8739 


8782 


8826 


8869 


8913 


8956 


9000 


9043 


9087 


44 


998 


9131 


9174 


9218 


9261 


9305 


934^ 


9392 


9435 


9479 


9522 


44 


999 


9565 


9609 


9652 


9696 


9739 


9783 


9826 


9870 


9913 


9957 


43 


N. 


1 |l|2|3|4|5l6|7|8|9(D. 1 



A TABLE 



OF 



LOGARITHMIC 
SINES AND TANGENTS. 



FOR EVERY 



DEGREE AND MINUTE 



OP THE QUADRANT. 



N.B. The minutes in the left-hand column of each page» 
increasing downwards, belong to the degrees at the top ,* and 
those increasing upwards, in the right-hand column, belong to 
the degrees below. 



18 


( 


Degree.) a table of logarithmic 




M. 


1 Sine 1 D. 


Cosine | D. 


Tang. 1 D. 


Colang. 1 1 





0.000000 




10.000000 




0.000000 




liirtnite. 


-60 


1 


6.463726 


501717 


000000 


00 


6.463726 


501717 


13.536274 


69 


2 


764756 


293485 


000000 


00 


764756 


293483 


235244 


68 


3 


940847 


208231 


000000 


00 


940847 


208231 


059153 


67 


4 


7.065786 


161517 


000000 


00 


7.065786 


161517 


12.934214 


56 


6 


162696 


131968 


000000 


00 


162696 


131969 


837304 


66 


6 


241877 


111575 


9.999999 


01 


241878 


111578 


758122 


64 


7 


308824 


96653 


999999 


01 


308825 


99653 


691175 


63 


8 


366816 


85254 


999999 


01 


366817 


85254 


633183 


52 


9 


417968 


76263 


999999 


01 


417970 
463727 


76263 


582030 


51 


10 
11 


463725 


68988 


999998 


01 
01 


68988 


536273 


50 
49 


7.505118 


62981 


9.999998 


7.505120 


62981 


12.494880 


12 


542906 


57936 


999997 


01 


542909 


57933 


457091 


48 


13 


577668 


53641 


999997 


01 


577672 


53642 


422328 


47 


14 


609853 


49938 


999996 


01 


609857 


49939 


390143 


46 


15 


639816 


46714 


999996 


01 


639820 


46715 


360180 


45 


16 


667845 


43881 


999995 


01 


667849 


43882 


332151 


44 


17 


694173 


41372 


999995 


01 


694179 


41373 


305821 


43 


18 


718997 


39135 


999994 


01 


719003 


39136 


280997 


42 


19 


742477 


37127 


999993 


01 


742484 


37128 


257516 


41 


20 
21 


764754 


35315 
33672 


999993 
9.999992 


01 
01 


764761 


35136 


235239 


40 
39 


7.785943 


7.785951 


33673 


12.214049 


22 


806146 


32175 


999991 


01 


806155 


32176 


193845 


38 


23 


825451 


30805 


999990 


01 


825460 


30806 


174540 


37 


24 


843934 


29547 


999989 


02 


843944 


29549 


15&056 


36 


25 


861662 


28388 


999988 


02 


861674 


28390 


138326 


35 


26 


878695 


27317 


999988 


02 


878708 


27318 


121292 


34 


27 


895085 


26323 


999987 


02 


895099 


26325 


104901 


33 


28 


910879 


25399 


999986 


02 


910894 


25401 


089106 


32 


29 


926119 


24538 


999985 


02 


926134 


24540 


073866 


31 


30 
31 


940842 


23733 


999983 


02 
02 


940858 


23735 


059142 


30 
29 


7.955082 


22980 


9.999982 


7.955100 


22981 


12.044900 


32 


968870 


22273 


999981 


02 


968889 


22275 


031111 


28 


33 


982233 


.21608 


999980 


02 


982253 


21610 


017747 


27 


34 


995198 


20981 


999979 


02 


995219 


20983 


004781 


26 


35 


8.007787 


20390 


999977 


02 


8.007809 


20392 


11.992191 


25 


3G 


020021 


19831 


999976 


02 


020045 


19833 


979955 


24 


37 


031919 


19302 


999975 


02 


031945 


19305 


968055 


23 


38 


043501 


18801 


999973 


02 


043527 


18803 


956473 


22 


39 


054781 


18325 


999972 


02 


0548C1J 


18327 


945191 


21 


40 
41 


065776 


17872 


999971 


02 
02 


065806 


17874 


934194 


20 
19 


8.076500 


17441 


9.999969 


8.076531 


17444 


11.923469 


42 


086965 


17031 


999968 


02 


086997 


17034 


913003 


18 


43 


097183 


16639 


999966 


02 


097217 


16642 


902783 


17 


44 


107167 


16265 


999964 


03 


107202 


16268 


892797 


16 


45 


116926 


15908 


999963 


03 


116963 


15910 


883037 


15 


46 


126471 


15566 


999961 


03 


126510 


15568 


873490 


14 


47 


135810 


15238 


999959 


03 


135851 


15241 


864149 


13 


48 


144953 


14924 


9Q9958 


03 


144996 


14927 


855004 


12 


49 


153907 


14622 


999956 


03 


153952 


14627 


846048 


11 


a: 

51 


162681 


14333 


9999f>4 


03 
03 


162727 


14336 


837273 


10 
9 


8.171280 


14054 


9.999952 


8.171328 


14057 


11.828672 


52 


179713 


13786 


999950 


03 


179763 


13790 


820237 


8 


53 


187985 


13529 


999948 


03 


188036 


13532 


811964 


7 


54 


196102 


13280 


999946 


03 


196156 


13284 


803844 


6 


55 


204070 


13041 


999944 


= 3 


204126 


'13044 


795874 


5 


66 


211895 


12810 


999942 


'4 


211953 


12814 


788047 


4 


57 


219581 


12587 


999940 


04 


219641 


12590 


780359 


3 


58 


227134 


12372 


999938 


04 


227195 


12376 


772805 


2 


59 


234557 


12164 


999936 


04 


. 234621 


12188 


765379 


1 


60 


241855 


11963 


999934 


04 


T 241921 


11967 


7580791 Ol 


_J 


Cosine | 


1 Sine 1 


Colang. 1 


Tang. 1 M. 1 



89 Degrees. 





SIKES AND TANGENTS. (I E 


legiee.] 




1 


"T 


Sine 1 D. 


Cosine | D. 


Tang. 


D. 


Cotang. 1 ^ 





8.241855 


11963 


9.999934 


04 


8.241921 


11967 


11.758079 


60 


1 


249033 


11768 


999932 


04 


249102 


11772 


750898 


59 


2 


256094 


11580 


999929 


04 


256165 


11584 


743835 


58 


3 


263042 


11398 


999927 


04 


263115 


11402 


736885 


57 


4 


269881 


11221 


999925 


04 


269956 


11225 


730044 


56 


5 


276614 


11050 


999922 


04 


276691 


11054 


723309 


55 


6 


283243 


10883 


999920 


04 


283323 


10887 


716677 


54 


7 


289773 


10721 


999918 


04 


289856 


10726 


710144 


53 


8 


296207 


10565 


999915 


04 


296292 


10570 


703708 


52 


9 


302546 


10413 


999913 


04 


302634 


10418 


697366 


51 


10 
11 


308794 


10266 


999910 
9.999907 


04 

04 


308884 


10270 


691116 


50 
49 


8.314954 


10122 


8.315046 


10126 


11.684954 


12 


321027 


9982 


999905 


04 


321122 


9987 


678878 


48 


13 


327016 


9847 


999902 


04 


327114 


9851 


672886 


47 


14 


332924 


9714 


999899 


05 


333025 


9719 


666975 


46 


15 


338753 


9586 


999897 


05 


338858 


9590 


661144 


45 


16 


344504 


9460 


999894 


05 


344610 


9465 


655390 


44 


17 


350181 


9338 


999891 


05 


350289 


9343 


649711 


43 


18 


355783 


9219 


999888 


05 


355895 


9224 


644105 


42 


19 


361315 


9103 


999885 


05 


361430 


9108 


638570 


41 


20 
21 


366777 


8990 


999882 
9.999879 


05 
05 


366895 


8995 


633105 


40 
39 


8.372171 


8880 


8.372292 


8885 


11.627708 


22 


377499 


8772 


999876 


05 


377622 


8777 


622378 


38 


23 


382762 


8667 


999873 


05 


382889 


8672 


617111 


37 


24 


387962 


8564 


999870 


05 


388092 


8570 


611908 


36 


25 


393101 


8464 


999867 


05 


393234 


8470 


606766 


35 


26 


398179 


8366 


999864 


05 


398315 


8371 


601685 


34 


27 


403199 


8271 


999861 


05 


403338 


8276 


596662 


33 


28 


408161 


8177 


999858 


05 


408304 


8182 


591696 


32 


29 


413068 


8086 


999854 


05 


413213 


8091 


586787 


31 


30 
01 


417919 


7996 


999851 


06 
06 


418068 


8002 
7914 


581932 


30 

29 


8.422717 


7909 


9.999848 


8.422869 


11.577131 


32 


427462 


7823 


999844 


06 


427618 


7830 


572382 


28 


33 


432156 


7740 


999841 


06 


432315 


7745 


567685 


27 


34 


436800 


7657 


999838 


06 


436962 


7663 


563038 


26 


35 


441394 


7577 


999834 


06 


441560 


7583 


558440 


25 


36 


445941 


7499 


999831 


06 


446110 


7505 


553890 


24 


37 


450440 


7422 


999827 


06 


450613 


7428 


549387 


23 


38 


454893 


7346 


999823 


06 


455070 


7352 


544930 


22 


39 


459301 


7273 


999820 


06 


459481 


7279 


540519 


21 


40 
41 


463665 


7200 


999816 
9.999812 


06 
06 


463849 
8.468172 


7206 


536151 


20 
19 


8.467985 


7129 


7135 


11.531828 


42 


472263 


7060 


999809 


06 


472454 


7066 


527546 


18 


43 


476498 


6991 


999805 


06 


476693 


6998 


523307 


17 


44 


480693 


6924 


999801 


06 


480892 


6931 


519108 


16 


45 


484848 


6859 


999797 


07 


485050 


6865 


514950 


15 


46 


488963 


6794 


999793 


07 


489170 


6801 


510830 


14 


47 


493040 


6731 


999790 


07 


493250 


6738 


506750 


13 


48 


497078 


6669 


999786 


07 


497293 


6676 


502707 


12 


49 


501080 


6608 


999782 


07 


501298 


6615 


498702 


11 


50 
51 


505045 


6548 


999778 


07 
07 


505267 
8.509200 


6555 


494733 


10 
9 


8.508974 


6489 


9.999774 


6496 


11.490800 


52 


512867 


6431 


999769 


07 


513098 


6439 


486902 


8 


53 


510726 


6375 


999765 


07 


516961 


6382 


483039 


7 


54 


520551 


6319 


999761 


07 


5207PO 


6326 


479210 


6 


55 


524343 


6264 


999757 


07 


5245^5 


6272 


475414 


5 


56 


528102 


6211 


999753 


07 


528349 


6218 


471651 


4 


57 


531828 


1 6158 


999748 


07 


532080 


6165 


467920 


3 


58 


535523 


1 6106 


99Q744 


07 


535779 


6113 


464221 


2 


59 


539186 


1 6055 


999740 


07 


539447 


6062 


460553 


1 


60^ 


6428191 6004 


9997?>5 


l07 


1 543084 


6012 


456910 







Cosine 1 


1 Sine 1 


1 Cotang. 




Tan.'. 1 .M. | 



im Degrees. 



20 


(2 De^ees.) a 


TABLE OP LOGAHITHMIC 






Sine 


D. 


Cosine 1 D. 


Tang. 


1 D. 


Cotang. 1 { 


^ 


8.542819 


6004 


9.999735 


07 


8.543084 


6012 


11.456916 


60 


1 


646422 


5955 


999731 


07 


546691 


6962 


453309 


59 


2 


549995 


5906 


999726 


07 


650268 


5914 


449732 


68 


3 


553539 


5858 


999722 


08 


553817 


5866 


446183 


57 


4 


557054 


5811 


999717 


08 


557336 


5819 


442664 


66 


5 


560540 


5765 


999713 


08 


560828 


5773 


439172 


56 


6 


563999 


5719 


999708 


08 


564291 


5727 


435709 


54 


7 


667431 


5674 


999704 


08 


567727 


5682 


432273 


63 


8 


670836 


5630 


999699 


08 


571137 


5638 


428863 


62 


9 


674214 


5587 


999694 


08 


574520 


5595 


425480 


51 


10 
11 


577566 
8.580892 


5544 


999689 
9.999685 


08 
08 


577877 


5552 


422123 


50 
49 


5502 


8.581208 


5510 


11.418792 


12 


584193 


5460 


999680 


08 


584514 


5468 


415486 


48 


13 


587469 


5419 


999675 


08 


587795 


5427 


412205 


47 


14 


590721 


5379 


999670 


08 


591051 


5387 


408949 


46 


15 


593948 


5339 


999665 


08 


594283 


5347 


405717 


45 


16 


597152 


5300 


999660 


08 


597492 


5308 


402508 


44 


17 


600332 


5261 


999655 


08 


600677 


5270 


399323 


43 


18 


603489 


5223 


999650 


08 


603839 


5232 


396161 


42 


19 


606623 


5186 


999645 


09 


606978 


5194 


393022 


41 


20 
21 


609734 


5149 
5112 


999640 
9.999035 


09 
09 


610094 


5158 


389906 
11.386811 


40 
39 


8.612823 


8.613189 


5121 


22 


615891 


5076 


999629 


09 


616262 


5085 


383738 


38 


23 


618937 


5041 


999624 


09 


619313 


5050 


380687 37 1 


24 


621962 


5006 


999619 


09 


622343 


5015 


377657 


36 


25 


624965 


4972 


999614 


09 


625352 


4981 


374648 


35 


26 


627948 


4938 


999608 


09 


628340 


4947 


371660 
368692 


34 


27 


630911 


4904 


999603 


09 


631308 


4913 


33 


28 


633854 


4871 


999597 


09 


634256 


4880 


365744 


32 


29 


636776 


4839 


999592 


09 


637184 


4848 


362816 


31 


30 
31 


639680 
8.642563 


4806 


999586 
9.999581 


09 
09 


640093 


4816 


359907 
11.357018 


30 

29 


4775 


8.642982 


4784 


32 


645428 


4743 


999575 


09 


045853 


4753 


354147 


28 


33 


648274 


4712 


999570 


09 


648704 


4722 


351296 


27 


34 


651102 


4682 


999564 


09 


651537 


4691 


.348463 


26 


35 


653911 


4652 


999558 


10 


654352 


4661 


345648 


25 


36 


656702 


4622 


999553 


10 


657149 


4631 


342851 


24 


37 


659475 


4592 


999547 


10 


659928 


4602 


340072 


23 


38 


662230 


4563 


999541 


10 


662689 


4573 


337311 


22 


39 


664968 


4535 


999535 


10 


665433 


4544 


334567 


21 


40 
41 


667689 
8.670393 


4506 

4479 


999529 


10 
10 


668160 
8.670870 


4526 


331840 


20 
19 


9.999524 


4488 


11.329130 


42 


673080 


4451 


999518 


10 


673563 


4461 


326437 


18 


43 


675751 


4424 


999512 


10 


676239 


4434 


323761 


17 


44 


678405 


4397 


999506 


10 


678900 


4417 


321100 


16 


45 


681043 


4370 


999500 


10 


681544 


4380 


318456 


15 


46 


683665 


4344 


999493 


10 


684172 


4354 


315828 


14 


47 


686272 


4318 


999487 


10 


686784 


4328 


313216 


13 


48 


688863 


4292 


999481 


10 


689331 


4303 


310619 


12 


49 


691438 


4267 


999475 


10 


691963 


4277 


308037 


11 


50 


693998 


4242 


999469 


10 


694529 


4252 


305471 


10 


51 


8.696543 


4217 


9.999463 


11 


8.697081 


4228 


11.302919 


9 


52 


699073 


4192 


999456 


11 


699617 


4203 


300383 


8 


53 


701589 


4168 


999450 


11 


702139 


4179 


297861 


7 


54 


704090 


4144 


999443 


11 


704646 


4155 


295354 


6 


55 


706577 


4121 


999437 


11 


707140 


4133 


292860 


6 


56 


709049 


4097 


999431 


11 


709618 


4108 


290382 


4 


57 


711507 


4074 


999424 


11 


712^83 


4085 


287917 


3 


58 


713952 


4051 


999418 


11 


714534 


4062 


285465 


2 


59 


716383 


4029 


999411 


11 


716972 


4040 


28.3028 


1 


60 


718800 


4006 


999404 


11 


719396 


4017 


280604 





1 


Cosine 


1 


Sine i , 


Cotang. | 


1 


Tang. |.M. | 





SINES AND TANGENTS. (3 Degrees.] 




21 


pi 


Sine 1 D. 1 


Cosine 1 D. 


Tansr. 


D. 


Cotane. | | 





8.718800 


4006 


9.999404 


11 


8.719396 


4017 


11.280604 


"60' 


1 


721204 


3984 


999398 


11 


721806 


3995 


278194 


59 


2 


723595 


3962 


999391 


11 


724204 


3974 


275796 


58 


3 


725972 


3941 


999384 


11 


726588 


3952 


273412 


57 


4 


728337 


3919 


999378 


11 


728959 


3930 


271041 


56 


5 


730688 


3898 


999371 


11 


731317 


3909 


268683 


55 


6 


733027 


3877 


999364 


12 


733663 


3889 


266337 


54 


7 


735354 


3857 


999357 


12 


735996 


3868 


264004 


53 


8 


737667 


3836 


999350 


12 


738317 


3848 


261683 


52 


9 


739969 


3816 


999343 


12 


740626 


3827 


259374 


51 


10 
11 


742259 
8.744536 


3796 


999336 
9.999329 


12 
12 


742922 
8.745207 


3807 


257078 


50 
49 


3776 


3787 


11.254793 


12 


746802 


3756 


999322 


12 


747479 


3768 


252521 


48 


13 


749055 


3737 


999315 


12 


749740 


3749 


250260 


47 


14 


751297 


3717 


999308 


12 


751989 


3729 


248011 


46 


15 


753528 


3698 


999301 


12 


754227 


3710 


245773 


45 


16 


755747 


3679 


999294 


12 


756453 


3692 


243547 


44 


17 


757955 


3661 


999286 


12 


758668 


3673 


241332 


43 


18 


760151 


3642 


999279 


12 


760872 


3655 


239128 


42 


19 


762337 


3624 


999272 


12 


763065 


3636 


236935 


41 


20 
21 


764511 


3606 


999265 


12 
12 


765246 


3618 


234754 


40 
39 


8.766675 


3588 


9.9992.57 


8.767417 


3600 


11.232583 


22 


768828 


3570 


9992.50 


13 


769578 


3583 


. 230422 


38 


23 


770970 


3553 


999242 


13 


771727 


3565 


228273 


37 


24 


773101 


3535 


999235 


13 


773866 


3548 


226134 


36 


25 


775223 


3518 


999227 


13 


775995 


3531 


224005 


35 


26 


777333 


3501 


999220 


13 


778114 


3514 


221886 


34 


27 


779434 


3484 


999212 


13 


780222 


3497 


219778 


33 


28 


781524 


3467 


999205 


13 


782320 


3480 


217680 


32 


29 


783605 


3451 


999197 


13 


784408 


3464 


215592 


31 


30 
31 


785675 


3431 


999189 
9.999181 


13 
13 


786486 
8.788.554 


3447 


213514 


30 
29 


8.787736 


3418 


3431 


11.211446 


32 


789787 


3402 


999174 


13 


790613 


3414 


209387 


28 


33 


791828 


3386 


999166 


13 


792662 


3399 


207338 


27 


34 


793859 


3370 


999158 


13 


794701 


3383 


205299 


26 


35 


795881 


3354 


999150 


13 


796731 


3368 


203269 


25 


36 


797894 


3339 


999142 


13 


798752 


3352 


201248 


24 


37 


799897 


3323 


999134 


13 


800763 


3337 


199237 


23 


38 


801892 


3308 


999126 


13 


802765 


3322 


197235 


22 


39 


803876 


3293 


999118 


13 


804758 


3307 


195242 


21 


40 

41 


805852 
8.807819 


3278 


999110 


13 
13 


806742 


3292 


19.3258 


20 
19 


3263 


9.999102 


8.808717 


3278 


11.191283 


42 


809777 


3249 


999094 


14 


810683 


3262 


189317 


18 


43 


811726 


3234 


999086 


14 


812641 


3248 


187359 


17 


44 


813667 


3219 


999077 


14 


814589 


3233 


185411 


16 


45 


81.5599 


3205 


999069 


14 


816529 


3219 


183471 


15 


46 


817.522 


3191 


999061 


14 


818461 


3205 


181.539 


14 


47 


8194.36 


3177 


999053 


14 


820384 


3191 


179616 


13 


48 


821343 


3163 


999044 


14 


822298 


3177 


177702 


12 


49 


823240 


3149 


999036 


14 


824205 


3163 


175795 


11 


50 

51 


825130 
8.827011 


31.35 


999027 


14 
14 


826103 
8.827992 


3150 
3136 


173897 


10 
9 


3122 


9.999019 


11.172008 


52 


828884 


3108 


999010 


14 


829874 


3123 


170126 


8 


53 


830749 


3095 


999002 


14 


831748 


3110 


168252 


7 


54 


832607 


3082 


998993 


14 


83.3613 


3096 


166387 


6 


55 


834456 


3069 


998984 


14 


83.5471 


3083 


164529 


5 


56 


836297 


3056 


998976 


14 


837321 


3070 


162679 


4 


57 


838130 


3043 


998967 


15 


839163 


3057 


160837 


3 


58 


839956 


3030 


998958 


15 


840998 


3045 


159002 


2 


59 


841774 


3017 


9989.50 


15 


842825 


3032 


157175 


1 


60 


843585 


3000 


998941 


15 


844644 


3019 


155356 





_ 


Cosine | 


Sine 1 


Cotanj;. 


1 


Tang. 1 M. | 



86 Degrees. 



22 


(4 Degrees.) a 


lABLE OF LOGABirnMIC 




M. 1 


Sine j 


D. 1 


Cosine 1 D. 1 


TaiiR. 1 D. 1 


Cotang. 1 1 





8.843585 


3005 


9.998941 


15 


8.844644 


3019 


11.155356 


60 


1 


845387 


2992 


998932 


15 


846455 


3007 


153545 


59 


2 


847183 


2980 


998923 


15 


848260 


2995 


151740 


58 


3 


848971 


2967 


998914 


15 


850057 


2982 


149943 


57 


4 


850751 


2955 


998905 


15 


851846 


2970 


148154 


56 


5 


852525 


2943 


998896 


15 


853628 


2958 


146372 


55 


6 


854291 


2931 


998887 


15 


855403 


2946 


144597 


54 


7 


856049 


2919 


998878 


15 


857171 


2935 


142829 


53 


8 


85780 1 


2907 


998869 


15 


858932 


2923 


141068 


52 


9 


859546 


2896 


998860 


15 


860686 


2911 


139314 


51 


10 
11 


861283 


2884 


998851 


15 
15 


862433 


2900 


137567 
11.135827 


50 

49 


8.863014 


2873 


9.998841 


8.864173 


2888 


12 


864738 


2861 


998832 


15 


865906 


2877 


134094 


48 


13 


866455 


2850 


998823 


16 


867632 


2866 


132368 


47 


14 


868165 


2839 


998813 


16 


869351 


2854 


130649 


46 


15 


869868 


2828 


998804 


16 


871064 


2843 


128936 


45 


16 


871565 


2817 


998795 


16 


872770 


2832 


127230 


44 


17 


873255 


2806 


998785 


16 


874469 


2821 


125531 


43 


18 


874938 


2795 


998776 


16 


876162 


2811 


123838 


42 


19 


876615 


2786 


998766 


16 


877849 


2800 


122151 


41 


20 
21 


878285 


2773 


998757 


16 


879529 


2789 


120471 


40 
39 


8.879949 


2763 


9.998747 


16 


8.881202 


2779 


11.118798 


22 


881607 


2752 


998738 


16 


882869 


2768 


117131 


38 


23 


883258 


2742 


998728 


16 


884530 


2758 


115470 


37 


24 


884903 


2731 


998718 


16 


886185 


2747 


113815 


36 


25 


886542 


2721 


998708 


16 


887833 


2737 


112167 


35 


26 


888174 


2711 


998699 


16 


889476 


2727 


110524 


34 


27 


889801 


2700 


998689 


16 


891112 


2717 


108888 


33 


28 


891421 


2690 


998679 


16 


892742 


2707 


107258 


32 


29 


893035 


2680 


998669 


17 


894366 


2697 


105634 


31 


30 
31 


894643 


2670 


998659 


17 

17 


895984 


2687 


104016 


30 
29 


8.896246 


2660 


9.998649 


8.897596 


2677 


11.102404 


32 


897842 


2651 


998639 


17 


899203 


2667 


100797 


28 


33 


899432 


2641 


998629 


17 


900803 


2658 


099197 


27 


34 


901017 


2631 


998619 


17 


902398 


2648 


097602 


26 


35 


902596 


2622 


998609 


17 


903987 


2638 


096013 


25 


36 


904169 


2612 


998599 


17 


905570 


2629 


094430 


24 


37 


905736 


2603 


998589 


17 


907147 


2620 


092853 


23 


38 


907297 


2593 


998578 


17 


908719 


2610 


091281 


22 


39 


908853 


2584 


998568 


17 


910285 


2601 


089715 


21 


40 
41 


910404 


2575 


998558 
9.998548 


17 
17 


911846 


2592 


088154 


20 
19 


8.911949 


2566 


8.913401 


2583 


11.086599 


42 


913488 


2556 


998537 


17 


914951 


2574 


085049 


18 


43 


915022 


2547 


998527 


17 


916495 


2565 


083505 


17 


44 


916550 


2538 


998516 


18 


918034 


2556 


081966 


16 


45 


918073 


2529 


998506 


18 


919568 


2547 


080432 


15 


46 


919591 


2520 


998495 


18 


921096 


2538 


078904 


14 


47 


921103 


2512 


998485 


18 


922619 


2530 


077381 


13 


48 


922610 


2503 


998474 


18 


924136 


2521 


075864 


12 


49 


924112 


2494 


998464 


18 


925649 


2512 


074351 


11 


50 
51 


925609 


2486 

2477 


998453 
9.998442 


18 
18 


927156 


2503 


072844 


10 
9 


8.927100 


8.928658 


2495 


11.071342 


52 


928587 


2469 


998431 


18 


930155 


2486 


069845 


8 


53 


930068 


2460 


998421 


18 


931647 


2478 


068353 


7 


54 


931544 


2452 


998410 


18 


933134 


2470 


066866 


6 


55 


933012 


2443 


998399 


18 


934616 


2461 


065384 


5 


56 


93448] 


2435 


998388 


18 


936093 


2453 


063907 


4 


57 


93594S 


. 2427 


998377 


18 


937565 


2445 


062435 


I 


58 


937396 


2419 


998366 


18 


939032 


2437 


060968 


2 


59 


93885C 


2411 


99835f 


► 18 


940494 


2430 


059506 


1 


60 


94029 e 


2403 


99834^ 


[ 18 


.941952 


2421 


058048 







j Cosine 


1 


1 Sine 1 


j Colang. 1 


1 Tang. |M.| 








85 


Degr< 


jea. 











SINES AND TANGENTS. (5 Degrees.) 


23 


nr 


Sine 1 


D. 


Cosine 1 D. 


Tang. 


D. 


Ootang. 1 1 


^ 


8.940296 


2403 


9.998344 


19 


8.941952 


2421 


11.058048 60 1 


1 


941738 


2394 


998333 


19 


943404 


2413 


056596 


59 


2 


943174 


2387 


998322 


19 


944852 


2405 


055148 


68 


3 


944606 


2379 


998311 


19 


946295 


2397 


053705 


57 


4 


946034 


2371 


998300 


19 


947734 


2390 


052266 


56 




947456 


2363 


998289 


19 


949168 


2382 


050832 


55 


r. 


948874 


2355 


998277 


19 


950597 


2374 


049403 


54 


V 


950287 


2348 


998266 


19 


952021 


2366 


047979 


53 


8 


951696 


2340 


998255 


19 


953441 


2360 


046559 


52 


!>' 


953100 


2332 


998243 


19 


954856 


2351 


045144 


51 


10 
11 


954499 
8.955894 


2325 


998232 


19 
19 


956267 
8.957674 


2344 


043733 


50 
49 


2317 


9.998220 


2337 


11.042326 


15^ 


957284 


2310 


998209 


19 


959075 


2329 


040925 


48 


13 


958670 


2302 


998197 


la 


960473 


2323 


039527 


47 


li 


960052 


2295 


998186 


19 


961866 


2314 


038134 


46 


1;- 


961429 


2288 


998174 


19 


963255 


2307 


036745 


45 


10 


962801 


2280 


998163 


19 


964639 


2300 


035361 


44 


17 


964170 


2273 


998151 


19 


966019 


2293 


033981 


43 


Ul 


965534 


2266 


998139 


20 


967394 


2286 


032606 


42 


HI 


966893 


2259 


998128 


20 


968766 


2279 


031234 


41 


20 

21 


968249 
8.969600 


2252 


998116 


20 
20 


970133 
8.971496 


2271 


029867 


40 
39 


2244 


9.998104 


2265 


11.028504 


22 


970947 


2238 


998092 


20 


972855 


2257 


027145 


38 


23 


972289 


2231 


998080 


20 


974209 


2251 


025791 


37 


24 


973628 


2224 


998068 


20 


975560 


2244 


0244401361 


25 


974962 


2217 


998056 


20 


976906 


2237 


023094 


35 


26 


976293 


2210 


998044 


20 


978248 


2230 


021752 


34 


27 


977619 


2203 


998032 


20 


979586 


2223 


020414 


33 


28 


978941 


2197 


998020 


20 


980921 


2217 


019079 


32 


29 


980259 


2190 


998008 


20 


982251 


2210 


017749 


31 


30 
31 


931573 
8.982883 


2183 


997990 


20 
20 


983577 


2204 


016423 


30 
29 


2177 


9.997984 


8.984899 


2197 


11.015101 


32 


984189 


2170 


997972 


20 


986217 


2191 


013783 


28 


33 


985491 


2163 


997959 


20 


987532 


2184 


012468 


27 


34 


986789 


2157 


997947 


20 


988842 


2178 


011158 


26 


35 


988083 


2150 


997935 


21 


990149 


2171 


009851 


25 


36 


989374 


2144 


997922 


21 


991451 


2165 


008549 


24 


37 


990660 


2138 


997910 


21 


992750 


2158 


007250 


23 


38 


991943 


2131 


997897 


21 


994045 


2152 


005955 


22 


39 


993222 


2125 


997885 


21 


995337 


2146 


004663 


21 


40 
41 


994497 
8.995768 


2119 


997872 
9.997860 


21 
21 


996624 
8.997908 


2140 


003376 


20 
19 


2112 


2134 


11.002092 


42 


997036 


2106 


997847 


21 


999188 


2127 


000812 


18 


43 


998299 


2100 


997835 


21 


9.000465 


2121 


10.999535 


17 


44 


999560 


2094 


997822 


21 


001738 


2115 


998262 


16 


45 


9.000816 


2087 


997809 


21 


00,3007 


2109 


996993 


15 


46 


002069 


2082 


997797 


21 


004272 


2103 


995728 


14 


47 


003318 


2076 


997784 


21 


005534 


2097 


994466 


13 


48 


004563 


2070 


997771 


21 


006792 


2091 


993208 


12 


49 


005805 


2064 


997758 


21 


008047 


2085 


991953 


11 


50 

51 


007044 
9.008278 


2058 


997745 


21 
21 


009298 
9.010546 


2080 


990702 



9 


2052 


9.997732 


2074 


10.989454 


52 


009510 


2046 


997719 


21 


011790 


2068 


988210 


8 


53 


010737 


2040 


997706 


21 


013031 


2062 


986969 


7 


54 


011962 


2034 


997693 


22 


014268 


2056 


985732 


6 


55 


013182 


2029 


997680 


22 


015502 


2051 


984498 


5 


56 


014400 


2023 


997667 


22 


016i;J2 


2045 


983268 


4 


57 


015613 


2017 


997654 


22 


017959 


2040 


982041 


3 


58 


016824 


2012 


997641 


22 


019183 


2033 


980817 


2 


59 


018031 


2006 


997628 


22 


020403 


2028 


979597 


1 


60 


019235 


2000 


997614 


22 


02 1 620 


2023 


978380 







Cusine 


1 


Sine 1 1 


Cotang. 




Tan},'. 1 M. | 










81 I 


)< "ices. 









94 


(6 De^ees.) a 


TABLE OF LOGARITHMIC 




M. 


Sine 


D. 


1 Cctfine | D. 


Tang. 1 


D. 1 


Cotang. 1 1 


"~o" 


9.019235 


2000 


9.997614 


22 


9.021620 


2023 


10.978380 


60 


1 


020435 


1995 


997601 


22 


022834 


2017 


977166 


59 


2 


021632 


1989 


997588 


22 


024044 


2011 


9759.56 


58 


3 


022825 


1984 


997574 


22 


025251 


2006 


974749 


57 


4 


024016 


1978 


997561 


22 


026455 


2000 


973545 


56 


5 


025203 


1973 


997547 


22 


027655 


1995 


972345 


55 


6 


026386 


1967 


997534 


23 


028852 


1990 


971148 


54 


7 


027567 


1962 


997520 


23 


030046 


1985 


969954 


53 


8 


028744 


1957 


997507 


23 


031237 


1979 


968763 


52 


9 


029918 


1951 


997493 


23 


032425 


1974 


e67575 


51 


10 
11 


031089 
9.032257 


1947 
1941 


997480 


23 
23 


033609 


1969 


966391 


50 
49 


9.997466 


9.034791 


1964 


10.965209 


12 


033421 


1936 


997452 


23 


035969 


1958 


964031 


48 


13 


034582 


1930 


997439 


23 


037144 


1953 


9628.56 


47 


14 


035741 


1925 


997425 


23 


038316 


1948 


961684 


46 


15 


036896 


1920 


997411 


23 


039485 


1943 


960515 


45 


16 


038048 


1915 


997397 


23 


040651 


1938 


959349 


44 


17 


039197 


1910 


997383 


23 


041813 


1933 


958187 


43 


18 


040342 


1905 


997369 


23 


042973 


1928 


957027 


42 


19 


041485 


1899 


997355 


23 


044130 


1923 


955870 


41 


20 
21 


042625 
9.043762 


1894 


997341 
9.997327 


23 

24 


045284 
9.046434 


1918 


954716 


40 
39 


1889 


1913 


10.953566 


22 


044895 


1884 


997313 


24 


047582 


1908 


952418 


38 


23 


046026 


1879 


997299 


24 


048727 


1903 


951273 


37 


24 


047154 


1875 


997285 


24 


049869 


1898 


950131136 1 


25 


048279 


1870 


997271 


24 


051008 


1893 


948992 


35 


26 


049400 


1865 


997257 


24 


052144 


1889 


947856 


34 


27 


050519 


1860 


997242 


24 


053277 


1884 


946723 


33 


28 


051635 


1855 


997228 


24 


054407 


1879 


945593 


32 


29 


052749 


1850 


997214 


24 


055535 


1874 


944465 


31 


30 
31 


053859 
054966 


1845 
1841 


997199 


24 
24 


056659 
9.057781 


1870 


943341 


30 
29 


9.997185 


1865 


10.942219 


32 


056071 


1836 


997170 


24 


058900 


1869 


941100 


28 


33 


0.57172 


1831 


997156 


24 


060016 


1855 


939984 


27 


34 


058271 


1827 


997141 


24 


061130 


1851 


938870 


26 


35 


0.59307 


1822 


997127 


24 


062240 


1846 


937760 


25 


36 


060460 


1817 


997112 


24 


063348 


1842 


936652 


24 


37 


061551 


1813 


997098 


24 


064453 


1837 


935547 


23 


38 


062639 


lens 


997083 


25 


065556 


1833 


934444 


22 


39 


063724 


1804 


997068 


25 


066655 


1828 


9.33345 


21 


40 
41 


064S06 
9.065885 


1799 
1794 


997053 


25 
25 


067752 
9.06S846 


1824 


932248 


20 


9.997039 


1819 


10.931154 


19 


42 


066962 


1790 


997024 


25 


069938 


1815 


9300621 IS 1 


43 


068036 


1786 


997009 


25 


071027 


1810 


928973 


17 


44 


069107 


1781 


996994 


25 


072113 


1806 


927887 


16 


45 


070176 


1777 


996979 


25 


073197 


1802 


926803 


15 


46 


071242 


1772 


996964 


25 


074278 


1797 


925722 


14 


47 


072306 


1768 


996949 


25 


075356 


1793 


92464^1 


13 


48 


07.3366 


1763 


996934 


25 


076432 


1789 


92356S 


12 


49 


074424 


17.59 


996919 


25 


077505 


1784 


922495 


11 


50 
51 


07.5480 
9.076533 


1755 
1750 


996904 
9.996889 


25 
25 


078576 
9.079644 


1780 
1776 


921424 


10 
9 


10.920356 


52 


077583 


1746 


996874 


25 


080710 


1772 


919290 


8 


53 


078031 


1742 


996858 


25 


081773 


1767 


918227 


7 


54 


079676 


1738 


996843 


25 


082833 


1763 


917167 


6 


55 


080719 


1733 


996828 


25 


083S91 


1759 


916109 


5 


56 


081759 


1729 


996812 


26 


084947 


1755 


915053 


4 


57 


0S2797 


1725 


996797 


26 


086000 


1751 


914000 


3 


58 


083832 


1721 


996782 


26 


087050 


1747 


912950 


2 


59 


084864 


1717 


996766 


26 


. 08S093 


1743 


911902 


1 


60 


085894 


1713 


996751 


26 


089144 


• 1738 


910856 







Cosine 1 




trine 1 


Coiaiig. 




Tang. 1 M. | 



£3 Decrees. 





SINES AND TANGENTS 


. (TDe 


grees.) 




25 


M. 


Sine 


D. 


Cosine 1 D. | 


Tang. 1 


p. 1 


CotanR. ( 1 


"o" 


9.085894 


1713 


9.996751 


26 


9.089144 


17^8 
1734 


10.910856 


60 1 


1 


086922 


1709 


996735 


26 


090187 


909813 


591 


2 


087947 


1704 


996720 


26 


091228 


1730 


908772 


68 


3 


088970 


1700 


996704 


26 


092266 


1727 


907734 


67 


4 


089990 


1696 


996688 


26 


093302 


1722 


906698 


6e 


5 


091008 


1692 


996673 


26 


094336 


1719 


905664 


65 


6 


092024 


1688 


996657 


26 


095367 


1715 


904603 


64 


7 


093037 


1684 


996641 


26 


096395 


1711 


903605 


53 


8 


094047 


1680 


996625 


26 


097422 


1707 


902578 


52 


9 


095056 


1676 


996610 


26 


098446 


1703 


901554 


51 


10 


096062 


1673 


996594 


26 


099468 


1699 


900532 


50 


11 


9.097065 


1668 


9.996578 


27 


9.100487 


1695 


10.899513 


49 


12 


098066 


1665 


996562 


27 


101504 


1691 


898496 


48 


13 


099065 


1661 


996546 


27 


102519 


1687 


897481 


47 


14 


100062 


1657 


996530 


27 


103532 


1684 


896468 


46 


15 


101056 


1653 


996514 


27 


104542 


1680 


895458 


45 


16 


102048 


1649 


996498 


27 


105550 


1676 


894450 


44 


17 


103037 


1645 


996482 


27 


106556 


1672 


893444 


43 


18 


104025 


1641 


996465 


27 


107559 


1669 


892441 


42 


19 


105010 


1638 


996449 


27 


108560 


1665 


891440 


41 


20 

21 


105992 


1634 


996433 


27 

27 


109559 


1661 


890441 


40 
39 


9.106973 


1630 


9.996417 


9.110556 


1658 


10.889444 


22 


107951 


1627 


996400 


27 


111551 


1654 


888449 


38 


23 


108927 


1623 


996384 


27 


112543 


1650 


887457 


37 


24 


109901 


1619 


996368 


27 


113533 


1646 


886467 


36 


25 


110873 


1616 


996351 


27 


114521 


1643 


885479 


35 


26 


111842 


1612 


996335 


27 


116.507 


1639 


884493 


34 


27 


112809 


1608 


996318 


27 


116491 


1636 


883509 


33 


28 


113774 


1605 


996302 


28 


117472 


1632 


882528 


32 


29 


114737 


1601 


996285 


28 


1184.52 


1629 


881548 


31 


30 
31 


115698 


1597 
1594 


996269 
9.996252 


28 
28 


119429 


1625 


880571 


30 
29 


9.116656 


9.120404 


1622 


10.879596 


32 


117613 


1590 


996235 


28 


121377 


1618 


878623 


28 


33 


118567 


1587 


996219 


28 


122348 


1615 


877652 


27 


34 


119519 


1583 


996202 


28 


123317 


1611 


876683 


26 


35 


120469 


1.580 


996185 


28 


124284 


1607 


875716 


25 


36 


121417 


1576 


996168 


28 


125249 


1604 


874751 


24 


37 


122362 


1573 


996151 


28 


126211 


1601 


873789 


23 


38 


123306 


1569 


996134 


28 


127172 


1597 


872828 


22 


39 


124248 


1566 


996117 


28 


128130 


1594 


871870 


21 


40 
41 


125187 


1562 


996100 
9.996083 


28 
29 


129087 
9.130041 


1.591 


870913 


20 
19 


9.126125 


1.559 


1587 


10.869959 


42 


127060 


1556 


996066 


29 


130994 


1584 


869006 


18 


43 


127993 


1552 


996049 


29 


131944 


1.581 


868056 


17 


44 


128925 


1549 


996032 


29 


132893 


1577 


867107 


16 


45 


129854 


1545 


996015 


29 


133839 


1574 


866161 


15 


46 


130781 


1542 


995998 


29 


134784 


1571 


865216 


14 


47 


131706 


1539 


995980 


29 


135726 


1567 


864274 


13 


48 


132630 


1535 


995963 


29 


136667 


1564 


863333 


12 


49 


133551 


1532 


995946 


29 


137605 


1.561 


862395 


11 


50 
61 


134470 
9.135387 


1529 


995928 
9.99.5911 


29 
29 


138542 


1558 


861458 


10 
9 


1525 


9.139476 


1.555 


10.860524 


62 


136303 


1522 


995894 


29 


140409 


1551 


859.591 


8 


53 


137216 


1519 


99.5876 


29 


141340 


1548 


858660 


7 


54 


138128 


1516 


99,5859 


29 


142269 


1545 


857731 


6 


55 


139037 


1512 


995841 


29 


143196 


1.542 


856804 


6 


66 


139944 


1509 


995823 


29 


144121 


1539 


855879 


4 


57 


140850 


1506 


995806 


29 


14.5044 


15.35 


854956 


3 


58 


141754 


1.503 


995788 


29 


145966 


15.32 


854034 


2 


59 


142655 


1.500 


995771 


29 


146885 


1529 


853115 


1 


60 


143555 


1496 


995753 


29 


147803 


152R 


852197 







Cosine 




Sine j 


1 tul^,,v. 




Tu.. |M.| 



82 Degrees. 
1) 



26 


(8 Degrees.;} a table op logarithmic 




M. 


Sine 


1 D. 


Cosine 1 D. 


Tan«. 


D. 1 


Cotang. 1 1 





9.143555 


1496 


9.995753 


30 


9.147803 


1526 


10.852197 60 1 


1 


144453 


1493 


995735 


30 


148718 


1523 


851282 


59 


2 


145349 


1490 


995717 


30 


149632 


1520 


850368 


68 


3 


146243 


1487 


995699 


30 


150544 


1517 


849466 


57 


4 


147136 


1484 


995681 


30 


151464 


1514 


848646 


56 


5 


148026 


1481 


995664 


30 


152363 


1511 


847637 


.56 


6 


148915 


1478 


996646 


30 


153269 


1508 


846731 


54 


7 


149802 


1475 


996628 


30 


154174 


1506 


845826 


53 


8 


150686 


1472 


995610 


30 


166077 


1.502 


844923 


52 


9 


151569 


1469 


996691 


30 


155978 


1499 


844022 


21 


10 


152451 


1466 


995573 


30 


156877 


1496 


843123 


50 


11 


9 153330 


1463 


9.995655 


30 


9.157775 


1493 


10.842226 


49 


12 


154208 


1460 


995637 


30 


158671 


1490 


841329 


48 


)3 


155083 


1457 


995519 


30 


159666 


1487 


840435 


47 


14 


155957 


1454 


996501 


31 


160457 


1484 


839543 


46 


16 


166830 


1451 


996482 


31 


161347 


1481 


838653 


45 


16 


157700 


1448 


995464 


31 


162236 


1479 


837764 


44 


17 


158569 


1445 


996446 


31 


163123 


1476 


836877 


43 


18 


159435 


1442 


995427 


31 


164008 


1473 


835992 


42 


19 


100301 


1439 


996409 


31 


164892 


1470 


835108 


41 


20 
21 


161164 
9.162025 


1436 
1433 


996390 


31 
31 


165774 
9.166654 


1467 
1464 


834226 


40 
39 


9.996372 


10.833346 


22 


162885 


1430 


9963.53 


31 


167532 


1461 


832468 


38 


23 


163743 


1427 


99.5334 


31 


168409 


1458 


831691 


37 


24 


164600 


1424 


996316 


31 


169284 


1465 


830716 


36 


25 


165454 


1422 


996297 


31 


170157 


1453 


829843 


35 


26 


166307 


1419 


995278 


31 


171029 


1450 


828971 


34 


27 


167159 


1416 


996260 


31 


171899 


1447 


828101 


33 


28 


168008 


1413 


996241 


32 


172767 


1444 


827233 


32 


29 


168856 


1410 


996222 


32 


173634 


1442 


826366 


31 


30 
31 


169702 


1407 
1405 


996203 


32 
32 


174499 


1439 
1436 


82.5501 


30 
29 


9.170547 


9.995184 


9.17.5362 


10.824638 


32 


171389 


1402 


995165 


32 


176224 


1433 


823776 


28 


33 


172230 


1399 


995146 


32 


177084 


1431 


822916 


27 


34 


173070 


1396 


995127 


32 


177942 


1428 


822058] 26 | 


35 


173908 


1394 


996108 


32 


178799 


1425 


821201 


25 


36 


174744 


1391 


995089 


32 


1796.55 


1423 


820345 


24 


37 


175578 


1388 


995070 


32 


180508 


1420 


819492 


23 


38 


176411 


1386 


995051 


32 


181360 


1417 


818640 


22 


39 


177242 


1383 


996032 


32 


182211 


1415 


817789 


21 


40 
41 


178072 


1380 
1377 


995013 


32 
32 


183059 


1412 


816941 


20 
19 


9.178900 


9.994993 


9.183907 


1409 


10.810093 


42 


179726 


1374 


994974 


32 


184752 


1407 


815248 


18 


43 


180551 


1372 


994956 


32 


185697 


1404 


814403 


17 


44 


181374 


1369 


994935 


32 


186439 


1402 


8136^1 


16 


45 


182196 


1366 


994916 


33 


187280 


1399 


812720 


15 


46 


183016 


1364 


994896 


33 


188120 


1396 


811880 


14 


47 


183834 


1361 


994877 


33 


188958 


1393 


811042 


13 


48 


184661 


1359 


994867 


33 


189794 


1391 


810206 


12 


49 


185466 


1356 


994838 


33 


190629 


1389 


809371 


11 


50 
51 


186280 


1353 


994818 
9.994798 


33 
33 


191462 
9.192294 


1386 
1384 


808538 


10 
9 


9.187092 


1351 


10.807706 


52 


187903 


1348 


994779 


33 


193124 


1381 


806876 


8 


53 


188712 


1346 


994759 


33 


193953 


1379 


806047 


7 


54 


189519 


1343 


994739 


33 


194780 


1376 


805220 


6 


55 


190325 


1341 


994719 


33 


195606 


1374 


804394 


5 


56 


191130 


1338 


994700 


33 


196430 


1371 


803570 


4 


57 


191933 


1336 


994680 


33 


197253 


1369 


802747 


3 


58 


192734 


1333 


994660 


33 


198074 


1366 


801926 


2 


59 


193534 


1330 


994640 


33 


198894 


1364 


801106 


1 


60 


194332 


1328 


994620 


33 


199713 


1361 


800287 


_0 




Cosine 




Sine 1 


Coiang. 




Tan.. t>M 



81 Degrees. 





SINES AND TANGKNTs. (9 Degrees. 


) 


27 


M. 


Sine 


1). 


Cosine | D. 


Tang. 


D. 


Cotang. 1 1 





9.194332 


1328 


9.994620 


33 


9.199713 


1361 


10.800287 


60 


1 


195129 


1326 


994600 


33 


200529 


1359 


799471 


59 


2 


195925 


1323 


994580 


33 


201345 


1356 


798655 


58 


3 


196719 


1321 


994560 


34 


202159 


1354 


797841 


67 


4 


197511 


1318 


994540 


34 


202971 


1362 


797029 


66 


5 


198302 


1316 


994519 


34 


203782 


1349 


796218 


65 


6 


199091 


1313 


994499 


34 


204592 


1347 


795408 


54 


7 


199879 


1311 


994479 


34 


205400 


1345 


794600 


63 


8 


200666 


1308 


994459 


34 


206207 


1342 


793793 


62 


9 


201451 


1306 


994438 


34 


207013 


1340 


792987 


51 


10 
11 


202234 
9.203017 


1304 


994418 


34 
34 


207817 


1338 


792183 


50 
49 


1301 


9.994397 


9.208619 


1335 


10.791.381 


12 


203797 


1299 


994377 


34 


209420 


1333 


790580 


48 


13 


204577 


1296 


994357 


34 


210220 


1331 


789780 


47 


14 


205354 


1294 


994336 


34 


211018 


1328 


788982 


46 


15 


206131 


1292 


994316 


34 


211815 


1326 


788185 


45 


16 


206906 


1289 


994295 


34 


212611 


1324 


787389 


44 


17 


207679 


1287 


994274 


35 


213405 


1321 


786595 


43 


18 


208452 


1285 


994254 


35 


214198 


1319 


785802 


42 


19 


209222 


1282 


994233 


35 


214989 


1317 


7850 U 


41 


20 

21 


209992 


1280 


994212 


35 
35 


215780 
9.216568 


1315 


784220 


40 
39 


9.210760 


1278 


9.994191 


1312 


10.783432 


22 


211526 


1275 


994171 


35 


217356 


1310 


782644 


38 


23 


212291 


1273 


994150 


35 


218142 


1308 


781858 


37 


24 


213055 


1271 


994129 


35 


218926 


1305 


781074 


36 


25 


213818 


1268 


994108 


35 


219710 


1303 


780290 


35 


26 


214579 


1266 


994087 


35 


220492 


1301 


779508 


34 


27 


215338 


1264 


994066 


35 


221272 


1299 


778728 


33 


28 


216097 


1261 


994045 


35 


222052 


1297 


777948 


32 


29 


216854 


1259 


994024 


35 


222830 


1294 


777170 


31 


30 
31 


217609 


1257 
1255 


994003 


35 
35 


223606 


1292 


776394 


30 

29 


9.218363 


9.993981 


9.224382 


1290 


10.775618 


32 


219116 


1353 


993960 


35 


225156 


1288 


774844 


28 


33 


219868 


1250 


993939 


35 


225929 


1286 


774071 


27 


34 


220618 


1248 


993918 


35 


226700 


1284 


773300 


26 


35 


221367 


1246 


993896 


36 


227471 


1281 


772529 


25 
24 


36 


222115 


1244 


993875 


36 


228239 


1279 


771761 


37 


222861 


1242 


993854 


36 


229007 


1277 


770993 


23 


38 


223606 


1239 


993832 


36 


229773 


1275 


770227 


22 


39 


224349 


1237 


993811 


36 


230539 


1273 


769461 


21 


40 
41 


225092 
9.225833 


1235 


993789 


36 
36 


231302 


1271 


768698 
10.767935 


20 
19 


1233 


9.993768 


9.232065 


1269 


42 


226573 


1231 


993746 


36 


232826 


1267 


767174 


18 


43 


227311 


1228 


993725 


36 


233.586 


1265 


766414 


17 


44 


228048 


1226 


993703 


36 


234345 


1262 


765655 


16 


45 


228784 


1224 


993681 


36 


235103 


1260 


764897 


15! 


46 


229518 


1222 


993660 


36 


235859 


1258 


764141 


14 


47 


230252 


1220 


993638 


36 


236614 


1256 


763386 


13 


48 


230984 


1218 


993616 


36 


237368 


1254 


762632 


12 
11 
10 

9 


49 


231714 


1216 


993594 


37 


238120 


1252 


761880 


50 
51 


232444 
9.233172 


1214 


993572 


37 
37 


238872 


1250 


761128 


1212 


9.993550 


9.239622 


1248 


10.760378 


52 


233899 


1209 


993528 


37 


240371 


1246 


759629 


8 


53 


234625 


1207 


993506 


37 


241118 


1244 


758882 


7 


64 


235349 


1205 


99.3484 


37 


241865 


1242 


758135 


6 


55 


236073 


1203 


99.3462 


37 


242610 


1240 


757390 


5 


56 


236795 


1201 


99.3440 


37 


243354 


1238 


756646 


4 


57 


237515 


1199 


993418 


37 


244097 


1236 


755903 


3 


68 


238235 


1197 


993396 


37 


244839 


1234 


7.55161 


2 


59 


238953 


1195 


993374 


37 


245579 


1232 


754421 


1 


60 


239670 


1193 


993351 


37 


246319 


1230 


753681 





L 


Cosine 




Sine 1 


Coiang. 




Tan«. |M. 1 



80 Degrees. 



28 


(lODegr 


ees.) A 


TABLE OF LOGARITHMIC 






M. 


Sine 


1 D. 


[ Cosine | D. 


1 Tai.ir. 


1 D. 


1 Cotaiis. 1 




"o" 


9.239670 


1193 


9.993351 


|37 


9.246319 


1230 


10.753681160 




1 


240386 


1191 


993329 


137 


247057 


1228 


752943' 59 




2 


241101 


1189 


993307 


|37 


247794 


1226 


7522061.58 




3 


241814 


1187 


993285 


|37 


248530 


1224 


751470J 57 




4 


242526 


1185 


993262 


|37 


i 249264 


1222 


750736i56 




5 


243237 


1183 


993240 


37 


249998 


1220 


750002:. 55 




6 


243947 


1181 


; 99.3217 


38 


250730 


1218 


749270: .54 




7 


244656 


1179 


; 993195 


38 


251461 


1217 


748539153 




8 


245363 


1177 


1 993172 


'38 


2.52191 


1215 


7478091 52 




9 


246069 


1175 


1 993149 


;38 


252920 


1213 


7470801 51 




10 
11 


246775 
9.247478 


' 1173 
1171 


993127 
9.993104 


'38 
38 


! 253648 
1 9.254374 


1211 


! 746352 


: 50 
' 49 




1209 


|10, 745626 




12 


248181 


1169 


993081 


38 


255100 


1207 


744900. 48 




13 


248SS3 


1167 


993059 


38 


255824 


1205 


7441761 47 




14 


249583 


1165 


993036 


38 


256547 


1203 


.7434531 46 




15 


250282 


1163 


993013 


38 


257269 


1201 


742731145 




Ifi 


2509S0 


1161 


992990 


38 


257990 


1200 


742010 44 




17 


251677 


1159 


992967 


38 


258710 


1198 


741290 43 




18 


252373 


1158 


992944 


38 


259429 


1190 


740571 42 




19 


253067 


1156 


992921 


38 


260146 


1194 


739854 41 




20 


253761 


1154 


992898 


38 


260863 


1192 


739 1 37 1 40 




21 


9.254453 


1152 


9.992875 


38 


9.261578 


1190 


10.738422: 39 




22 


255144 


1150 


992852 


38 


. 262292 


1189 


737708 38 




23 


255834 


1148 


992829 


39 


263005 


1187 


736995 37 




24 


256523 


1146 


992806 


39 


263717 


1185 


736283,. 36 




25 


257211 


1144 


992783 


39 


264428 


1183 


735572 35 




26 


25789a 


1142 


992759 


39 


265138 


1181 


734862! 34 




27 


258583 


1141 


&92736 


39 


265847 


1179 


734153 


33 




2S 


259268 


113& 


992713 


39 


266555 


1178 


733445 


32 




29 


259951 


1137 


992690 


39 


267261 


1176 


732739 


31 




30 
31 


260633 


1135 
1133 


992666 
9 . 992643 


39 
39 


267967 


1174 


732033 


30 

29 




9.261314 


9.268671 


1172 


10.731329 




32 


261994 


1131 


992619 


39 


269375 


1170 


730625 


28 




33 


262673 


1130 


992596 


39 


270077 


1169 


729923 


27 




34 


263351 


1128 


992572 


39 


270779 


1167 


729221126 




35 


264027 


1126 


992549 


39 


271479' 


1165 


728521: 25 




36 


264703 


1124 


992525 


39 


272178 


1164 


727822 24 




37 


265377 


1122 


992501 


39 


272876 


1162 


727124 23 




38 


266051 


1120 


992478 


40 


273573 


1160 


726427 22 




39 


266723 


1119 


992454 


40 


274269 


1158 


725731121 




40 


267395 
9.268065 


1117 


992430 
^.992406 


40 
40 


274964 
9.2756581 


1157 


725036 


20 
19 




41 


1115 


1155 


10.724342 




42 


268734 


1113 


992382 


40 


2763511 


1153 


7236491 18 1 




43 


269402 


1111 


992359 


40 


277043 


1151 


722957 


17 




44 


270069 


1110 


992335 


40 


277734 


1150 


722266 


16 




45 


270735 


1108 


992311 


40 


278424 


1148 


721576 


15 




46 


271400 


1106 


992287 


40 


279113 


1147 


720887 


14 




47 


272064 


1105 


992263 


40 


2798011 


1145 


720199 


13 




48 


272726 


1103 


992239 


40 


280488,' 


1143 


719512 


12 




49 


273388 


1101 


992214 


40 


2811741 


1141 


718826 


11 




50 
51 


274049 
9.274708 


1099 
1098 


992190 
9.992166 


40 
40 


281858' 
9.282542 


1140 


718142 


10 
9 




1138 


10.717458 




52 


275367 


1096 


992142 


40 


283225! 


1136 


716775 


8 




53 


276024 


1094 


992117 


41 


283907 


1135 


716093 


7 




54 


276681 


1092 


992093 


41 


284588, 


1133 


715412 


6 




55 


277337 


1091 


992069 


41 


285268; 


1131 


714732 


5 




56 


277991 


1089 


992044 


41 


285947J 


1130 


714053 


4 




57 


278644 


1087 


992020 


41 


286624! 


1128 


713376 


3 




58 


279297 


1086 


991996 


41 


287301! 


1126 


712699 


2 




59 


279948 


1084 


991971 


41 


2879771 


1125 


712023 


1 




60 


280599 


1082 


991947 


41 


288652' 


1123 


711348 







I 


Cosine j 




.,„e 1 1 


Coiling [ 


1 


Tan?. 1 M. j 





79 D>:gree3. 



SINES AND TANOENT3. ( 1 1 Degrees.) 



29 



M. 


1 Sine 


1 •'. 


1 C..8im- 1 1). 


1 Tang. 


1 D. 


1 Cotaiig. 1 j 


~0 


9.280599 


1082 


9.991947 


41 


9.2886.52 


1123 


10.711348 


60 


1 


2812't8 


1081 


991922 


41 


289326 


1122 


710674 


59 


2 


281897 


1079 


991897 


41 


289999 


1120 


710001 


58 


3 


282544 


1077 


991873 


41 


290671 


1118 


709329 


57 


4 


283190 


1076 


991848 


41 


291342 


1117 


708658 


56 


5 


283836 


1074 


991823 


41 


292013 


1115 


707987 


55 


6 


284480 


1072 


991799 


41 


292682 


1114 


707318 


54 


7 


285124 


1071 


991774 


42 


293350 


1112 


706650 


53 


8 


285766 


1069 


991749 


42 


294017 


nil 


705983 


52 


9 


286408 


1067 


991724 


42 


294684 


1109 


705316 


51 


10 
11 


287048 
9.287687 


1066 


991699 
9.991674 


42 
42 


295349 
9.296013 


1107 


704651 


50 
49 


1064 


1106 


10.703987 


12 


288326 


1063 


991649 


42 


296677 


1104 


703323 


AS 


13 


2SS964 


1061 


991624 


42 


297339 


1103 


702661 


47 


14 


289600 


1059 


991599 


42 


298001 


1101 


701999 


46 


15 


290236 


1058 


991574 


42 


298662 


1100 


701338 


45 


16 


290870 


1056 


991549 


42 


299322 


1098 


700678 


44 


17 


291504 


1054 


991524 


42 


299980 


1096 


700020 


43 


IS 


292137 


1053' 


991498 


42 


300638 


1095 


699362 


42 


19 


292768 


1051 


991473 


42 


301295 


1093 


698705 


41 


•20 
21 


293399 
9.294029 


1050 


991448 
9.991422 


42 
42 


301951 
9.302607 


1092 
1090 


698049 


40 
39 


1048 


10.697393 


22 


294658 


1046 


991397 


42 


303261 


1089 


696739 


38 


23 


295286 


1045 


991372 


43 


303914 


1087 


696086 


37 


24 


295913 


1043 


991346 


43 


304567 


1086 


695433 


36 


25 


296539 


1042 


991321 


43 


305218 


1084 


694782 


35 


26 


297164 


1040 


991295 


43 


30.5869 


1083 


694131 


34 


27 


297788 


1039 


991270 


43 


306519 


1081 


693481 


33 


28 


298412 


1037 


991244 


43 


307168 


1080 


692832 


32 


29 


299034 


1036 


991218 


43 


307815 


1078 


692185 


31 


30 
31 


299655 
9.300276 


1034 


991193 


43 
43 


308463 
9.309109 


1077 


691537 


30 

29 


1032 


9.991167 


1075 


10.690891 


33 


300395 


1031 


991141 


43 


3097.54 


1074 


690246 


28 


33 


301514 


1029 


991115 


43 


310398 


1073 


689602 


27 


34 


302132 


1028 


991090 


43 


311042 


1071 


688958 


26 


35 


302748 


1026 


991064 


43 


311685 


1070 


688315 


25 


36 


303364 


1025 


991038 


43 


312327 


1068 


687673 


24 
23 


37 


303979 


1023 


991012 


43 


312967 


1067 


687033 


38 


304593 


1022 


990986 


43 


313608 


1065 


686392 


22 


39 


305207 


1020 


990960 


43 


314247 


1064 


685753 


21 


40 
41 


305819 
9.306430 


1019 


990934 
9.990908 


44 
44 


314SR5 
9.31.5,523 


1062 


685115 


20 
19 


1017 


1061 


10.68'W77 


42 


307041 


1016 


990882 


44 


316159 


1060 


683841 


IS 


43 


307650 


1014 


990855 


44 


316795 


1058 


683205 


17 


44 


308259 


1013 


990829 


44 


317430 


1057 


682570 


16 


45 


308867 


lOll 


990803 


44 


318064 


1055 


681936 


15 


46 


309474 


1010 


990777 


44 


318697 


10.54 


681303 


14 


47 


310080 


1008 


990750 


44 


319329 


1053 


680671 


13 


48 


310685 


1007 


990724 


44 


319961 


1051 


680039 


12 


49 


311289 


1005 


990697 


44 


320592 


10.50 


679408 


11 


50 
51 


311893 
9.312495 


1004 
1003 


990671 


44 

44 


321222 
9.321851 


1048 


678778 


10 
9 


9.990644 


1047 


10.678149 


52 


313097 


1001 


990618 


44 


322479 


1045 


677.521 


8 


53 


313698 


1000 


990591 


44 


323106 


1044 


6768^4 


7 


54 


314297 


998 


990565 44 


323733 


1043 


676267 


6 


55 


314897 


997 


9905.38 44 


324358 


1041 


675642 


5 


56 


315495 


996 


990511 45 


324983 


1040 


675017 


4 


57 


316092 


994 


990485 45 


325607 


1039 


674.393 


3 


58 


316689 


993 


990458 45 


326231 


1037 


673769 


2 


59 


317284 


991 


990431 45 


3268.53 


1036 


673147 


1 


60 


317879 


990 


990404 45 


327475 


10.35 


672525 




Cosine 1 




riiiie 1 


CotaiiLf. 




Tang. 1 








7c 


Peg 


rces. 









30 (12 Degrees.) a table of LoeARiTHMic 

f M. I Sine \ D. 



Tang. I D. | Cotang. 






9.317879 


990 


9.990404 45 


9.327474 


1035 


10.672526 


60 


1 


318473 


988 


990378 


45 


328095 


1033 


671905 


59 


2 


319066 


987 


990351 


45 


328715 


1032 


671285 


58 


3 


319658 


986 


990324 


45 


329334 


1030 


670666 


57 


4 


320249 


984 


990297 


45 


329953 


1029 


670047 


56 


5 


320840 


983 


990270 


45 


330570 


1028 


669430 


55 


6 


321430 


982 


990243 


45 


331187 


1026 


668813 


54 


7 


322019 


980 


990215 


45 


331803 


1025 


668197 


53 


8 


322607 


979 


990188 


45 


332418 


1024 


667582 


52 


9 


323194 


977 


990161 


45 


333033 


1023 


666967 


51 


10 
11 


323780 


976 
975 


990134 


45 
46 


333646 


1021 
1020 


666354 
10.665741 


50 


9.324366 


9.990107 


9.334259 


49 


12 


324950 


973 


990079 


46 


334871 


1019 


665129 


48 


13 


325534 


972 


990052 


46 


335482 


1017 


664518 


47 


14 


326117 


970 


990025 


46 


336093 


1016 


663907 


46 


15 


326700 


969 


989997 


46 


336702 


1015 


663298 


45 


16 


327281 


968 


989970 


46 


337311 


1013 


662689 


44 


17 


327862 


966 


989942 


46 


337919 


1012 


662081 


43 


18 


328442 


965 


989915 


46 


338527 


1011 


661473 


42 


19 


329021 


964 


989887 


46 


339133 


1010 


660867 


41 


20 

21 


329599 


962 


989860 


46 
46 


339739 
9.340344 


1008 


660261 


40 


9.330176 


961 


9.989832 


1007 


10.659656 


39 


22 


330753 


960 


989804 


46 


340948 


1006 


659052 


38 


23 


331329 


958 


989/// 


46 


341552 


1004 


658448 


37 


24 


331903 


957 


989749 


47 


342155 


1003 


657845 


36 


25 


332478 


956 


989721 


47 


342757 


1002 


657243 


35 


26 


333051 


954 


989693 


47 


343358 


1000 


656642 


34 


27 


333624 


953 


989665 


47 


S43958 


999 


656042 


33 


28 


334195 


952 


989637 


47 


344558 


998 


655442 


32 


29 


334766 


950 


989609 


47 


345157 


997 


654843 


31 


30 
31 


335337 


949 


989582 
9.989553 


47 
47 


345755 
9.340353 


996 


654245 


30 


9.335906 


948 


994 


10.653647 


29 


32 


336475 


946 


989525 


47 


346949 


993 


653051 


28 


33 


337043 


945 


989497 


47 


347545 


992 


652455 


27 


34 


337610 


944 


989469 


47 


348141 


991 


651859 


26 


35 


.338176 


943 


989441 


47 


348735 


990 


651265 


25 


36 


338742 


941 


989413 


47 


349329 


988 


650671 


24 


37 


339306 


940 


989384 


47 


349922 


987 


650078 


23 


38 


339871 


939 


989356 


47 


350514 


986 


649486 


22 


39 


340434 


937 


989328 


47 


351106 


985 


648894 


21 


40 
41 


340996 


936 


989300 
9.989271 


47 
47 


351697 


983 

982 


648303 


20 


9.341558 


935 


9.3522^yi' 


10.647713 


19 


42 


342119 


934 


989243 


47 


352876 


981 


647124 


18 


43 


342679 


932 


989214 


47 


353465 


980 


646535 


17 


44 


343239 


931 


989186 


47 


354053 


979 


645947 


16 


45 


343797 


930 


989157 


47 


354640 


977 


645360 


15 


46 


344355 


929 


989128 


48 


355227 


976 


644773 


14 


47 


344912 


927 


989100 


48 


355813 


975 


644187 


13 


48 


345469 


926 


989071 


48 


356398 


974 


643602 


12 


49 


346024 


925 


989042 


48 


356982 


973 


643018 


11 


50 
51 


346579 


924 


989014 


48 
48 


357566 
9.358149 


971 
970 


642434 


10 


9.347134 


922 


9.988985 


10.641851 


9 


52 


347687 


921 


988956 


48 


358731 


969 


641269 


8 


53 


348240 


920 


988927 


48 


359313 


968 


640687 


7 


54 


348792 


919 


988898 


48 


359893 


967 


640107 


6 


55 


349343 


917 


988869 


48 


360474 


966 


639526 


5 


56 


349893 


916 


988840 


48 


361053 


965 


638947 


4 


57 


350443 


915 


988811 


49 


361632 


963 


638368 


3 


58 


350992 


914 


988782 


49 


362210 


962 


637790 


2 


59 


351540 


913 


988753 


49 


362787 


961 


637213 


1 


60 


352088 


911 


988724 


49 


303364 


960 


636636 






I { Cutang. I 



Tang I M. 





SINES AND TANGENTS. (13 DegrCCS 


.) 


31 


M. 


1 Sine 


D. 


Cosine | D. 


Tan?. 


D. 


Cotang. 1 1 


^ 


9.3520t38 


911 


9.988724 


49 


9.363364 


960 


10.636636 


60 


1 


352635 


910 


988695 


49 


363940 


959 


636060 


59 


2 


353181 


909 


988666 


49 


364515 


958 


63.5485 


58 


3 


353726 


908 


988636 


49 


365090 


957 


634910 


57 


4 


354271 


907 


988607 


49 


365664 


955 


634336 


56 


5 


354815 


905 


988578 


49 


366237 


954 


633763 


55 


6 


355358 


904 


988548 


49 


366810 


953 


633190 


54 


7 


355901 


903 


988519 


49 


367382 


952 


632618 


53 


8 


356443 


902 


988489 


49 


367953 


951 


632047 


52 


9 


356984 


901 


988460 


49 


368524 


950 


631476 


51 


10 
11 


357524 


899 


988430 
9.988401 


49 
49 


369094 


949 


630906 


50 

49 


9.358064 


898 


9.369663 


948 


10.630337 


12 


358603 


897 


988371 


49 


370232 


946 


629768 


48 


13 


359141 


896 


988342 


49 


370799 


945 


629201 


47 


14 


359678 


895 


988312 


50 


371367 


944 


628633 


46 


15 


360215 


893 


988282 


50 


371933 


943 


628067 


45 


16 


360752 


892 


988252 


50 


372499 


942 


627501 


44 


17 


361287 


891 


988223 


50 


373064 


941 


626936 


43 


18 


361S22 


890 


988193 


50 


373629 


940 


626371 


42 


19 


362356 


889 


988163 


50 


374193 


939 


625807 


41 


20 

21 


362889 


888 


988133 
9.988103 


50 
50' 


374756 


938 


625244 


40 
39 


9.363422 


887 


9.375319 


937 


10.624681 


22 


363954 


885 


988073 


50 


875881 


9.35 


624119 


38 


23 


364485 


884 


988043 


50 


376442 


934 


623558 


37 


24 


365016 


883 


988013 


50 


377003 


933 


622997 


36 


25 


365546 


882 


987983 


50 


377563 


932 


622437 


35 


26 


366075 


881 


987953 


50 


378122 


931 


621878 


34 


27 


366604 


880 


987922 


50 


378681 


930 


621319 


33 


28 


367131 


879 


987892 


50 


379239 


929 


620761 


32 


29 


367659 


877 


987862 


50 


379797 


928 


620203 


31 


30 
31 


368185 


876 


987832 
9.987801 


51 
51 


380354 


927 


619646 


30 

29 


9.368711 


875 


9.380910 


926 


10.619090 


32 


369236 


874 


987771 


51 


.381466 


925 


618534 


28 


33 


369761 


873 


987740 


51 


382020 


924 


617980 


27 


34 


370285 


872 


987710 


51 


382575 


923 


617425 


26 


35 


370808 


871 


987679 


51 


383129 


922 


616871 


25 


36 


371330 


870 


987649 


51 


383682 


921 


616318 


24 


37 


371852 


869 


987618 


51 


384234 


920 


615766 


23 


38 


372373 


867 


987588 


51 


384786 


919 


615214 


22 


39 


372894 


866 


987557 


51 


385337 


918 


614663 


21 


40 

41 


373414 


865 


987526 
9.987496 


51 
51 


385888 


917 


614112 


20 
19 


9.373933 


864 


9.3864.38 


915 


10.613562 


42 


374452 


863 


987465 


51 


386987 


914 


613013 


18 


43 


374970 


862 


987434 


51 


387536 


913 


612464 


17 


44 


375487 


861 


987403 


52 


388084 


912 


611916 


16 


45 


376003 


860 


987372 


52 


388631 


911 


611.369 


15 


46 


376519 


859 


987341 


52 


389178 


910 


610822 


14 


47 


377035 


858 


997310 


52 


389724 


909 


610276 


13 


48 


377.549 


857 


987279 


52 


390270 


908 


609730 


12 


49 


3780G3 


856 


987248 


52 


390815 


907 


609185 


11 


50 
51 


378577 


8.54 


987217 
9.987186 


52 
52 


391360 


906 


608640| 10 1 


9.379089 


853 


9.391903 


905 


10.608097 


9 


52 


379601 


852 


987155 


52 


392447 


904 


607553 


8 


53 


380113 


851 


987124 


52 


392989 


903 


607011 


7 


54 


380624 


850 


987092 


52 


393531 


902 


606469 


6 


55 


381134 


849 


987061 


52 


394073 


901 


605927 


5 


56 


381643 


848 


987030 


52 


394614 


900 


605386 


4 


57 


382152 


847 


986998 


52 


3951.54 


899 


604846 


3 


58 


382'661 


846 


986967 


52 


395694 


898 


004300 


2 


59 


383168 


845 


986936 


52 


396233 


897 


603767 


1 


60 


383675 


844 


986904 


52 


396771 


896 


60322!) 1 


! 


OiMlli- 1 




Hitie 1 


C.)t;inc. 




1 «.-u„. |.M. 



«tj Degrees. 



32 


(14 Degrees.) a 


TABLE OF LOGAKITHMIC 




nr 


Sine 


D. 


Cosine | D. 


Tan,. 1 


D. 


Cotang. 1 1 





9.383675 


844 


9.986904 


52 


9.396771 


896 


10.603229 


60 


1 


384182 


843 


986873 


53 


397309 


896 


602691 


59 


2 


384687 


842 


986841 


53 


397846 


895 


602154 


58 


3 


385192 


841 


986809 


53 


398383 


894 


601617 


57 


4 


385697 


840 


986778 


53 


398919 


893 


601081 


56 


5 


386201 


839 


986746 


53 


399455 


892 


600545 


55 


6 


386704 


838 


986714 


53 


399990 


891 


600010 


54 


7 


387207 


837 


986683 


53 


400524 


890 


599476 


53 


8 


387709 


836 


986651 


53 


401058 


889 


598942 


52 


9 


388210 


8.35 


986619 


53 


401591 


888 


598409 


51 


10 

11 


388711 


834 


986587 
9.986555 


53 
53 


402124 


887 


597876 


50 
49 


9.389211 


833 


9.402656 


886 


10.597344 


12 


389711 


832 


986523 


53 


403187 


885 


,596813 


48 


13 


390210 


831 


986491 


53 


403718 


884 


596282 


47 


14 


390708 


830 


986459 


53 


404249 


883 


595751 


46 


15 


391206 


828 


986427 


53 


404778 


882 


595222 


45 


16 


391703 


827 


986396 


53 


405308 


881 


594692 


44 


17 


392199 


826 


986363 


54 


405836 


880 


594164 


43 


18 


392695 


825 


986331 


54 


406364 


879 


593636 


42 


19 


393191 


824 


986299 


54 


406892 


878 


593108 


41 


20 

21 


393685 


823 


986266 
9.986234 


54 
54 


407419 


877 


592581 
10.592055 


40 
39 


9.394179 


822 


9.407945 


876 


22 


394673 


821 


986202 


54 


408471 


875 


591529 


38 


23 


395166 


820 


986169 


54 


408997 


874 


591003 


37 


24 


395658 


819 


986137 


54 


409521 


874 


590479 


36 


25 


396150 


818 


986104 


54 


410045 


873 


589955 


35 


26 


396641 


817 


986072 


54 


410569 


872 


689431 


34 


27 


397132 


17 


986039 


54 


411092 


871 


.588908 


33 


28 


397621 


816 


986007 


54 


411615 


870 


588385 


32 


29 


398111 


815 


985974 


54 


412137 


869 


.587863 


31 


30 
31 


398600 


814 


985942 
9.9S5909 


54 
55 


412658 


868 


587342 


30 
29 


9.399088 


813 


9.413179 


867 


10.586821 


32 


399575 


812 


985876 


55 


413699 


866 


586301 


28 


33 


400062 


811 


985843 


55 


414219 


865 


585781 


27 


34 


400549 


810 


985811 


55 


414738 


864 


58.5262 


26 


35 


401035 


809 


985778 


55 


41.5257 


864 


584743 


25 


36 


401520 


808 


985745 


55 


415775 


863 


584225 


24 


37 


402005 


807 


985712 


55 


• 416293 


862 


583707 


23 


38 


402489 


806 


985679 


55 


416810 


861 


583190 


22 


39 


402972 


805 


985646 


55 


417326 


860 


582674 


21 


40 
41 


403455 


804 


985613 


55 
55 


417842 


859 


582158 


20 
19 


9.403938 
404420 


803 


9.985580 


9.418358 


858 


10.581642 


42 


802 


985547 


55 


418873 


857 


581127 


18 


43 


404901 


801 


985514 


55 


419387 


858 


580613 


17 


44 


405382 


800 


985480 


55 


419901 


855 


580099 


16 


45 


405862 


799 


985447 


55 


420415 


855 


579585 


15 


46 


406341 


798 


98.5414 


56 


420927 


854 


579073 


14 


47 


406820 


797 


985380 


56 


421440 


853 


578560 


13 


48 


407299 


796 


985347 


56 


421952 


852 


578048 


12 


49 


407777 


795 


985314 


56 


422463 


851 


577537 


11 


50 
51 


408254 


794 


985280 


56 
56 


422974 


850 


577026 


10 
9 


9.408731 


794 


9.985247 


9.423484 


849 


10.576510 


52 


409207 


793 


985213 


56 


423993 


848 


576007 


8 


53 


409682 


792 


985180 


56 


424503 


848 


575497 


7 


54 


410157 


791 


985146 


56 


425011 


847 


674989 


6 


55 


410632 


790 


985113 


56 


425519 


846 


574481 


5 


56 


411106 


789 


985079 


56 


426027 


845 


573973 


4 


57 


411579 


788 


985045 


56 


426534 


844 


673466 


3 


58 


412052 


787 


985011 


56 


427041 


843 


572959 


2 


59 


412524 


786 


984978 


56 


427547 


843 


572453 


1 


J60_ 


412996 


785 


984944 


56 


428052 


842 


571948 





~ 


Co.-ine 




Sine 1 


1 C..,a>,,. 




1 Tang. | M. | 



73 Degrees. 





SINES AND TANGENTS. (15 


Degrees.} 


33 


M. 


1 Sine 


D. 


1 Cosine | D. 


1 Tan^'. 


1 D. 


Cotaiig. 1 1 


"o" 


9.412996 


785 


9.984944 


57 


9.428052 


842 


10.571948 


60 




413467 


784 


984910 


57 


428557 


841 


571443 


59 


2 


413938 


783 


984876 


57 


429062 


840 


570938 


58 


3 


414408 


783 


984842 


57 


429566 


839 


570434 


57 


4 


414878 


782 


984808 


57 


430070 


838 


5699.30 


56 


5 


415347 


781 


984774 


57 


430573 


838 


569427 


55 


6 


415815 


780 


984740 


57 


431075 


837 


568925 


54 


7 


416283 


779 


984706 


57 


431577 


836 


568423 


53 


8 


416751 


778 


984672 


57 


432079 


835 


567921 


52 


9 


417217 


777 


984637 


57 


432580 


834 


567420 


51 


10 
11 


417684 


770 


984603 


57 
57 


433080 


833 


566920 
10.566420 


50 
49 


9.418150 


775 


9.984569 


9.433580 


832 


12 


418615 


774 


984535 


57 


434080 


832 


565920 


48 


13 


419079 


773 


984500 


57 


434579 


831 


56.5421 


47 


14 


419544 


773 


984466 


57 


435078 


830 


564922 


46 


15 


420007 


772 


984432 


58 


435576 


829 


564424 


45 


16 


420470 


771 


984397 


58 


43607:^ 


828 


563927 


44 


17 


420933 


770 


984363 


58 


436570 


828 


563430 


43 


18 


421395 


769 


984328 


58 


437067 


827 


562933 


42 


19 


421857 


768 


984294 


58 


437563 


826 


562437 


41 


20 

21 


422318 


767 


984259 


58 
58 


438059 
9.438554 


825 
824 


561941 
10.561446 


40 
39 


9 422778 


767 


9.984224 




42.3238 


766 


984190 


58 


439048 


823 


560952 


38 


•3:3 


423697 


765 


9841.55 


58 


439.543 


823 


560457 


37 


2-1 


424156 


764 


984120 


58 


440036 


822 


559964 


36 


2') 


424615 


763 


984085 


58 


440529 


821 


559471 


35 




425073 


762 


984050 


58 


441022 


820 


5.58978 


34 


27 


425530 


761 


984015 


58 


441514 


819 


558486 


33 


2-^ 


425987 


760 


983981 


58 


442006 


819 


657994 


32 


29 


426443 


760 


983946 


58 


442497 


818 


557503 


31 


30 
31 


426899 


759 


983911 
9.983875 


58 

58 


442988 
9. '143479 


817 


557012 


30 

29 


9.427354 


758 


816 


10.556521 


32 


427809 


757 


983840 


59 


443968 


816 


556032 


28 


33 


428263 


756 


983805 


59 


444458 


815 


555542 


27 


34 


428717 


755 


983770 


59 


444947 


814 


555053 


26 


35 


429170 


754 


983735 


59 


445435 


813 


554565 


25 


36 


429623 


753 


983700 


59 


445923 


812 


554077 


24 


37 


430075 


752 


983664 


59 


446411 


812 


553589 


23 


38 


430527 


752 


983629 


59 


446898 


8U 


553102 


22 


39 


430978 


751 


983.594 


59 


447384 


810 


552616 


21 


40 
41 


431429 


750 


9835.58 
9.983.523 


59 
59 


447870 
&.448356 


809 
809 


552130 


20 
19 


9.431879 


. 749 


10.551644 


42 


432329 


749 


983487 


59 


448841 


808 


5511.59 


18 


43 


432778 


748 


98.3452 


59 


449326 


807 


550674 


17 


44 


433226 


747 


983416 


59 


449810. 


806 


550190 


16- 


45 


433675 


746 


983.381 


5» 


450294 


806 


.549706 


15 


46 


434122 


745 


983345 


59 


4.50777 


805 


549223 


14 


47 


434569 


744 


983309 


59 


451260 


804 


648740 


13 


48 


43.5016 


744 


983273 


60 


451743 


803 


548257 


12 


49 


435462 


743 


983238 


60 


452225 


802 


547775 


11 


50 

51 


435908 
9.436.353 


742 


983202 
9.983166 


60 
60 


452706 


802 


.547294 


10 
9 


741 


9.4.53187 


801 


10.. 5468 13 


52 


436798 


740 


983130 


60 


453668 


800 


546332 


8 


53 


437242 


740 


983094 


60 


4.^)4148 


799 


545852 


7 


54 


437686 


739 


983058 


60 


454628 


799 


545372 


6 


55 


438129 


738 


983022 


60 


455107 


798 


544893 


5 


56 


438572 


737 


982986 


60 


455.586 


797 


614414 


4 


57 


439014 


736 


982950 


60 


456064 


796 


543936 


3 


58 


439456 


736 


982914 


60 


456.542 


796 


543458 


2 


59 


439897 


735 


982878 


60 


457019 


795 


542981 


1 


60 


440338 


734 


982842 


60 


457496 


794 


542504 







C<«ine 1 




.,„, 1 


C"olanj{. 




1 Tang. 1 M. | 



74 Degrees. 

E 



34 


(16 Degrees.) a 


TABLE OF LOGARITHMIC 




M. 


Sine 


D. 


Cosine | D. 


Tanfj. 


D. 


Cotang. 1 "1 





9.440338 


734 


9.982842 


60 


9.467496 


794 


10.642504 


60 


1 


440778 


733 


982805 


60 


457973 


793 


542027 


69 


2 


441218 


732 


982769 


61 


458449 


793 


541551 


58 


3 


441658 


731 


982733 


61 


458925 


792 


541075 


57 


4 


442096 


731 


982696 


61 


459400 


791 


540600 


56 


5 


442535 


730 


982660 


61 


459875 


790 


640125 


56 


6 


442973 


729 


982624 


61 


460349 


790 


539651 


54 


7 


443410 


728 


982587 


61 


460823 


789 


539177 


63 


8 


443847 


727 


982551 


61 


461297 


788 


538703 


52 


9 


444284 


727 


982514 


61 


461770 


788 


538230 


n 


10 
11 


444720 


726 


982477 
9.982441 


61 
61 


462242 


787 
786 


537758 
10.637286 


50 

49 


9.445155 


725 


9.462714 


12 


445590 


724 


982404 


61 


463186 


785 


536814 


48 


vs 


446025 


723 


982367 


61 


463658 


785 


536342 


47 


14 


446459 


723 


982331 


61 


464129 


784 


536871 


46 


15 


446893 


722 


982294 


01 


464599 


783 


535401 


45 


16 


447326 


721 


982257 


61 


465069 


783 


534931 


44 


17 


447759 


720 


982220 


62 


465539 


782 


534461 


43 


18 


448191 


720 


982183 


62 


466008 


781 


533992 


42 


19 


448623 


719 


982146 


62 


466476 


780 


533524 


41 


20 
21 


449054 


718 


982109 
9.982072 


62 
62 


466945 


780 


633056 
10.532587 


40 
39 


9.449485 


717 


9.467413 


779 


22 


449915 


716 


982035 


62 


467880 


778 


632120 


38 


23 


450345 


716 


981998 


62 


468347 


778 


531653 


37 


24 


450775 


715 


981961 


62 


468814 


777 


631186 


36 


25 


451204 


714 


981924 


62 


469280 


776 


530720 


35 


26 


451632 


713 


981886 


62 


469746 


775 


530254 


34 


27 


452060 


713 


981849 


62 


470211 


775 


529789 


33 


28 


452488 


712 


981812 


62 


470676 


774 


529324 


32 


29 


452915 


711 


981774 


62 


471141 


773 


528859 


31 


30 
31 


453342 


710 


981737 
9.981699 


62 
63 


471605 
9.472068 


773 


628395 


30 
29 


9.453768 


710 


772 


10.527932 


32 


454194 


709 


981662 


63 


472532 


771 


527468 


28 


33 


454619 


708 


981625 


63 


472995 


771 


527005 


27 


34 


455044 


707 


981587 


63 


473467 


770 


526543 


26 


35 


455469 


707 


981549 


63 


473919 


769 


.526081 


25 


36 


455893 


706 


981512 


63 


474381 


769 


626619 


24 


37 


456316 


705 


981474 


63 


474842 


768 


625168 


23 


38 


456739 


704 


981436 


63 


475303 


767 


524697 


22 


39 


457162 


704 


981399 


63 


475763 


767 


524237 


21 


40 


457584 


703 


981361 


63 


476223 


766 


623777 


20 


41 


9.458006 


702 


9.981323 


63 


9.476683 


765 


JO. 523317 


19 


42 


458427 


701 


981285 


63 


477142 


765 


522858 


18 


43 


458848 


701 


981247 


63 


477601 


764 


522399 


17 


44 


459268 


700 


981209 


63 


478059 


763 


621941 


16 


45 


459688 


699 


981171 


63 


478517 


763 


521483 


16 


46 


460108 


698 


981133 


64 


478975 


762 


621025 


14 


47 


460527 


698 


981095 


64 


479432 


761 


520568 


13 


48 


460946 


697 


981057 


64 


479889 


761 


520111 


12 


49 


461364 


696 


981019 


64 


480345 


760 


519666 


11 


50 
51 


461782 


695 


980981 


64 
64 


480801 


759 


519199 
10.618743 


10 
9 


9.462199 


695 


9.980942 


9.481257 


759 


52 


462616 


694 


980904 


64 


481712 


758 


618288 


8 


53 


463032 


693 


980866 


64 


482167 


757 


517833 


7 


54 


463448 


693 


980827 


64 


482621 


767 


517379 


6 


55 


463864 


692 


980789 


64 


483075 


766 


516925 


5 


56 


464279 


691 


980750 


64 


483529 


765 


516471 


4 


67 


464694 


690 


980712 


64 


488982 


756 


516018 


3 


58 


465108 


690 


980673 


64 


484435 


764 


515565 


2 


59 


465522 


689 


980635 


64 


484887 


763 


515113 


1 


60 


465935 


688 


980596 


64 


485339 


763 


514661 







Cosine 




1 Sine 1 


Cotang. 




1 Tang. |M.| 



73 Degrees. 





SINES AND TANGENTS. (17 Degrees 





35 


M. 


Sine 1 


D. 


Cosine 1 D. 


1 Tang. 


D. 


Cotang. 1 1 


'^ 


9.465935 


688 


9.980596 


64 


9.485339 


755 


10.514661 


60 


1 


466348 


688 


980558 


64 


485791 


752 


514209 


59 


2 


466761 


687 


980519 


65 


486242 


751 


513758 


58 


3 


467173 


686 


980480 


65 


486693 


751 


513307 


57 


4 


467585 


685 


980442 


65 


487143 


750 


512857 


56 


5 


467996 


685 


980403 


65 


487593 


749 


512407 


55 


6 


468407 


684 


980364 


65 


488043 


749 


511957 


54 


7 


468817 


683 


980325 


65 


488492 


748 


511508 


53 


8 


469227 


683 


980286 


65 


488941 


747 


511059 


52 


9 


469637 


682 


980247 


65 


489390 


747 


510610 


51 


10 
11 


470046 


681 


980208 
9.980169 


65 
65 


489838 


746 


510162 


50 
49 


9.470455 


680 


9.490286 


746 


10.509714 


12 


470863 


680 


980130 


65 


490733 


745 


509267 


48 


13 


471271 


679 


980091 


65 


491180 


744 


508820 


47 


14 


471679 


678 


980052 


65 


491627 


744 


508373 


46 


15 


472086 


678 


980012 


65 


492073 


743 


507927 


45 


16 


472492 


677 


979973 


65 


492519 


743 


507481 


44 


17 


472898 


676 


979934 


66 


492965 


742 


507035 


43 


18 


473304 


676 


979895 


66 


493410 


741 


506590 


42 


19 


473710 


675 


979855 


66 


493854 


740 


506143 


41 


20 
21 


474115 


674 


979816 


66 
66 


494299 


740 


505701 
10.505257 


40 
39 


9.474519 


674 


9.979776 


9.494743 


740 


22 


474923 


673 


979737 


66 


495186 


739 


504814 


38 


23 


47.5327 


672 


979697 


66 


495630 


738 


504370 


37 


24 


475730 


672 


979658 


66 


496073 


737 


503927 


36 


25 


476133 


671 


979618 


66 


490515 


737 


503485 


35 


26 


476536 


670 


979579 


66 


496957 


736 


503043 


34 


27 


476938 


669 


979539 


66 


497399 


736 


502601 


33 


28 


477340 


669 


979499 


66 


497841 


735 


502159 


32 


29 


477741 


668 


979459 


66 


498282 


734 


501718 


31 


30 
31 


478142 


667 


979420 


66 
66 


498722 


734 


501278 
10.500837 


30 

29 


9.478542 


667 


9.979380 


9.499163 


733 


32 


478942 


666 


979340 


66 


499603 


733 


500397 


28 


33 


479312 


665 


979.300 


67 


500042 


732 


499958 


27 


34 


A79741 


665 


979260 


67 


500481 


731 


499519 


26 


35 


480140 


664 


979220 


67 


500920 


731 


499080 


25 


36 


480539 


663 


979180 


67 


501359 


730 


498641 


24 


37 


480937 


663 


979140 


67 


501797 


730 


498203 


23 


38 


481334 


662 


979100 


67 


502235 


729 


497765 


22 


39 


481731 


661 


979059 


67 


502672 


728 


497328 


21 


40 
41 


482128 


661 


979019 
9.978979 


67 
67 


503109 
9.503.546 


728 


496891 
10.496454 


20 
19 


9.482525 


660 


727 


42 


482921 


6.59 


978939 


67 


503982 


727 


496018 


18 


43 


48.^316 


659 


978898 


67 


504418 


726 


495582 


17 


44 


483712 


6.58 


978858 


67 


604854 


725 


495146 


16 


45 


484107 


657 


978817 


67 


505289 


725 


494711 


15 


46 


484501 


657 


978777 


67 


505724 


724 


494276 


14 


47 


484895 


6.56 


978736 


67 


506159 


724 


493841 


13 


48 


485289 


655 


978696 


68 


506593 


723 


493407 


12 


49 


485682 


655 


978655 


68 


507027 


722 


492973 


11 


50 
51 


486075 
9.486467 


654 


978615 


68 
68 


.507460 
9.507893 


722 
721 


492540 


10 
9 


653 


9.978574 


10.492107 


52 


486860 


6.53 


978533 


68 


508326 


721 


491674 


8 


53 


487251 


6.52 


978493 


68 


.508759 


720 


491241 


7 


54 


487643 


651 


978452 


68 


509191 


719 


490809 


6 


55 


488034 


651 


978411 


68 


.509622 


719 


490378 


5 


56 


488424 


650 


978370 


68 


5100.54 


718 


489946 


4 


57 


488814 


650 


978329 


68 


510485 


718 


489515 


3 


58 


489204 


649 


978288 


68 


510916 


717 


489084 


2 


59 


489593 


648 


978247 


68 


511346 


716 


488654' 1 


60 


489982 


648 


978206 


68 


511776 


716 


488224 1 


^^^ 


Cosine 


1 


Hiue 1 


ColaiiL'. 




1 ■liiun. j M. 



72 Degrot's. 



86 


(18 Degrees.) a 


TABLE OF LOGARITHMIC 






Sine 


D. 


1 Cosine | I). 


1 Tang. 


D. 


1 Cotanff. 1 1 


"o" 


9.489982 


648 


9.978206' 68 


9.511776 


716 


10.488224 


60 


1 


490371 


648 


978165 


68 


512206 


716 


487794 


59 


2 


490759 


647 


978124 


68 


512635 


715 


487365 


58 


3 


491147 


646 


978083 


69 


513064 


714 


486936 


57 


4 


491535 


646 


978042 


69 


513493 


714 


486507 


56 


5 


491922 


645 


978001 


69 


513921 


713 


486079 


55 


6 


492308 


644 


977959 


69 


514349 


713 


485651 


54 


7 


492695 


644 


977918 


69 


514777 


712 


485223 


53 


8 


493081 


643 


977877 


69 


515204 


712 


484796 


52 


9 


493466 


642 


977835 


69 


515631 


711 


484369 


51 


10 
11 


493851 


642 


977794 


69 
69 


516057 


710 


483943 
10.483516 


50 
49 


9.494236 


641 


9.977752 


9.516484 


710 


12 


494621 


641 


977711 


69 


516910 


709 


483090 


48 


13 


495005 


640 


977669 


69 


517335 


709 


482665 


47 


14 


495388 


639 


977628 


69 


517761 


708 


482239 


46 


15 


495772 


639 


977586 


69 


518185 


708 


481815 


45 


16 


496154 


638 


977544 


70 


518610 


707 


481390 


44 


17 


496537 


637 


977503 


70 


519034 


706 


480966 


43 


18 


496919 


637 


977461 


70 


519458 


706 


480542 


42 


19 


497301 


636 


977419 


70 


519882 


705 


480118 


41 


20 
21 


497682 


636 


977377 


70 
70 


520305 


705 


479695 
10.479272 


40 
39 


9.498064 


635 


9.977335 


9.520728 


704 


22 


498444 


634 


977293 


70 


521151 


703 


478849 


38 


23 


498825 


634 


977251 


70 


521573 


703 


478427 


37 


24 


499204 


633 


977209 


70 


521995 


703 


478005 


36 


25 


499584 


632 


977167 


70 


522417 


702 


477583 


35 


26 


499963 


632 


977125 


70 


522838 


702 


477162 


34 


27 


500342 


631 


977083 


70 


523259 


701 


476741 


33 


28 


500721 


631 


977041 


70 


523680 


701 


476320 


32 


29 


501099 


630 


976999 


70 


524100 


700 


475900 


31 


30 
31 


.501476 


629 


976957 


70 

70 


524520 


699 


475480 


30 

29 


9.501854 


629 


9.976914 


9.524939 


699 


10.475061 


32 


502231 


628 


976872 


71 


525359 


698 


474641 


28 


33 


502607 


628 


976830 


71 


525778 


698 


474222 


27 


34 


502984 


627 


976787 


71 


526197 


697 


473«03 


26 


35 


503360 


626 


976745 


71 


526615 


697 


473385 


25 


36 


503735 


626 


976702 


71 


527033 


696 


472967 


24 


37 


504110 


625 


976660 


71 


527451 


696 


472549 


23 


38 


504485 


625 


976617 


71 


527868 


695 


472132 


22 


39 


504860 


624 


976574 


71 


528285 


695 


471715 


21 


40 
41 


505234 


623 


976532 
9.976489 


71 
71 


528702 


694 


471298 


20 
19 


9.505608 


623 


9.529119 


693 


0.470881 


42 


505981 


622 


976446 


71 


529535 


693 


470465 


18 


43 


506354 


622 


976404 


71 


529950 


693 


470050 


17 


44 


506727 


621 


976361 


71 


530366 


692 


469634 


16 


45 


507099 


620 


976318 


71 


530781 


691 


469219 


15 


46 


507471 


620 


976275 


71 


531196 


691 


468804 


14 


47 


507843 


619 


976232 


72 


531611 


690 


468389 


13 


48 


508214 


619 


976189 


72 


532025 


690 


467975 


12 


49 


508585 


618 


976146 


72 


532439 


689 


467561 


11 


50 
51 


508956 
9.509326 


618 


976103 


72 
72 


532853 


689 


467147 
10.4667.34 


10 
9 


617 


9.976060 


9.533266 


688 


52 


509696 


616 


976017 


72 


533679 


688 


466321 


8 


53 


510065 


616 


975974 


72 


534092 


687 


465908 


7 


54 


510434 


615 


975930 


72 


534504 


6S7 


465496 


6 


55 


510803 


615 


975887 


72 


534916 


686 


465084 


5 


56 


511172 


614 


975844 


72 


535328 


686 


464672 


4 


57 


511540 


613 


975800 


72 


535739 


685 


464261 


3 


58 


511907 


613 


975757 


72 


536150 


685 


463850 


2 


59 


512275 


612 


975714 


72 


536561 


684 


463439 


1 


60 


512642 


012 


975670 


72 


536972 


684 


463028 





1 


Cosine 


.... 


Sine 1 


Uoiaiig. 




Tang. J M. | 



"l Degrees. 





SINES AND TANGENTS. (19 Degree 


sO 


37 


M. 


1 Sine 


D. 


Cosine 1 D. 


Tang. 


I). 


Colang. 1 1 


~o" 


9.512642 


612 


9.975670 


73 


9.536972 


684 


10.463028 


60 


1 


513009 


611 


975627 


73 


537382 


683 


462618 


59 


2 


513375 


611 


975583 


73 


637792 


683 


462208 


58 


3 


613741 


610 


975539 


73 


538202 


682 


461798 


67 


4 


514107 


609 


975496 


73 


538611 


682 


461389 


56 


5 


514472 


609 


975452 


73 


539020 


681 


460980 


56 


6 


514837 


608 


975408 


73 


539429 


681 


460571 


64 


7 


515202 


608 


976305 


73 


539837 


680 


460163 


53 


8 


515566 


607 


975321 


73 


,540245 


680 


459755 


52 


9 


515930 


607 


975277 


73 


540653 


679 


459347 


51 


10 
11 


516294 
9.516657 


606 
605 


975233 


73 
73 


541061 


679 


458939 
10.458532 


50 
49 


9.975189 


9,541468 


678 


12 


517020 


605 


975145 


73 


541875 


678 


458125 


48 


13 


517382 


604 


975101 


73 


542281 


677 


457719 


47 


14 


517745 


604 


975057 


73 


542688 


677 


457312 


46 


15 


518107 


603 


975013 


73 


543094 


676 


456906 


45 


16 


518468 


603 


974969 


74 


543499 


676 


456501 


44 


17 


618829 


602 


974925 


74 


543905 


675 


456096 


43 


18 


619190 


601 


974880 


74 


544310 


675 


455690 


42 


19 


519551 


601 


974836 


74 


644715 


674 


455285 


41 


20 
21 


519911 


600 


974792 
9.974748 


74 

74 


545119 


674 


454881 
10.454476 


40 
39 


9,520271 


600 


9.545524 


673 


22 


520631 


599 


974703 


74 


545928 


673 


454072 


38 


23 


520990 


599 


974659 


74 


546331 


672 


453669 


37 


24 


521349 


698 


974614 


74 


546735 


672 


453265 


36 


25 


521707 


598 


974670 


74 


547138 


671 


452862 


35 


26 


522066 


697 


974525 


74 


547540 


671 


452460 


34 


27 


522424 


596 


974481 


74 


647943 


670 


452057 


33 


28 


522781 


696 


974436 


74 


648345 


670 


451655 


32 


29 


523138 


595 


974391 


74 


548747 


669 


451253 


31 


30 
31 


523495 


595 


974347 


75 
75 


549149 


669 


450851 


30 

29 


9.523852 


594 


9.974302 


9.549550 


668 


10.450450 


32 


524208 


594 


974257 


76 


549951 


668 


450049 


28 


33 


524564 


593 


974212 


75 


550352 


667 


449648 


27 


34 


524920 


593 


974167 


76 


550752 


667 


449248 


26 


35 


625275 


592 


974122 


75 


551152 


666 


448848 


25 


36 


625630 


591 


974077 


75 


651652 


666 


448448 


24 


37 


625984 


591 


974032 


75 


551952 


665 


448048 


23 


38 


626339 


690 


973987 


75 


652351 


665 


447649 


22 


39 


626693 


690 


973942 


75 


552750 


665 


447250 


21 


40 
41 


527046 


689 


973897 


75 
75 


653149 
9.553548 


664 
664 


446851 


20 
19 


9.527400 


689 


9.973852 


10.446452 


42 


527753 


688 


973807 


75 


553946 


663 


446054 


18 


43 


628105 


588 


973761 


75 


554344 


663 


445656 


17 


44 


528458 


587 


973716 


76 


554741 


662 


445259 


16 


45 


528810 


587 


973671 


76 


5551.39 


662 


444861 


16 


46 


529161 


586 


973625 


76 


555530 


661 


444464 


14 


47 


529513 


586 


973580 


76 


555933 


661 


444067 


13 


48 


529864 


585 


973535 


76 


556329 


660 


443671 


12 


49 


.'^302 15 


685 


973489 


76 


556725 


660 


443275 


11 


50 
51 


.-)30565 


584 


973444 
9.973398 


76 
76 


557121 


659 


442879 
10.442483 


10 
9 


9.530915 


584 


9.557517 


659 


52 


531265 


683 


973352 


76 


557913 


659 


442087 


8 


53 


531614 


582 


973307 


76 


558308 


658 


441692 


7 


54 


631963 


682 


97.3261 


76 


568702 


658 


441298 


6 


55 


632312 


581 


973215 


76 


559097 


667 


440903 


6 


56 


532661 


581 


973169 


76 


559491 


667 


440509 


4 


57 


533009 


580 


973124 


76 


559885 


656 


440115 


3 


58 


533357 


580 


973078 


76 


560279 


656 


439721 


2 


59 


633704 


579 


973032 77 


560673 


655 


439327 


1 


60 


534052 


578 


972986 77 


561066 


655 


438934 





z 


V<mne 


1 


Sine 1 


Colaiig. 


1 


Ta..g. 1 M. 1 



70 Degrees. 



38 


(20 Degrees.) a 


TABLE OF LOGARITHMIC 




M. 


Sine 


D. 


[ Cosine | D. 


Tang. 


1 D. 


Cotang. 1 1 





9.534052 


578 


9.972986 


77 


9.561066 


655 


10.438934 


60 


1 


534399 


577 


972940 


77 


561459 


654 


438541 


59 


2 


534745 


577 


972894 


77 


561851 


654 


438149 


58 


3 


535092 


577 


972848 


77 


562244 


653 


437756 


57 


4 


535438 


576 


972802 


77 


562636 


653 


437364 


56 


5 


535783 


576 


972755 


77 


563028 


653 


436972 


55 


6 


536129 


575 


972709 


77 


56.3419 


652 


436581 


54 


7 


536474 


574 


972663 


77 


563811 


652 


436189 


53 


8 


536818 


574 


972617 


77 


564202 


651 


435798 


52 


9 


537163 


573 


972570 


77 


564592 


651 


435408 


51 


10 
11 


537507 


573 


972524 
9.972478 


77 
77 


564983 


650 


435017 
10.434627 


50 
49 


9.537851 


572 


9.565373 


650 


12 


538194 


572 


972431 


78 


565763 


649 


434237 


48 


13 


538538 


571 


972385 


78 


566153 


649 


433847 


47 


14 


538880 


571 


972338 


78 


566542 


649 


433458 


46 


15 


539223 


570 


972291 


78 


566932 


648 


433068 


45 


16 


539565 


570 


972245 


78 


567320 


648 


432680 


44 


17 


539907 


569 


972198 


78 


567709 


647 


432291 


43 


18 


540249 


569 


972151 


78 


'568098 


647 


431902 


42 


19 


540590 


568 


972105 


79 


568486 


646 


431514 


41 


20 
21 


540931 


568 


972058 


78 
78 


568873 


646 


431127 


40 
39 


9.541272 


567 


9.972011 


9.569261 


645 


10.430739 


22 


541613 


567 


971964 


78 


569648 


645 


430352 


38 


23 


541953 


566 


971917 


78 


570035 


645 


429965 


37 


24 


542293 


566 


971870 


78 


570422 


644 


429578 


36 


25 


542632 


565 


971823 


78 


570809 


644 


429191 


35 


26 


542971 


565 


971776 


78 


571195 


643 


428805 


34 


27 


543310 


564 


971729 


79 


571581 


643 


428419 


33 


28 


543649 


564 


971682 


79 


571967 


642 


428033 


32 


29 


543987 


563 


971635 


79 


572352 


642 


427648 


31 


30 


544325 


563 


971588 


79 


572738 


642 


427262 


30 


31 


9.544663 


562 


9.971540 


79 


9.573123 


641 


10.426877 


29 


32 


545000 


562 


971493 


79 


573507 


641 


426493 


28 


33 


545338 


561 


971446 


79 


573892 


640 


426108 


27 


34 


545674 


561 


971398 


79 


574276 


640 


425724 


26 


35 


546011 


560 


971351 


79 


574660 


639 


42.5340 


25 


36 


546347 


560 


971303 


79 


575044 


639 


424956 


24 


37 


546683 


559 


971256 


79 


575427 


639 


424573 


23 


38 


547019 


559 


971208 


79 


575810 


638 


424190 


22 


39 


547354 


558 


971161 


79 


576193 


638 


423807 


21 


40 
41 


547689 


558 


971113 


79 

80 


576576 


637 


423424 
10.423041 


20 
19 


9.548024 


557 


9.971066 


9.576958 


637 


42 


548359 


557 


971018 


80 


577341 


636 


422659 


18 


43 


548693 


556 


970970 


80 


577723 


636 


422277 


17 


44 


549027 


556 


970922 


80 


578104 


636 


421896 


16 


45 


549360 


555 


970874 


80 


578486 


635 


421514 


15 


46 


549693 


555 


970827 


80 


578867 


635 


421133 


14 


47 


550026 


554 


970779 


80 


579248 


634 


420752 


13 


48 


550359 


554 


970731 


80 


579629 


634 


420371 


12 


49 


550692 


553 


970683 


80 


580009 


634 


419991 


11 


50 
51 


551024 
9.551356 


553 


970635 


80 
80 


580389 


633 


419611 
10.419231 


10 
9 


552 


9.970586 


9.580769 


633 


52 


551687 


552 


970538 


80 


581149 


632 


418851 


8 


53 


552018 


552 


970490 


80 


581528 


632 


418472 


7 


54 


552349 


551 


i 970442 


80 


581907 


632 


418093 


6 


55 


552680 


551 


970394 


80 


582286 


631 


417714 


5 


56 


553010 


550 


1 970345 


81 


582665 


631 


417335 


4 


57 


553341 


550 


1 970297 


81 


583043 


630 


416957 


3 


58 


553670 


549 


970249 


81 


583422 


630 


416578 


2 


59 


554000 


549 


970200 


81 


583800 


629 


416200 


1 


60 


554329 


548 


970152 


81 


584177 


629 


41.5823 







Cosine 




1 Sine 1 


Coiang. 




1 Tan,. |M.| 



Degrees. 



SINES AND TANGENT'S. (21 DegrGCS.) 



39 



M.l 


Sine 1 


n. 1 


Co.MiH' 1 D. 1 


Tanc 1 


D. 1 


Cotang. 1 


1 


"(T" 


y. 5543-29 


548 


9.970152] 


:<1 


J. 584177 


629 


10.415823 60 


1 


654658 


548 


970103 


SI 


584555 


629 


415445 59 


2 


654987 


647 


970055 


SI 


584932 


628 


415068 58 


3 


555315 


547 


970006 


SI 


585309 


628 


414691 67 


4 


555643 


646 


969957 


Bl 


585686 


627 


414314 56 


5 


555971 


546 


969909 


81 


586062 


627 


413938 55 


6 


556299 


546 


969860 


81 


586439 


627 


413561 54 


7 


556626 


545 


969811 


81 


586815 


626 


413185 53 


8 


556953 


644 


969762 


81 


587190 


626 


412810 52 


9 


557280 


644 


969714 


81 


587566 


625 


412434 51 


10 
11 


657606 


543 


969665 
9.969616 


81 

82 


587941 
9.588316 


625 
625 


412059 5 
10.411(584 4 


- 


9.557932 


543 


9 


12 


558258 


643 


969567 


82 


688691 


624 


411309 48 


13 


558583 


542 


969518 


82 


589066 


624 


410934 47 


14 


658909 


542 


969469 


82 


589440 


623 


410560 46 


15 


559234 


641 


969420 


82 


689814 


623 


410186 45 


16 


659558 


641 


969370 


82 


590188 


623 


409812 44 


17 


559883 


540 


969321 


82 


590562 


622 


409438 43 


18 


560207 


640 


969272 


82 


690935 


622 


409065 42 


19 


560531 


639 


969223 


82 


591308 


622 


408692 41 


20 
21 


660855 


539 


969173 


82 
82 


691681 
9.592054 


621 
621 


408319 40 


9.561178 


538 


9.969124 


10.407946 39 


22 


561501 


538 


969075 


82 


592426 


620 


407574 a 


8 


23 


561824 


537 


969025 


82 


592798 


620 


407202 S 


7 


24 


562146 


537 


968976 


82 


593170 


619 


406829 2 


6 


25 


662468 


536 


968926 


83 


59354-2 


619 


406458 S 


6 


26 


562790 


636 


968877 


83 


593914 


618 


406086 2 


54 


27 


663112 


536 


968827 


83 


594285 


618 


405715 : 


53 


28 


563433 


535 


968777 


83 


594656 


618 


406344 : 


52 


29 


663755 


535 


968728 


83 


595027 


617 


404973 : 


U 


30 


564075 


534 


968678 


83 


595398 


617 


404602 : 


JO 


31 


9.564396 


534 


9.968628 


83 


9.595768 


617 


10.404232 5 


19 


32 


664716 


533 


968578 


83 


596138 


616 


403862 ; 


28 


33 


665036 


533 


968528 


83 


596508 


616 


403492 ' 


27 


34 


565356 


532 


968479 


83 


596878 


616 


403122 


26 


35 


565676 


532 


968429 


83 


597247 


615 


402753 


25 


36 


665995 


631 


968379 


83 


597616 


615 


402384 


24 


37 


566314 


.531 


968329 


83 


597985 


615 


402015 


23 


38 


566632 


531 


968278 


83 


598354 


614 


401646 


22 


39 


666951 


530 


968228 


84 


598722 


614 


401278 


21 


40 

41 


667269 


530 


968178 
9.968128 


84 
84 


599091 


613 


400909 


20 


9.567587 


529 


9.599459 


613 


10.400541 


19 


42 


667904 


529 


968078 


84 


599827 


613 


400173 


18 


43 


568222 


628 


968027 


84 


600194 


612 


399806 


17 


44 


568539 


528 


967977 


84 


600562 


612 


399438 


16 


45 


568856 


.528 


967927 


84 


60092S 


611 


399071 


15 


46 


569172 


627 


967876 


84 


60l29f 


611 


398704 


14 


47 


569486 


527 


96782r 


84 


601602 


611 


398338 


13 


48 


569804 


[ 526 


96777C 


84 


60202i 


) 610 


397971 


12 


49 


570 12( 


) 626 


96772E 


84 


60239." 


) 610 


397605 


11 


50 


.57043^ 
9.57075 


) 525 
525 


967674 
9.967624 


84 
[ 84 


60276 


I 610 


397239 
10.396873 


10 


51 


9.60312' 


r 609 


9 


52 


67106( 


) 524 


96757: 


J 84 


60349: 


3 609 


396,507 


8 


53 


571381 


) 524 


96752'. 


I 85 


60385J 


^ 609 


396142 


7 


54 


67169. 


'■> 523 


96747 


85 


60422: 


3 608 


395777 


6 


55 


57200< 


i 623 


96742 


I 85 


G0458i 


^ 608 


395412 


5 


56 


67232 


B 523 


96737( 


) 85 


60495 


3 607 


395047 


4 


67 


57203 


r> 522 


9673 H 


) 85 


60531 


7 607 


394683 


3 


58 


57295 


9 522 


96726J 


^ 85 


60568 


2 607 


394318 


2 


59 


57.326 


3 521 


96721' 


7 85 


60604 


5 006 


393954 


1 


•60 


57357 


5 521 


96716 


5 85 


60641 


}• 606 


393590 







1 Cosine 


1 


1 Sine 1 


1 C'oliing. 


1 


1 Taut,'. 


IT 








( 


* De 


grees. 









40 



(22 Degrees.) a table of logaiiithmic 



M. 


1 Sine 


1 D. 


1 Cosine | D. 


1 Taiie. 


1 D. 


1 Colang. 1 1 





9.573575 


521 


9.967166 


85 


9.606410 


606 


10.393590 


60 


1 


573888 


520 


967115 


85 


608773 


606 


393227 


59 


2 


574200 


520 


967064 


85 


607137 


605 


392863 


58 


3 


574512 


519 


967013 


85 


607500 


605 


392500 


57 


4 


574824 


519 


966961 


85 


607863 


604 


392137 


56 


5 


575136 


519 


966910 


85 


608225 


604 


391775 


55 


6 


575447 


518 


966859 


85 


608588 


604 


391412 


54 


7 


575758 


518 


966808 


85 


608^0 


603 


391050 


53 


8 


576069 


517 


966756 


86 


609312 


603 


390688 


62 


9 


576379 


517 


966705 


86 


609674 


603 


390326 


51 


10 

11 


576689 


516 


966663 
9.966602 


86 
86 


610036 


602 


389964 
10.389603 


60 
49 


9.576999 


516 


9.610397 


602 


12 


577309 


516 


966550 


86 


610759 


602 


389241 


48 


13 


577618 


515 


966499 


86 


611120 


601 


388880 


47 


14 


577927 


515 


966447 


86 


611480 


601 


.388520 


46 


15 


578236 


514 


966395 


8G 


611841 


001 


388159 


45 


16 


578545 


514 


966344 


86 


612201 


600 


.387799 


44 


17 


578853 


513 


966292 


86 


612561 


600 


387439 


43 


18 


579.162 


513 


966240 


86 


612921 


600 


387079 


42 


19 


579470 


513 


966188 


86- 


&13281 


599 


386719 


41 


20 

21 


579777 


512 


966136 


86 
87 


613641 


599 


386359 
10.386000 


40 
39 


9.580085 


512 


9 966085 


9.614000 


598 


22 


580392 


511 


966033 


87 


614369 


598 


385641 


38 


23 


580699 


511 


965981 


87 


614718 


598 


386282 


37 


24 


581005 


511 


965928 


87 


615077 


597 


384923 


36 


25 


581312 


510 


966876 


87 


616436 


597 


384565 


35 


26 


581618 


510 


966824 


87 


616793 


.597 


384207 


34 


27 


581924 


509 


966772 


87 


616151 


.596 


383849 


33 


28 


582229 


509 


966720 


87 


616509 


596 


383491 


32 


29 


582535 


509 


965668 


87 


616867 


596 


383133 


31 


30 
31 


5.82840 


508 


966616 


87 
87 


617224 


596 


382776 
10.382418 


30 

29 


9.583145 


508 


9.966563 


9- 617582 


595 


32 


583449 


507 


966511 


87 


617939 


595 


382061 


28 


33 


583754 


507 


965468 


87 


618295 


594 


381705 


27 


34 


584058 


506 


965406 


87 


618652 


594 


381348 


26 


35 


584361 


506 


965353 


88 


619008 


594 


380992 


25 


36 


584665 


^06 


965301 


88 


619364 


593 


380636 


24 


37 


584968 


505 


965248 


88 


619721 


593 


380279 


23 


38 


585272 


505 


966195 


88 


620076 


593 


379924 


22 


39 


585574 


504 


965143 


88 


620432 


592 


379568 


21 


40 
41 


585877 
9.586179 


504 


965090 
9.965037 


88 
88 


620787 


592 


379213 
10.378858 


20 
19 


603 


9.621142 


592 


42 


586482 


503 


964984 


88 


621497 


591 


378503 


18 


43 


586783 


503 


964931 


88 


621852 


591 


378148 


17 


44 


587085 


502 


964879 


88 


622207 


590 


377793 


16 


45 


587386 


502 


964826 


88 


622561 


590 


377439 


15 


46 


587688 


501 


964773 


88 


622915 


590 


377085 


14 


47 


587989 


501 


964719 


88 


623269 


589 


376731 


13 


48 


588289 


501 


964666 


89 


623623 


.589 


376377 


12 


49 


588590 


500 


964613 


89 


623976 


589 


376024 


11 


50 


588890 


500 


964560 


89 


624330 


588 


375670 


10 


51 


9.589190 


499 


9.964607 89. 1 


9.624683 


588 


10.375317 


9 


52 


589489 


499 


964454 


89 


625036 


588 


374964 


8 


53 


589789 


499 


964400 


89 


626388 


587 


374612 


7 


54 


590088 


498 


964347 


89- 


626741 


587 


374259 


6 


55 


590387 


498 


964294 


89 


626093 


587 


373907 


5 


56 


590686 


497 


964240 


89 


626446 


586 


373555 


4 


57 


590984 


497 


964187 


89 


626797 


586 


373203 


3 


58 


591282 


497 


964133 


89 


627149 


586 


872851 


2 


59 


591580 


496 


964080 


89 


627501 


585 


372499 


1 


60 


591878 


496 


964026 89' 


627862 


585 


372148 





\ 


Cosine 1 




Sine 1 1 


Cotang. 1 




1 Tang. 1 M. | 



67 Degrees. 





SINES AND TANGENTS. (23 Degrecs.) 


41 


M. 


1 Sine 


I I). 


Cosine | D. 


Tansr. 


1). ( Cotang. 1 1 


"IT 


9.591878 


496 


9 . 964026 


89 


9.627852 


585 


10.372148 


60 


1 


592176 


495 


963972 


89 


628203 


585 


371797 


69 


2 


592473 


495 


96.3919 


89 


628554 


585 


371446 


58 


3 


592770 


495 


963865 


90 


628905 


584 


871096 


57 


4 


593067 


494 


963811 


90 


629255 


584 


370746 


56 


5 


593363 


494 


963757 


90 


629606 


583 


370394 


55 


6 


593659 


493 


963701 


90 


629956 


583 


370044 


54 


7 


593955 


493 


963650 


90 


630306 


583 


369694 


63 


8 


594251 


493 


963596 


90 


630656 


583 


369344 


52 


9 


594547 


492 


963542 


90 


631005 


582 


368995 


51 


10 
11 


594842 


492 


963488 


90 
90 


631355 


582 


368645 


50 
49 


9.595137 


491 


9.963434 


9.631704 


582 


10.368296 


12 


595432 


491 


963379 


90 


632053 


581 


367947 


48 


13 


595727 


491 


963325 


90 


632401 


581 


367699 


47 


14 


596021 


490 


963271 


90 


632750 


581 


367250 


46 


lo 


596315 


490 


963217 


90 


633098 


580 


366902 


45 


16 


596609 


489 


963163 


90 


633447 


580 


366653 


44 


17 


596903 


489 


963108 


91 


633795 


580 


366205 


43 


18 


597196 


489 


9630.54 


91 


634143 


579 


365857 


42 


19 


597490 


488 


962999 


91 


634490 


579 


366610 


41 


20 
21 


597783 


488 


962945 
9.962890 


91 
91 


634838 


579 


365162 
10.364815 


40 
39 


9.598075 


487 


9.635185 


578 


22 


598368 


487 


962836 


91 


635532 


578 


364468 


38 


23 


598660 


487 


9G2781 


91 


63iS879 


578 


364121 


37 


24 


598952 


486 


962727 


91 


636226 


577 


363774 


36 


25 


599244 


486 


962672 


91 


636.572 


577 


303428 


35 


26 


599536 


485 


962617 


91 


636919 


577 


363081 


34 


27 


599827 


485 


962562 


91 


637265 


577 


362735 


33 


28 


600118 


485 


962508 


91 


637611 


576 


362389 


32 


29 


600409 


484 


962453 


91 


637956 


576 


362044 


31 


30 
31 


600700 
9.600990 


484 


962398 


92 
92 


638302 
9.638647 


576 
575 


361698 
10.361353 


30 

29 


484 


9.962,343 


32 


601280 


483 


962288 


92 


638992 


575 


361008 


28 


33 


601570 


483 


962233 


92 


639.337 


575 


360663 


27 


34 


601860 


482 


962178 


92 


639682 


574 


360318 


26 


35 


602150 


482 


962123 


92 


640027 


674 


369973 


26 


36 


602439 


482 


962067 


92 


640371 


574 


359629 


24 


37 


602728 


481 


962012 


92 


640716 


573 


369284 


23 


38 


603017 


481 


961957 


92 


641060 


573 


358940 


22 


39 


603305 


481 


961902 


92 


641404 


673 


358696 


21 


40 
41 


603594 


480 


961846 


92 
92 


641747 


572 


358253 
10.357909 


20 
19 


9.603882 


480 


9.961791 


9.642091 


672 


42 


604170 


479 


961735 


92 


642434 


672 


357566 


18 


43 


604457 


479 


961680 


92 


642777 


572 


357223 


17 


44 


604745 


479 


961624 


93 


043120 


.571 


356880 


16 


45 


605032 


478 


961569 


93 


64.3463 


.571 


356537 


16 


46 


605319 


478 


961513 


93 


643806 


671 


3.56194 


14 


47 


605606 


478 


9614.58 


93 


644148 


570 


35.5852 


13 


48 


605892 


477 


961402 


93 


644490 


670 


355610 


12 


49 


606179 


477 


961346 


93 


644832 


670 


355168 


11 


50 

51 


606465 


476 


961290 
9.961235 


93 
93 


645174 


669 


3.54826 
10.354484 


10 
9 


9.606751 


476 


9.64.5516 


669 


52 


607036 


476 


961179 


93 


645857 


569 


3.54143 


8 


53 


607322 


475 


961123 


93 


646199 


.569 


353801 


7 


54 


607607 


475 


961067 


93 


646540 


568 


363460 


6 


55 


607892 


474 


961011 


93 


646881 


568 


3.53119 


6 


56 


608177 


474 


960955 


93 


647222 


568 


352778 


4 


67 


608461 


474 


960899 


93 


647562 


567 


352438 


3 


5S 


608745 


473 


960843 


94 


647903 


567 


3.52097 


2 


59 


609029 


473 


960786 


94 


648243 


.567 


3517.57 


1 


60 


609313 


473 


960730 


94 


648.583 


566 


351417 





^ 


Cosine 




Sine j 


Colan?. 


1 ^^•'-'- P'-l 



GO Degrees. 

F 



42 


(24 Degr 


ees.) A 


TABLE OF LOGARITHMIC 






Sine 


D. 


Cosine | D. 


Tans. 1 


D. 


Cotana. [ 1 





9.609313 


473 


9.96073U 


94 


9.648583 


566 


10.351417 


60 


1 


609597 


472 


960674 


94 


648923 


566 


351077 


59 


2 


609880 


472 


960618 


94 


649263 


566 


350737 


58 


3 


610164 


472 


960561 


94 


649602 


566 


350398 


57 


4 


610447 


471 


960505 


94 


649942 


565 


350058 


56 


5 


610729 


471 


960448 


94 


6502811 


565 


349719 


55 


6 


611012 


470 


960392 


94 


650G20, 


565 


349380 


54 


7 


611294 


470 


960335 


94 


650959, 


564 


349041 


53 


8 


611576 


470 


960279 


94 


6512971 


564 


348703 


52 


9 


611858 


469 


960222 


94 


6516361 


564 


343364 


51 


10 
11 


612140 


469 


960165 


94 
95 


651974 
9.652312 


563 
563 


348026 
10.347688 


50 

49 


9.612421 


469 


9.960109 


12 


612702 


468 


960052 


95 


652650 


563 


347350 


48 


13 


612983 


468 


959995 


95 


6529881 


563 


347012 


47 


14 


613264 


467 


959938 


95 


653326! 


562 


346674 


46 


15 


613545 


467 


959882 


95 


653663! 


562 


346337 


45 


16 


613825 


467 


959825 


95 


6540001 


562 


346000 


44 


17 


614105 


466 


959768 


95 


654337, 


561 


345663 


43 


18 


614385 


466 


959711 


95 


654674 


561 


345326 


42 


19 


614665 


466 


959654 


95 


655011: 


561 


3449S9 


41 


20 

21 


614944 


465 


959596 
9.959539 


95 
95 


655348 


561 


344652 
10.344316 


40 
39 


9.615223 


465 


9.655634 


560 


22 


615502 


465 


959482 


95 


656020 


560 


343980 


38 


23 


615781 


464 


959425 


95 


656356 


560 


343644 


37 


24 


616060 


464 


959368 


95 


656692 


559 


34330 S 


36 


25 


616338 


464 


959310 


96 


657028 


559 


342972 


35 


26 


616616 


463 


959253 


96 


657364 


559 


342636 


34 


27 


616894 


463 


959195 


96 


657699 


559 


342301 


33 


28 


617172 


462 


959138 


96 


658034 


558 


341966 


32 


29 


617450 


462 


959081 


96 


65S369 


558 


341631 


31 


30 

31 


617727 


462 


959023 
9.95S965 


96 
96 


653704 


558 


341296 
10.340961 


30 
29 


9.618004 


461 


9 . 659039 


558 


32 


618281 


461 


95S908 


96 


659373 


.557 


340627 


28 


33 


618558 


461 


958850 


96 


659708 


557 


340292 


27 


34 


618834 


460 


958792 


96 


660042 


557 


339958 


26 


35 


619110 


460 


958734 


96 


660376 


557 


339624 


25 


36 


619386 


460 


958677 


96 


660710 


556 


339290 


24 


37 


619662 


459 


95S619 


96 


661043 


556 


338957 


23 


38 


619938 


459 


958561 


96 


661377 


556 


338623 


22 


39 


620213 


459 


95S503 


97 


661710 


555 


338290 


21 


40 
41 


620488 


458 


958445 
9.958387 


97 

97 


662043 
9.662376 


555 
555 


337957 
10.337624 


20 
19 


9.620763 


458 


42 


621038 


457 


958329 


97 


662709 


554 


337291 


18 


43 


621313 


457 


958271 


97 


663042 


554 


336953 


17 


44 


621587 


457 


953213 


97 


663375 


554 


336625 


16 


45 


621861 


456 


958154 


97 


663707 


554 


336293 


15 


46 


622135 


456 


958096 


97 


664039 


553 


335961 


14 


47 


622409 


456 


953038 


' 97 


664371 


553 


3.35629 


13 


48 


622682 


455 


957979 


97 


664703 


553 


335297 


12 


49 


622956 


455 


957921 


97 


665035 


553 


334965 


11 


50 
51 


623229 


455 


957863 
9.957804 


97 
97 


665366 


552 


334634 
10.334303 


10 
9 


9.623502 


454 


9.665697 


552 


52 


623774 


454 


957746 


93 


666029 


552 


333971 


8 


53 


624047 


454 


957687 


. 98 


666360 


551 


333640 


7 


54 


624319 


; 453 


957628 


98 


666691 


551 


333309 


6 


55 


624591 


! 453 


; 957570 


98 


i 667021 


551 


332979 


5 


56 


624863 


: 453 


957511 


.98 


667352 


551 


332648 


4 


57 


625135 


452 


957452 


98 


667682 


550 


3.323 IS 


3 


58 


625406 


452 


957393 


98 


668013 


550 


331987 


o 


59 


625677 


: 452 


957335 


98 


6^3343 


550 


331657 


1 


60 


62594S 


451 


957276 


l98 


668672 


550 


33182S 







j C'osii)€ 




\ tihe 1 


; L'niang. 




i Tail-. 1 M. 1 



Ua Degrees. 





SINES AND TANGENTS 


. (23 Degrees 


) 


43 


J±l 


Sine 


1). 


Cosine | D. 


Tang. 


D. 


Cotang. j 1 





9.625948 


451 


9.957276 


981 


9.668673 


5.50 


10.331327| 


60 


1 


626219 


451 


957217 


98! 


669002 


549 


330998 


59 


2 


626490 


451 


957158 


98 


669332 


549 


330668 


58 


3 


626760 


450 


957099 


98 


669661 


549 


330339 


57 


4 


627030 


450 


957040 


98 


669991 


548 


330009 


56 


5 


627300 


450 


956981 


98 


670320 


548 


329680 


55 


6 


627570 


449 


956921 


99 


670649 


548 


329351 


54 


7 


627840 


449 


956862 


99 


670977 


548 


329023 


53 


8 


028109 


449 


956803 


99 


671306 


547 


328694 


52 


9 


628378 


448 


956744 


99 


671634 


547 


328366 


51 


10 
11 


628647 


448 


956684 


99 
99 


671963 


547 


328037 
10.327709 


50 
49 


9.628916 


447 


9.956625 


9.672291 


547 


12 


629185 


447 


956566 


99 


672619 


546 


327381 


48 


13 


629453 


447 


956506 


99 


672947 


546 


327053 


47 


14 


629721 


446 


956447 


99 


673274 


546 


326726 


46 


15 


629989 


446 


956387 


99 


673602 


546 


326398 


45 


16 


630257 


446 


9.56327 


99 


673929 


545 


326071 


44 


17 


630524 


446 


956268 


99 


674257 


545 


325743 


43 


18 


630792 


445 


956208 


100 


674584 


545 


325416 


42 


19 


631059 


445 


956148 


100 


674910 


544 


325090 


41 


20 
21 


631326 


445 


956089 


100 
100 


675237 


544 


324763 


40 
39 


9.631593 


444 


9.956029 


9.675564 


544 


10.324436 


22 


631859 


444 


955969 


100 


675890 


544 


324110 


38 


23 


632125 


444 


955909 


100 


676216 


543 


323784 


37 


24 


632392 


443 


955849 


100 


676543 


543 


323457 


36 


25 


632658 


443 


955789 


100 


676869 


543 


323131 


25 


26 


632923 


443 


955729 


100 


677194 


543 


322806 


34 


27 


633189 


442 


955669 


100 


677520 


642 


322480 


33 


28 


633454 


442 


955609 


100 


677846 


542 


322154 


32 


29 


633719 


442 


955548 


100 


678171 


542 


321829 


31 


30 
31 


633984 
9.634249 


441 
441 


955488 
9.955428 


100 
101 


678496 


542 


321504 
10.321179 


3a 

29 


9.678821 


541 


32 


634514 


440 


955368 


101 


679146 


541 


320854 


28 


33 


6.34778 


440 


955307 


101 


679471 


541 


320529 


27 


34 


635042 


440 


955247 


101 


679795 


541 


320205 


26 


35 


635306 


439 


955186 


101 


680120 


540 


319880 


25 


36 


635570 


439 


955126 


101 


680444 


540 


319556 


24 


37 


635834 


439 


95.5065 


101 


680768 


540 


319232 


23 


38 


636097 


438 


955005 


101 


681092 


540 


318908 


22 


39 


636360 


438 


954944 


101 


681416 


539 


318584 


21 


40 


636623 


438 


9.54883 


101 


681740 


5C^ 


318260 


20 


41 


9.636886 


437 


9 954823 


101 


9.682063 


539 


10.317937 


19 


42 


637148 


437 


954762 


101 


682387 


539 


317613 


18 


43 


. 637411 


437 


9.54701 


101 


682710 


538 


317290 


17 


44 


637673 


437 


954640 


101 


683033 


538 


316967 


16 


45 


637935 


436 


954579 


101 


683356 


538 


316644 


15 


46 


638197 


436 


954518 


102 


683679 


538 


316321 


14 


47 


638458 


436 


954457 


102 


684001 


.537 


315999 


13 


48 


638720 


435 


954396 


102 


684324 


,537 


31.5676 


12 


49 


638981 


435 


954335 


102 


684646 


537 


315.354 


11 


50 
51 


639242 


435 


954274 
9.954213 


102 
102 


684968 
9.685290 


537 
536 


31.5032 


10 
9 


9.639503 


434 


10.314710 


52 


639764 


434 


9541.52 


102 


68.5612 


536 


314388 


8 


53 


640024 


434 


954090 


102 


685934 


536 


314066 


7 


54 


640284 


433 


954029 


102 


686255 


536 


313745 


6 


55 


640544 


433 


953968 


102 


686577 


535 


313423 


5 


56 


640804 


433 


953906 


102 


686898 


535 


313102 


4 


57 


641064 


432 


953845 


102 


687219 


535 


312781 


3 


58 


641324 


432 


953783 


102 


687.540 


535 


312460 


2 


59 


641584 


432 


953722 


103 


687861 


534 


31213« 


1 


60 


641842 


431 


9.53660 


103 


688182 


5.34 


311818 






I I Cotang. I 

W Degrees. 



Tang. 



44 


(26 Degrees.) a 


TABLE OF LOGARITHMIC 




IT 


1 Sine 


D. 


1 . Cosine | D. 




D. 


1 Cotang. 1 1 





9.641842 


431 


9.953660 


103 


9.688182 


534 


10.311818 


60 


1 


642101 


431 


953599 


103 


688502 


534 


311498 


59 


2 


642360 


431 


953537 


103 


688823 


534 


311177 


58 


3 


642618 


• 430 


953475 


103 


689143 


533 


310857 


57 


4 


642877 


t 430 


953413 


103 


689463 


533 


310537 


56 


5 


643135 


430 


953352 


103 


689783 


533 


310217 


55 


6 


643393 


430 


953290 


103 


690103 


533 


309897 


54 


7 


643650 


429 


953228 


103 


690423 


533 


309577 


53 


8 


643908 


429 


953166 


103 


690742 


532 


309258 


52 


9 


644165 


429 


953104 


103 


691062 


532 


308938 


51 


10 
11 


644423 


428 


953042 


103 
104 


691381 


532 


308619 
10.308300 


50 
49 


9.644680 


428 


9.952980 


9.691700 


531 


12 


644936 


428 


952918 


104 


692019 


531 


307981 


48 


13 


645193 


427 


952855 


104 


692338 


531 


307662 


47 


14 


645450 


427 


952793 


104 


692856 


.531 


307344 


46 


15 


645706 


427 


952731 


104 


692975 


531 


307025 


45 


16 


645962 


426 


952669 


104 


693293 


530 


306707 


44 


17 


646218 


426 


952606 


104 


693612 


530 


306388 


43 


18 


646474 


426 


952544 


104 


693930 


530 


306070 


42 


19 


646729 


425 


952481 


104 


694248 


530 


305752 


41 


20 
21 


646984 


425 


952419 


104 
104 


694566 


529 


305434 
10.305117 


40 
39 


9.647240 


425 


9.952356 


9.694883 


529 


22 


647494 


424 


952294 


104 


695201 


529 


304799 


38 


23 


647749 


424 


952231 


104 


695518 


529 


304482 


37 


24 


648004 


424 


952168 


105 


695836 


529 


304164 


36 


35 


648258 


424 


952106 


105 


696153 


528 


303847 


35 


26 


648512 


423 


952043 


105 


696470 


528 


303530 


34 


27 


648766 


423 


951980 


105 


696787 


528 


303213 


33 


28 


649020 


423 


951917 


105 


697103 


528 


302897 


32 


29 


649274 


422 


951854 


105 


697420 


527 


302580 


31 


30 
31 


649527 


422 


951791 


105 
105 


697736 


527 


302264 


30 
29 


9.649781 


422 


9.951728 


O98053 


527 


10.301947 


32 


650034 


422 


951665 


105 


698369 


527 


301631 


28 


33 


650287 


421 


951602 


105 


698685 


.526 


301315 


27 


34 


650539 


421 


951539 


105 


699001 


526 


300999 


26 


35 


650792 


421 


951476 


105 


699316 


526 


300684 


25 


36 


651044 


420 


951412 


105 


699632 


526 


300368 


24 


37 


651297 


420 


951349 


106 


699947 


526 


300053 


23 


38 


651549 


420 


951286 


106 


700263 


525 


299737 


22 


39 


651800 


419 


951222 


106 


700578 


525 


299422 


21 


40 
41 


652052 


419 


951159 


106 
106 


700893 


525 


299107 
10.298792 


20 
19 


9.652304 


419 


9.951096 


9.701208 


524 


42 


652555 


418 


951032 


106 


701523 


524 


298477 


18 


43 


652806 


418 


950968 


106 


701837 


524 


298163 


17 


44 


653057 


418 


950905 


106 


702152 


524 


297848 


16 


45 


653308 


418 


950841 


106 


702466 


524 


297534 


15 


46 


653558 


417 


950778 


106 


702780 


523 


297220 


14 


47 


653808 


417 


950714 


106 


703095 


523 


296905 


13 


48 


654059 


417 


950650 


106 


703409 


523 


296591 


12 


49 


654309 


416 


950586 


106 


703723 


523 


296277 


11 


50 
51 


654558 


416 


950522 


107 
107 


704036 


522 


295964 
10.295650 


10 
9 


9.654808 


416 


9.950458 


9.704350 


522 


52 


655058 


416 


950394 


107 


704663 


522 


295337 


8 


53 


655307 


415 


950330 


107 


704977 


522 


295023 


7 


54 


655556 


415 


950266 


107 


705290 


522 


294710 


6 


55 


655805 


415 


950202 


107 


705603 


521 


294397 


5 


56 


656054 


414 


950138 


107 


705916 


521 


294084 


4 


57 


656302 


414 


950074 


107 


706228 


521 


293772 


3 


58 


656551 


414 


950010 


107 


706541 


.521 


2934*^9 


2 


59 


656799 


413 


940945 


107 


706854 


521 


293146 


1 


60 


657047 


413 


949881 


107 


707166 


520 


292334 





^ 


Cotine 




Sine 1 1 


CotanL'. 




Tanc. 1 M. | 





SINES AND TANGENTS. (27 Dcgieea.) 


45 


M. 


1 ^^i"e 


D. 


Cosine 1 1). 


'I'anp. 


D. 


! Cotang. [ 1 


"o" 


9.657047 


413 


9.949881 


107 


9.707166 


520 


10.292834 


60 


1 


657295 


413 


949816 


107 


707478 


520 


292522 


59 


2 


657542 


412 


949752 


107 


707790 


520 


292210 


58 


3 


657790 


412 


949688 


108 


708102 


520 


291898 


57 


4 


658037 


412 


949623 


108 


708414 


519 


291.586 


56. 


5 


658284 


412 


949558 


108 


708726 


519 


291274 


55 


6 


658531 


411 


949494 


108 


709037 


519 


2909G3 


54 


7 


658778 


411 


949429 


108 


709349 


519 


290651 


53 


8 


659025 


411 


949364 


108 


709660 


519 


290340 


52 


9 


659271 


410 


949300 


108 


709971 


518 


290029 


51 


10 
11 


659517 


410 


949235 


108 
108 


710282 


518 


289718 
1.0.289407 


50 
49 


9.659763 


410 


9.949170 


9.710593 


518 


12 


660009 


409 


949105 


108 


710904 


518 


289096 


48 


13 


660255 


409 


949040 


108 


711215 


518 


288785 


47 


14 


660501 


409 


948975 


108 


711525 


517 


288475 


40 


15 


660746 


409 


94S910 


108 


711836 


5-17 


288164 


45 


16 


660991 


408 


948845 


108 


712146 


617 


287854 


44 


17 


661236 


408 


948780 


109 


712456 


5.17 


287544 


43 


IS 


661481 


408 


948715 


109 


712766 


5.16 


287234 


42 


19 


66.1726 


407 


948650 


109 


713076 


516 


286924 


41 


20 
21 


661970 
9.662214 


407 


948584 


109 
109 


713386 


516 


286614 
10.286304 


40 
39 


407 


9.948519 


9.713696. 


516 


22 


662459 


407 


948454 


109 


714005 


516 


285995 


38 


23 


662703 


406 


948388 


109 


7143.14 


5.15 


285686 


37 


24 


662946 


406 


948323 


109 


714624 


515 


285376 


36 


25 


663190 


406 


948257 


109 


714933 


515 


285067 


35 


26 


663433 


405 


948192 


109 


715242 


515 


284758 


34 


27 


663677 


405 


948126 


109 


715551 


514 


284449 


33 


28 


663920 


405 


948060 


109 


715860 


514 


284140 


32 


29 


664163 


405 


947995 


110 


716168 


514 


283832 


31 


30 
31 


664406 


404 


947929 


110, 
110 


716477 


514 


283523 


30 
29 


9.664648 


404 


9.947863 


9.716785 


514 


10.28.3215 


32 


664891 


404 


947797 


110 


717093 


513 


282907 


28 


33 


665133 


403 


947731 


110 


717401 


513 


282599 


27 


34 


665375 


403 


947665 


110 


717709 


513 


282291 


26 


35 


665617 


403 


947600 


110 


718017 


513 


281983 


25 


36 


605859 


402 


947533 


iia 


718325 


513 


281675 


24 


37 


666100 


402 


947467 


no 


718633 


512 


281367 


23 


38 


666342 


402 


947401 


iia 


718940 


512 


281060 


22 


39 


666583 


402 


947335 


no 


719248 


512 


28ft752 


21 


40 

41 


666824 


401 


947269 


no 
no 


7195.55 
9.719862 


512 


280445 


20 
19 


9.667065 


401 


9.947203 


512 


10.280138 


42 


667305 


401 


947136 


ill 


720169 


511 


279^31 


18 


43 


667546 


401 


947070 


ill 


720476 


511 


279524 


17 


44 


667786 


400 


947004 


111 


720783 


511 


279217 


16 


45 


668027 


400 


946937 


111 


721089 


611 


278911 


15 


46 


668267 


400 


946871 


111 


721396 


511 


278604 


14 


47 


668506 


399 


946804 


111 


721702 


510 


278298 


13 


48 


668746 


399 


946738 


111 


722009 


510 


277991 


12 


49 


668986 


399 


946671 


111 


722315 


510 


277685 


11 


50 
51 


669225 


399 


946604 


111 
111 


722621 
9.72292T 


510 


277379 


10 
9 


9.669464 


398 


9.946538 


610 


10.277073 


52 


669703 


398 


946471 


111 


723232 


509 


276768 


8 


53 


669942 


398 


946404 


111 


723538 


509 


276462 


7 


54 


670181 


397 


946337 


111 


723844 


,509 


276156 


6 


55 


670419 


397 


946270 


112 


724149 


509 


27.5851 


5 


56 


670658 


397 


946203 


112 


724454 


509 


275546 


4 


57 


670896 


397 


946136 


112 


724759 


508 


275241 


3 


o,S 


671134 


396 


946069 


112 


72.5065 


508 


274935 


2 


')!) 


671372 


396 


946002 


112 


725369 


508 


274631 


1 


(;() 


671609 


396 


945935 


112 


725674 


508 


274326 





^ 


Cfwiiie 




Sme 1 


Cotang. 




1 Tang. 1 M. l 



Degrees. 



46 



(28 Degrees.) a table of logarithmic 



M. 


1 Sine 


1 D. 


1 Cosine | D. 


1 T.iri-. 


1 n. 


Cotaua. 1 


"o" 


9.671609 


396 


9.945935 


112 


9.725674 


508 


10.274326 


"60 


1 


671847 


395 


945868 


112 


725979 


508 


274021 


59 


2 


672084 


395 


945800 


112 


726284 


507 


273716 


58 


3 


672321 


395 


945733 


112 


726588 


507 


273412 


57 


4 


672558 


395 


945666 


112 


72G892 


507 


273108 


56 


6 


672795 


394 


945598 


112 


727] 97 


507 


272803 


55 


6 


673032 


394 


945.531 


112 


727501 


507 


272499 


54 


7 


673268 


394 


945464 


113 


727805 


506 


272195 


53 


8 


673505 


394 


945396 


113 


728109 


506 


271891 


52 


9 


673741 


393 


945328 


113 


728412 


506 


271588 


51 


10 


673977 


393 


945261 


113 


728716 


506 


271284 


50 


11 


9.674213 


393 


9.945193 


113 


9.729020 


506 


10.270980 


49 


12 


674448 


392 


945125 


113 


729323 


505 


270677 


48 


13 


674684 


392 


945058 


113 


729626 


505 


270374 


47 


14 


674919 


392 


944990 


113 


729929 


505 


270071 


46 


15 


675155 


392 


944922 


113 


730233 


505 


269767 


45 


16 


675390 


391 


944854 


113 


730535 


505 


269465 


44 


17 


675624 


391 


944786 


113 


730838 


504 


269162 


43 


18 


675859 


391 


944718 


113 


731141 


504 


268859 


42 


19 


676094 


391 


944650 


113 


731444 


504 


268556 


41 


20 
21 


676328 
9.676562 


390 


944582 
9.944514 


114 
114 


731746 


504 


268254 


40 
39 


390 


9.732048 


504 


10.267952 


22 


676796 


390 


944446 


114 


732351 


503 


267649 


38 


23 


677030 


390 


944377 


114 


732653 


503 


267347 


37 


24 


677264 


389 


944309 


114 


732955 


503 


267045 


36 


25 


677498 


389 


944241 


114 


733257 


603 


266743 


35 


26 


677731 


389 


944172 


114 


733558 


503 


266442 


34 


27 


677964 


388 


944104 


114 


733860 


502 


266140 


33 


28 


678197 


388 


944036 


114 


734162 


502 


265838 


32 


29 


678430 


388 


943967 


114 


734463 


502 


265537 


31 


30 
31 


678683 


388 


943899 


114 
114 


734764 
9.735066 


502 


265236 
10.264934 


30 
29 


9 678895 


387 


9.943830 


502 


32 


679128 


387 


943761 


114 


735367 


502 


264633 


28 


33 


679360 


387 


943693 


115 


735668 


501 


264332 


27 


34 


679592 


387 


943624 


115 


735969 


501 


264031 


26 


35 


679824 


386 


943555 


115 


736269 


.501 


263731 


25 


36 


680056 


386 


943486 


115 


736570 


.501 


263430 


24 


37 


680288 


386 


943417 


115 


736871 


501 


263129 


23 


38 


680519 


385 


943348 


115 


737171 


500 


262829 


22 


39 


680750 


385 


943279 


115 


737471 


500 


262529 


21 


40 
41 


680982 
9.681213 


385 


943210 


115 
115 


737771 
9.738071 


500 
500 


262229 


20 
19 


385 


9.943141 


10.261929 


42 


681443 


384 


943072 


115 


738371 


500 


261629 


18 


43 


681674 


384 


943003 


115 


738671 


499 


261329 


17 


44 


681905 


384 


942934 


115 


738971 


499 


261029 


16 


45 


682135 


384 


942864 


115 


739271 


499 


260729 


15 


46 


682365 


383 


942795 


116 


739570 


499 


260430 


14 


47 


682595 


383 


942726 


116 


739870 


499 


260130 


13 


48 


682825 


383 


942656 


116 


740169 


499 


259831 


12 


49 


683055 


.383 


942587 


116 


740468 


498 


259532 


11 


50 


683284 


382 


942517 


116 


740767 


498 


259233 


10 


51 


9.683514 


382 


9.942448 


116 


9.741066 


498 


10.258934 


9 


c2 


683743 


382 


942378 


116 


741365 


498 


258635 


8 


53 


683972 


382 


942308 


116 


741664 


498 


258336 


7 


54 


684201 


381 


942239 


116 


741962 


497 


258038 


6 


55 


684430 


381 


942169 


116 


742261 


497 


257739 


5 


56 


684658 


381 


942099 


116 


742559 


497 


257441 


4 


57 


684887 


380 


942029 


116 


742858 


497 


257142 


3 


58 


685115 


380 


941959 


116 


743156 


497 


256844 


2 


59 


685343 


380 


941889 


117 


743454 


497 


256546 


1 


60 


685571 


380 


941819 


117 


743752 


496 


256248 





_J 


Cosine 1 




Sino 1 1 


Coiang. 


1 


Tang. 1 M. | 








Gl 


Dcgre 


e& 











SINES AND TANGENTS 


^29 Degrees 





47 


JL 


Sine 


D. 


Cosine | D. | 


Tanp. 


D. 


Cotang. 1 1 





9.685571 


380 


9.941819 


117 


9.743752 


496 


10.2.56248 


60 


1 


685799 


379 


941749 


117 


744050 


496 


255950 


59 


2 


686027 


379 


941679 


117 


744348 


496 


255652 


58 


3 


686254 


379 


941609 


117 


744645 


496 


255355 


57 


4 


6864S2 


379 


941539 


117 


744943 


496 


255057 


56 


5 


686709 


378 


941469 


117 


745240 


496 


254760 


55 


6 


686936 


378 


941398 


117 


745538 


495 


254462 


54 


7 


687163 


378 


941328 


117 


745835 


495 


254165 


53 


8 


687389 


878 


941258 


117 


746132 


495 


253868 


52 


9 


687616 


377 


941187 


117 


746429 


495 


253571 


51 


10 
11 


687843 
9.688069 


377 


941117 
9.941046 


117 
118 


746726 


495 


253274 


50 
49 


377 


9.747023 


494 


10.252977 


12 


6882S5 


377 


940975 


118 


747319 


494 


252681 


48 


13 


688521 


376 


940905 


118 


747616 


494 


252384 


47 


14 


688747 


376 


940834 


118 


747913 


494 


252087 


46 


15 


688972 


376 


940763 


118 


748209 


494 


251791 


45 


16 


689198 


376 


940693 


118 


748505 


493 


251495 


44 


17 


689423 


375 


940622 


118 


748801 


493 


251199 


43 


18 


689648 


375 


940551 


118 


749097 


493 


250903 


42 


19 


689873 


375 


940480 


118 


749393 


493 


250607 


41 


20 
21 


690098 
9.690323 


375 
374 


940409 


118 
118 


749689 


493 


250311 
10.250015 


40 
39 


9.940338 


9.749985 


493 


22 


690.548 


374 


940267 


118 


750281 


492 


249719 


38 


23 


690772 


374 


940196 


118 


750576 


492 


249424 


37 


24 


690996 


374 


940125 


119 


750872 


492 


249128 


36 


25 


691220 


373 


940054 


119 


751167 


492 


248833 


35 


26 


691444 


373 


939982 


119 


751462 


492 


248538 


34 


27 


691668 


373 


939911 


119 


751757 


492 


248243 


33 


28 


691892 


373 


939840 


119 


7.52052 


491 


247948 


32 


29 


692115 


372 


939768 


119 


752,347 


491 


247653 


31 


30 
31 


692339 


372 


939697 
9.939625 


119 
119 


752642 


491 


247358 


,30 
29 


9.692.562 


372 


9 . 7.52937 


491 


10.247063 


32 


692785 


371 


939554 


119 


753231 


491 


246769 


28 


33 


693008 


371 


939482 


119 


753526 


491 


246474 


27 


34 


693231 


371 


939410 


119 


753820 


490 


246180 


26 


35 


693453 


371 


939339 


119 


754115 


490 


245885 


25 


36 


693676 


370 


939267 


120 


754409 


490 


245591 


24 


37 


693898 


370 


939195 


120 


754703 


490 


245297 


23 


38 


694120 


370 


939123 


120 


754997 


490 


245003 


22 


39 


694342 


370 


939052 


120 


755291 


490 


244709 


21 


40 
41 


694564 
9.694786 


369 


938980 
9.938908 


120 
120 


755585 


489 


244415 


20 
19 


369 


9.755878 


489 


10.244122 


42 


695007 


369 


938836 


120 


756172 


489 


243828 


18 


43 


695229 


369 


938763 


120 


766465 


489 


243535 


17 


44 


695450 


368 


938691 


120 


756759 


489 


243241 


16 


45 


695671 


368 


938619 


120 


757052 


489 


242948 


15 


46 


69.5892 


368 


938547 


120 


757345 


488 


242655 


14 


47 


696113 


368 


938475 


120 


757638 


488 


242362 


13 


48 


696334 


367 


938402 


121 


757931 


488 


242069 


12 


49 


696554 


367 


938330 


121 


7.58224 


488 


241776 


11 


50 
51 


696775 


367 


938258 
9.938185 


121 
121 


758517 
9.758810 


488 


241483 


10 


9.696995 


j 367 


488 


10.241190 


52 


697215 


366 


938113 


121 


7,59102 


487 


240898 


8 


53 


697435 


; 366 


938040 


121 


759395 


487 


240605 


7 


[yi 


697654 


366 


937967 


121 


759687 


487 


240313 


6 


55 


697874 


366 


937895 


121 


759979 


487 


240021 


5 


56 


698094 


' 365 


937822 


121 


760272 


487 


239728 


4 


57 


69831? 


i 365 


937749 


121 


760564 


487 


239436 


3 


58 


698532 


365 


937676 


121 


760856 


486 


239144 


2 


59 


698751 


365 


937604 


121 


761148 


486 


238852 


1 


60 


698971 


) 364 


937531 


1 121 


761439 


486 


238561 







1 Cosine 


1 


I Sine 1 


1 (-'iitanp. 


1 


1 Tar.K. 1 M- | 








60 


Degr 


ee8. 









48 


(30 Dtsgrees.) a 


TABLE OF LOGARITHMIC 




M. 


Sine 


D. 1 


(\>«:iiie 1 D. 1 


Tantr. 1 


D. 


("oiaiis;. 1 1 





9.698970 


364 1 


9.937531 


121 


9.761439 


486 


10.238561 


60 


1 


699189 


364 


937458 


122 


761731 


486 


238269 


59 


2 


699407 


364 


937385 


122 


762023 


486 


237977 


58 


3 


699626 


364 


937312 


122 


762314 


486 


237686 


57 


4 


699844 


363 


937238 


122 


762606 


485 


237394 


56 


5 


700062 


363 


937165 


122 


762897 


485 


237103 


55 


6 


700280 


363 


937092 


122 


7S3188 


485 


236812 


54 


7 


700498 


363 


937019 


122 


763479 


485 


236521 


53 


8 


700716 


363 


936946 


122 


763770 


485 


2362301 52 


9 


700933 


362 


936872 


122 


764061 


485 


235939 51 


10 
11 


701151 


362 


936799 
9.936725 


122 
122 


764352 


484 


235648 50 
10.235357149 


9.701368 


362 


9.764643 


484 


12 


701585 


362 


936652 


123 


764933 


484 


2350671 48 


13 


701802 


361 


936578 


123 


765224 


484 


234776! 47 


14 


702019 


361 


936505 


123 


765514 


484 


2344861 46 


15 


702236 


361 


936431 


123 


765805 


484 


234195! 45 


16 


702452 


361 


936357 


123 


766095 


484 


233905' 44 


17 


702669 


360 


936284 


123 


766385 


483 


233615' 43 


18 


702885 


360 


936210 


123 


766675 


483 


233325! 42 


19 


703101 


360 


936136 


123 


766965 


483 


233035! 41 


20 
21 


703317 


360 


936062 
9 . 935988 


123 
123 


767255 


483 


232745 1 40 
10.232455139 


9.703533 


359 


9.767545 


483 


22 


703749 


359 


9.35914 


123 


767834 


483 


232166 38 


23 


703964 


359 


935840 


123 


768124 


482 


231876' 37 


24 


704179 


359 


935766 


124 


768413 


482 


231587; .36 


25 


704395 


359 


935692 


124 


768703 


482 


231297, 35 


26 


704610 


358 


935618 


124 


768992 


482 


23l00Si 34 


27 


704825 


358 


935543 


124 


769281 


482 


230719! 33 


28 


705040 


358 


935469 


124 


769570 


482 


2304301 32 


29 


705254 


358 


935395 


124 


769860 


481 


230140! 31 


30 
31 


705469 


357 


935320 


124 
124 


770148 


481 


229852 30 
10.229563 29 


9.705683 


357 


9.935246 


9.770437 


481 


32 


705898 


357 


935171 


124 


770726 


481 


229274! 28 


33 


706112 


357 


935097 


124 


771015 


481 


228985' 27 


34 


706326 


356 


935022 


124 


771303 


481 


228697: 26 


35 


706539 


356 


934948 


124 


771592 


481 


228408; 25 


36 


706753 


356 


934873 


124 


771880 


480 


228I20! 24 


37 


706967 


356 


934798 


125 


772168 


480 


227832' 23 


38 


707180 


355 


934723 


125 


772457 


480 


227.543 j 22 


39 


707393 


355 


934649 


125 


772745 


480 


2272551 21 


40 
41 


707606 


355 


934574 


125 
125 


773033 


480 


226967 20 
10.226679! 19 


9.707819 


355 


9 . 934499 


9.773321 


480 


42 


708032 


354 


934424 


125 


773608 


479 


226392! 18 


43 


708245 


354 


934349 


125 


773896 


479 


2261041 17 


44 


708458 


354 


934274 


125 


774184 


479 


2258161 16 


45 


708670 


354 


934199 


125 


774471 


479 


2255291 15 


46 


708882 


353 


934123 


125 


774759 


479 


2252411 14 


47 


709094 


3.53 


934048 


125 


775040 


479 


224954'; 13 


48 


709306 


353 


933973 


125 


775333 


479 


2246671 12 


49 


709518 


353 


933898 


126 


775621 


478 


224379 11 


50 
51 


709730 


353 


933822 
9.933747 


126 
126 


775908 


478 


224092 


[10 


9.709941 


352 


9.776195 


478 


10.223805 


9 


52 


710153 


352 


933671 


126 


776482 


478 


223518 


8 


53 


710364 


352 


933596 


126 


776769 


478 


223231 


7 


54 


710575 


352 


933520 


126 


777055 


478 


222945 


6 


55 


710786 


351 


933445 


126 


777342 


478 


222658 


5 


56 


710997 


351 


933369 


126 


777628 


477 


222372! 4 


67 


711208 


.351 


9332931 126 


777915 


477 


2220851 3 


58 


711419 


351 


933217 126 


778201 


477 


2217991 2 


59 


711629 


350 


9331411 126 


778487 


477 


221512 1 


60 


711839 


1 350 


933066' 126 


778774 


477 


221226 




1 Co.^iiie 




1 tfuie 


1 


1 Couiii;:. 


1 


1 'I'aiig. 


1 - 



59 Degrees. 





SrNES AND TANGENTS 


(31 Detrrees 


.) 


49 


M. 


Sine 1 


1). 1 Cosine j I). 


Tuni:. 


I). 


Colang. 1 ~] 





9 711839 


350 


9.933066 


126 


9.778774 


477 


10.221226 


60 


1 


' 712050 


350 


932990 


127 


779060 


477 


220940 


59 


2 


712260 


350 


932914 


127 


779346 


176 


220654 


58 


3 


712469 


349 


932838 


127 


779632 


476 


220368 


57 


4 


712679 


349 


932762 


127 


779918 


476 


220082 


56 


5 


712889 


349 


932685 


127 


780203 


476 


219797 


55 


6 


713098 


349 


932609 


127 


780489 


476 


219511 


54 


7 


713308 


349 


932533 


127 


780775 


476 


219225 


53 


8 


713517 


348 


932457 


127 


781060 


476 


218940 


52 


9 


713726 


348 


932380 


127 


781346 


475 


218654 


51 


10 
11 


713935 


348 


932304 
9.932228 


127 
127 


781631 
9.781916 


475 


218369 


50 
49 


9.714144 


348 


475 


10.218084 


12 


714352 


.347 


932151 


127 


782201 


475 


217799 


48 


13 


714561 


347 


932075 


128 


782486 


475 


217514 


47 


14 


714769 


347 


931998 


128 


782771 


475 


217229 


46 


15 


714978 


347 


931921 


128 


783056 


475 


216944 


45 


16 


715186 


347 


931845 


128 


783341 


475 


216659 


44 


17 


715394 


346 


931768 


128 


783626 


474 


216374 


43 


18 


715602 


346 


931691 


128 


783910 


474 


216090 


42 


19 


715809 


346 


931614 


128 


784195 


474 


215805 


41 


20 
21 


716017 


346 


931537 
9.931460 


128 
128 


784479 
9.784764 


474 
474 


215521 


40 
39 


9.716224 


345 


10.21.5236 


22 


716432 


345 


931383 


128 


785048 


474 


214952 


38 


23 


716639 


345 


931306 


128 


785332 


473 


214668 


37 


24 


716846 


345 


931229 


129 


785616 


473 


214384 


36 


25 


717053 


345 


931152 


129 


785900 


473 


214100 


35 


26 


717259 


344 


931075 


129 


786184 


473 


213816 


34 


27 


717466 


344 


930998 


129 


786468 


473 


213532 


33 


28 


717673 


344 


930921 


129 


786752 


473 


213248 


32 


29 


717879 


344 


930843 


129 


787036 


473 


212964 


31 


30 
31 


718085 


343 


930766 


129 
129 


787319 


472 


212681 


30 

29 


9.718291 


343 


9.930688 


9.787603 


472 


10.212397 


32 


718497 


343 


930611 


129 


787886 


472 


212114 


28 


33 


718703 


343 


930533 


129 


788170 


472 


211830 


27 


34 


718909 


343 


930456 


129 


788453 


472 


211547 


26 


35 


719114 


342 


930378 


129 


788736 


472 


211264 


25 


36 


719320 


342 


930300 


130 


789019 


472 


210981 


24 


37 


719525 


342 


930223 


130 


789302 


471 


210698 


23 


38 


719730 


342 


930145 


130 


789585 


471 


210415 


22 


39 


719935 


341 


930067 


130 


789868 


471 


210132 


21 


40 
41 


720140 


341 


929989 


130 
130 


790151 


471 


209849 


20 
19 


9.720345 


341 


9.929911 


9.790433 


471 


10.209567 


42 


720549 


341 


929833 


130 


790716 


471 


209284 


18 


43 


720754 


340 


929755 


130 


790999 


471 


209001 


17 


44 


720958 


340 


929677 


130 


791281 


471 


208719 


16 


45 


721162 


340 


929599 


130 


791563 


470 


208437 


15 


46 


721366 


340 


929521 


130 


791846 


470 


208154 


14 


47 


721570 


340 


929442 


1.30 


792128 


470 


207872 


13 


48 


721774 


339 


929364 


131 


792410 


470 


207590 


12 


49 


721978 


339 


929286 


131 


792692 


470 


207308 


11 


50 

51 


722181 
9.722385 


339 


929207 
9.929129 


131 
131 


792974 


470 


207026 


10 
9 


339 


9.793256 


470 


10.206744 


52 


722588 


339 


929050 


131 


793538 


469 


206462 


8 


53 


722791 


338 


928972 


131 


793819 


469 


206181 


7 


54 


722994 


338 


928893 


131 


794101 


469 


205899 


6 


55 


723197 


338 


928815 


131 


794383 


469 


205617 


5 


56 


723400 


338 


928736 


131 


794664 


469 


205336 


4 


57 


723603 


337 


928657 


131 


794945 


469 


205055 


3 


58 


723805 


337 


928578 


131 


795227 


469 


204773 


2 


59 


724007 


337 


928499 


131 


795508 


468 


204492 


1 


60 


724210 


337 


928420 


131 


795789 


468 


204211 







Cojiiie 


1 ^i"« I 


CotHim. 


1 


Tans. 1 M. | 



53 Degrees. 

G 



60 


(32 Degrees.) a 


TABLE OF liOGARITHMIC 




M. 


1 Sine 


1 D. 


1 Cosine . | D. 


1 Tang. 


1 D. 


1 Cotang. 1 1 





9.724210 


337 


9.928420 


132 


9.795789 


468 


10.204211 


60 


1 


724412 


337 


928342 


132 


796070 


468 


203930 


59 


2 


724614 


336 


928263 


132 


796351 


468 


203649 


58 


3 


724816 


336 


928183 


132 


796632 


468 


203368 


57 


4 


725017 


336 


928104 


132 


796913 


468 


203087 


56 


5 


725219 


336 


928025 


132 


797194 


468 


202806 


55 


6 


725420 


335 


927946 


132 


797475 


468 


202525 


54 


7 


725622 


335 


927867 


132 


797755 


468 


202245 


53 


8 


725823 


335 


927787 


132 


798036 


467 


201964 


52 


9 


726024 


335 


927708 


132 


798316 


467 


201684 


51 


10 
11 


726225 


335 


927629 


132 
132 


798596 


467 


201404 


50 
49 


9.726426 


334 


9.927549 


9.798877 


467 


10.201123 


12 


726626 


334 


927470 


133 


799157 


467 


200843 


48 


13 


726827 


334 


927390 


1.33 


799437 


467 


200563 


47 


14 


727027 


334 


927310 


133 


799717 


467 


200283 


46 


15 


727228 


334 


927231 


133 


799997 


466 


200003 


45 


16 


727428 


333 


927151 


133 


800277 


466 


199723 


44 


17 


727628 


333 


927071 


133 


800557 


466 


199443 


43 


18 


727828 


333 


926991 


133 


800836 


466 


199164 


42 


19 


728027 


333 


926911 


133 


801116 


466 


198884 


41 


20 
21 


728227 
9.728427 


333 
332 


926831 


133 
133 


801396 


466 


198604 
10.198325 


40 
39 


9.926751 


9.801675 


466 


22 


728626 


332 


926671 


133 


801955 


466 


198045 


38 


23 


728825 


332 


926591 


133 


802234 


465 


197766 


37 


24 


729024 


332 


926511 


134 


802513 


465 


197487 


36 


25 


729223 


331 


926431 


134 


802792 


465 


197208 


35 


26 


729422 


331 


926351 


134 


803072 


465 


196928 


34 


27 


729621 


331 


920270 


134 


803351 


465 


196649 


33 


28 


729820 


331 


926190 


134 


803630 


465 


196370 


32 


29 


730018 


330 


926110 


134 


803908 


465 


196092 


31 


30 
31 


730216 


330 


926029 


134 
134 


804187 


465 


195813 


30 
29 


9.730415 


330 


9.925949 


9.804466 


464 


10.195534 


32 


730613 


330 


925868 


134 


804745 


464 


195255 


28 


33 


73081] 


330 


925788 


134 


805023 


464 


194977 


27 


34 


731009 


329 


925707 


134 


805302 


464 


194698 


26 


35 


731206 


329 


925626 


134 


805580 


464 


194420 


25 


36 


731404 


329 


925545 


135 


805859 


464 


194141 


24 


37 


731602 


329 


925465 


135 


806137 


464 


193863 


23 


38 


731799 


329 


925384 


135 


806415 


463 


193585 


22 


39 


731996 


328 


925303 


1.35 


806693 


463 


193307 


21 


40 
41 


732193 


328 


925222 


135 
135 


806971 
9.807249 


463 
463 


193029 


20 
19 


9.732390 


328 


9.925141 


10.192751 


42 


732587 


328 


925060 


135 


807527 


463 


192473 


18 


43 


732784 


328 


924979 


135 


807805 


463 


192195 


17 


44 


732980 


327 


924897 


135 


808083 


463 


191917 


16 


45 


733177 


327 


924816 


135 


808361 


463 


191639 


15 


46 


733373 


327 


924735 


136 


808638 


462 


191362 


14 


47 


733569 


327 


924654 


136 


808916 


462 


191084 


13 


48 


733765 


327 


924572 


136 


809193 


462 


190807 


12 


49 


733961 


326 


924491 


136 


809471 


462 


190529 


11 


50 
51 


734157 


326 


924409 


136 
136 


809748 


462 


190252 


10 
9 


9.734353 


326 


9.924328 


9.810025 


462 


10.189975 


52 


734549 


326 


924246 


136 


810302 


462 


189698 


8 


53 


734744 


325 


924164 


136 


810580 


462 


189420 


7 


54 


734939 


325 


924083 


136 


810857 


462 


189143 


6 


55 


735135 


325 


924001 


136 


811134 


461 


188866 


5 


56 


735330 


325 


923919 


136 


811410 


461 


188590 


4 


57 


735525 


325 


923S37 


136 


81168? 


461 


188313 


3 


58 


735719 


324 


923755 


137 


811964 


461 


188036 


2 


59 


735914 


324 


923673 


137 


812241 


461 


187759 


1 


60 


736109 


324 


923591 


137 


812517 


461 


187483 





~ 


Cosine 1 


1 


Sine 1 1 


Cotang. 1 




Tang. 1 M. | 



57 Degrees. 





sixt.s AND TANGENTS. (33 Degrees 


.) 


51 


M. 


Sine 


1). 


Ci)sine | I). 


1 Tang. 1 


D. 


Cotang. 1 1 


T 


9.736109 


324 


9.923591 


137 


9.812517 


461 


10.187482 


60 




736303 


324 


923509 


137 


812794 


461 


187206 


59 


2 


736498 


324 


923427 


137 


813070 


461 


186930 


58 


3 


736692 


323 


923345 


137 


813347 


460 


186653 


57 


4 


736886 


323 


923263 


137 


813623 


460 


186377 


56 


5 


737080 


323 


923181 


137 


813899 


460 


186101 


55 


6 


737274 


323 


923098 


137 


814175 


460 


185825 


54 


7 


737467 


323 


923016 


137 


814452 


460 


185548 


53 


8 


737661 


322 


922933 


137 


814728 


460 


185272 


52 


9 


737855 


322 


922851 


137 


815004 


460 


184996 


51 


10 
11 


738048 


322 


922768 
9.922686 


138 
138 


815279 


460 


184721 


50 
49 


9.738241 


322 


9.815555 


459 


10.184445 


12 


738434 


322 


922603 


138 


815831 


459 


184169 


48 


13 


738627 


321 


922520 


138 


816107 


459 


183893 


47 


14 


738820 


321 


922438 


138 


816382 


459 


183618 


46 


15 


739013 


321 


922355 


138 


816658 


459 


183342 


45 


16 


739206 


321 


922272 


138 


816933 


459 


183067 


44 


17 


739398 


321 


922189 


138 


817209 


459 


182791 


43 


18 


739590 


320 


922106 


138 


817484 


459 


182516 


42 


19 


739783 


320 


922023 


138 


817759 


459 


182241 


41 


20 
21 


739975 


320 


921940 


138 
139 


818035 


458 


181965 


40 
39 


9,740167 


320 


9.921857 


9.818310 


458 


10.181690 


22 


740359 


320 


921774 


139 


818585 


458 


181415 


38 


23 


740550 


319 


921691 


139 


818860 


458 


181140 


37 


24 


740742 


319 


921607 


139 


819135 


458 


180865 


36 


25 


740934 


319 


921524 


139 


819410 


458 


180590 


35 


26 


741125 


319 


921441 


139 


819684 


458 


180316 


34 


27 


741316 


319 


921357 


139 


819959 


458 


180041 


33 


28 


741508 


318 


921274 


139 


820234 


458 


179766 


32 


29 


741699 


318 


921190 


139 


820508 


457 


179492 


31 


30 
31 


741889 
9.742080 


318 


921107 
9.921023 


139 
139 


820783 


457 


179217 


30 

29 


318 


9.821057 


457 


10.178943 


32 


742271 


318 


920939 


140 


821332 


457 


178668 


28 


33 


742462 


317 


920856 


140 


821606 


457 


178394 


27 


34 


742652 


317 


920772 


140 


821880 


457 


178120 


26 


35 


742842 


317 


920688 


140 


822154 


457 


177846 


25 


36 


743033 


317 


920604 


140 


822429 


457 


177571 


24 


37 


743223 


317 


920520 


140 


822703 


457 


177297 


23 


38 


743413 


316 


920436 


140 


822977 


456 


177023 


22 


39 


743602 


316 


920352 


140 


823250 


456 


176750 


21 


40 
41 


743792 


316 


920268 
9.920184 


140 
140 


823524 


456 


176476 


20 
19 


9.743982 


316 


9.823798 


456 


10.176202 


42 


744171 


316 


920099 


140 


824072 


456 


175928 


18 


43 


744361 


315 


920015 


140 


824345 


456 


175655 


17 


44 


744550 


315 


919931 


141 


824619 


456 


175381 


16 


45 


744739 


315 


919846 


141 


824893 


456 


175107 


15 


46 


744928 


315 


919762 


141 


825166 


456 


174834 


14 


47 


745117 


315 


919677 


141 


825439 


455 


174561 


13 


48 


745306 


314 


919593 


141 


825713 


455 


174287 


12 


49 


745494 


314 


919508 


141 


825986 


455 


174014 


11 


50 

51 


745683 


314 


919424 
9.919339 


141 
141 


826259 
9.826532 


455 
455 


173741 


10 
9 


9.745871 


314 


10.173468 


52 


746059 


314 


919254 


141 


826805 


455 


173195 


8 


53 


746248 


313 


919169 


141 


827078 


455 


172922 


7 


54 


746436 


313 


919085 


141 


827351 


455 


172649 


6 


55 


746624 


313 


919000 


141 


827624 


455 


172376 


5 


56 


746812 


313 


918915 


142 


827897 


454 


172103 


4 


57 


746999 


313 


918830 


142 


828170 


454 


171830 


3 


58 


747187 


312 


918745 


142 


828442 


454 


171558 


2 


59 


747374 


312 


918659 


142 


828715 


454 


171285 


1 


60 


747562 


312 


918574 


142 


828987 


454 


171013 





~ 


Cosine 




S,„e 1 


Colang. 




1 Tanj:. | M. | 



56 Degrees. 



52 


(3 


4 Degrees.') a 


TABLE OF LOGARITHMIC 




M. 


Sine 


D. 


Cosine . | D. 


Tau'j. 


D. 


Cotang. 1 1 





9.747562 


312 


9.918574 


142 


9.828987 


454 


10.171013 


60 


1 


747749 


312 


918489 


142 


829260 


454 


170740 


59 


2 


747936 


312 


918404 


142 


829532 


454 


170468 


58 


3 


748123 


311 


918318 


142 


829805 


454 


170195 


57 


4 


748310 


311 


918233 


142 


830077 


454 


169923 


56 


5 


748497 


311 


918147 


142 


830349 


453 


169651 


55 


6 


748683 


311 


918062 


142 


830621 


453 


169379 


54 


7 


748870 


311 


917976 


143 


830893 


453 


169107 


53 


8 


749056 


310 


917S91 


143 


831165 


453 


16S835 


52 


9 


749243 


310 


917805 


145 


831437 


453 


168563 


51 


10 
11 


749429 


310 


917719 


143 
143 


831709 


453 


168291 


50 

49 


9.749615 


310 


9.917634 


9.831931 


453 


10.168019 


12 


749801 


310 


917548 


143 


832253 


453 


167747 


48 


13 


749987 


309 


917462 


143 


832525 


453 


167475 


47 


14 


750172 


309 


917376 


143 


832796 


453 


167-^04 


46 


15 


750358 


309 


917290 


143 


833068 


452 


166932 


45 


16 


750543 


309 


917204 


143 


833339 


452 


166661 


44 


17 


750729 


309 


917118 


144 


833611 


452 


166389 


43 


18 


750914 


308 


917032 


144 


833882 


452 


166118 


42 


19 


751099 


308 


916946 


14^1 


834154 


452 


165846 


41 


20 


75 1284 


308 


916859 


144 


834425 


452 


165575 


40 


21 


9.751469 


308 


9.916773 


I44 


9.834696 


452 


10.165304 


39 


22 


751654 


308 


916687 


144 


834967 


452 


165033 


38 


23 


751839 


308 


916600 


144 


835238 


452 


164762 


37 


24 


752023 


307 


916514 


144 


835509 


452 


164491 


36 


25 


752208 


307 


916427 


144 


835780 


451 


164220 


35 


26 


752392 


.307 


916341 


144 


836051 


451 


163949 


34 


27 


752576 


307 


916254 


144 


836322 


451 


163678 


33 


28 


752760 


307 


916167 


145 


836593 


451 


163407 


32 


29 


752944 


306 


916081 


145 


836864 


451 


163136 


31 


30 
31 


753128 


306 


915994 
9.915907 


145 
145 


837134 


451 


162866 


30 
29 


9.753312 


306 


9.837405 


451 


10.162595 


32 


753495 


306 


915820 


145 


837675 


451 


162325 


28 


33 


753679 


306 


915733 


145 


837946 


451 


162054 


27 


34 


753862 


305 


915646 


14.5 


838216 


451 


161784 


26 


35 


754046 


305 


915559 


145 


838487 


450 


161513 


25 


36 


754229 


305 


915472 


145 


83S757 


450 


161243 


24 


37 


754412 


305 


915385 


145 


839027 


450 


160973 


23 


38 


754595 


305 


915297 


145 


839297 


450 


160703 


22 


39 


754778 


304 


915210 


145 


839568 


450 


160432 


21 


40 

41 


754960 


304 


915123 
9.915035 


146 
146 


839838 


450 


160162 
10.159892 


20 
19 


9.755143 


304 


9.840108 


450 


42 


755326 


304 


914948 


146 


840378 


450 


159622 


18 


43 


755508 


304 


914860 


146 


&40647 


450 


159353 


17 


44 


755690 


304 


914773 


146 


840917 


449 


159083 


16 


45 


755872 


303 


914685 


146 


841187 


449 


158813 


15 


46 


756054 


303 


914598 


146 


841457 


449 


15.8543 


14 


47 


756236 


303 


914510 


146 


841726 


449 


i 58274 


13 


48 


756418 


303 


914422 


146 


841996 


449 


158004 


12 


49 


756600 


303 


914334 


146 


842266 


449 


157734 


11 


50 

51 


756782 


302 


914246 
9.914158 


147 
147 


842535 
9.842805 


449 


157465 


10 
9 


9.756963 


302 


449 


10.157195 


52 


757144 


303 


914070 


147 


843074 


449 


156926 


8 


53 


757326 


302 


913982 


147 


843343 


449 


156657 


7 


54 


757507 


302 


913894 


147 


843612 


449 


156388 


6 


55 


757688 


.301 


913806 


147 


843882 


448 


156118 


5 


56 


757869 


301 


913718 


147 


844151 


448 


155849 


4 


57 


758050 


301 


913630 


147 


844420 


448 


155580 


3 


58 


758230 


301 


913541 


147 


844689 


448 


155311 


2 


59 


758411 


301 


91.3453 


147 


844958 


448 


155042 


1 


60 


758591 


301 


913365 


147 


845227 


448 


154773 







1 Cosine 




Sine 1 


Ciiiang. 




Tang. j M. | 



5a Degrees. 





SINES AND TANGENTS. 


(35 Degrees. 


) 


63 


M. 


Sine 1 


D. 


Cosine | D. | 


Tang. 


1-^. 1 


Cotane. 1 1 





9.768591 


301 


9.913365 


147 


9.845227 


448 


10.154773 


60 


1 


758772 


300 


913276 


147 


845496 


448 


154504 


59 


2 


758952 


300 


913187 


148 


845764 


448 


154236 


58 


3 


759132 


300 


913099 


148 


846033 


448 


153967 


57 


4 


759312 


300 


913010 


148 


846302 


448 


153698 


56 


5 


759492 


300 


912922 


148 


846570 


447 


153430 


55 


6 


759672 


299 


912833 


148 


846839 


447 


153161 


54 


7 


759852 


299 


912744 


148 


847107 


447 


152893 


53 


8 


760031 


299 


912655 


148 


847376 


447 


152624 


52 


9 


760211 


299 


912566 


148 


847644 


447 


152356 


51 


10 
11 


760390 


299 


912477 
9.912388 


148 
148 


847913 


447 


152087 


50 
49 


9.760569 


298 


9.848181 


447 


10.151819 


12 


760748 


298 


912299 


149 


848449 


447 


151551 


48 


13 


760927 


298 


912210 


149 


848717 


447 


151283 


47 


14 


761106 


298 


912121 


149 


848986 


447 


151014 


46 


15 


761285 


298 


912031 


149 


849254 


447 


150746 


45 


16 


761464 


298 


911942 


149 


849522 


447 


150478 


44 


17 


761642 


297 


911853 


149 


849790 


446 


150210 


43 


18 


761821 


297 


911763 


149 


850058 


446 


149942 


42 


19 


761999 


297 


911674 


149 


850325 


446 


149675 


41 


20 

21 


762177 


297 


911584 
9.911495 


149 
149 


850593 


446 


149407 


40 
39 


9.762356 


297 


9.850861 


446 


10.149139 


22 


762534 


296 


911405 


149 


851129 


446 


148871 


38 


23 


762712 


296 


911315 


150 


851396 


446 


148604 


37 


24 


762889 


296 


911226 


150 


851664 


446 


148336 


36 


25 


763067 


296 


911136 


150 


851931 


446 


148069 


35 


26 


763245 


296 


911046 


150 


852199 


446 


147801 


34 


27 


763422 


296 


910956 


150 


852466 


446 


147534 


33 


28 


763600 


295 


910806 


150 


852733 


445 


147267 


32 


29 


763777 


295 


910776 


150 


853001 


445 


146999 


31 


30 
31 


763954 


295 


9106S6 


150 
150 


853268 


445 


146732 


30 
29 


9.764131 


295 


9.910596 


9.853535 


445 


10.146465 


32 


764308 


295 


910506 


150 


853802 


445 


146198 


28 


33 


764485 


294 


910415 


150 


854069 


445 


145931 


27 


34 


764662 


294 


910325 


151 


854336 


445 


145664 


26 


35 


764838 


294 


910235 


151 


854603 


445 


145397 


25 


36 


765015 


294 


910144 151 


8.54870 


445 


145130 


24 


37 


765191 


294 


910054 


151 


8.55137 


445 


144863 


23 


38 


765367 


294 


909963 


151 


855404 


445 


144596 


22 


39 


765544 


293 


909873 


151 


855671 


444 


144329 


21 


40 
41 


765720 


293 


909782 
9.909691 


151 
151 


855938 


444 


144062 


20 
19 


9.765896 


293 


9.856204 


444 


10.143796 


42 


766072 


293 


909601 


151 


856471 


444 


143529 


18 


43 


766247 


293 


909510 


151 


856737 


444 


143263 


17 


44 


766423 


293 


909419 


151 


857004 


444 


142996 


16 


45 


766598 


292 


909328 


152 


857270 


444 


142730 


15 


46 


766774 


292 


909237 


152 


857537 


444 


142463 


14 


47 


766949 


292 


909146 


152 


857803 


444 


142197 


13 


48 


767124 


292 


909055 


152 


8.58069 


444 


141931 


12 


49 


767300 


292 


908964 


152 


858336 


444 


141664 


11 


50 

51 


767475 


291 


908873 
9.908781 


152 
1.52 


858602 


443 


141398 
10.141132 


10 
9 


9.767649 


291 


9.858868 


443 


52 


767824 


291 


908690 


152 


8591.34 


443 


140866 


8 


53 


767999 


291 


908599 


152 


859400 


443 


140600 


7 


54 


768173 


291 


908507 


152 


859666 


443 


140334 


6 


55 


768348 


290 


908416 


1.53 


859932 


443 


140068 


5 


56 


768522 


290 


908324 


1 153 


860198 


443 


139802 


4 


57 


768697 


290 


908233 


! 153 


860464 


443 


139536 


3 


58 


768871 


290 


908141 


153 


860730 


443 


139270 


2 


59 


769045 


290 


908049 


153 


860995 


443 


139005 


1 


60 


769219 


290 


907958' 153 


861261 


443 


138739 







1 Cosine 




1 ^i"*^ 1 


1 Cdtaiif;. 




1 Tang. 1 iM. 1 



54 Degrees. 



64 


(3(3 Degrees.) a 


TABLE OF LooAJRITHJUC 




M. 


1 Sine 


D. 


Cosine 1 I). 


1 Tans. 


D. 


1 Cotang. 1 1 





9.769219 


290 


9.907958 


153 


9.S61261 


443 


10.138739 


60 


1 


769393 


289 


907866 


153 


801527 


443 


138473 


59 


2 


769566 


289 


907774 


153 


861792 


442 


138208 


58 


3 


769740 


2S9 


9076S2 


153 


862058 


442 


137942 


57 


4 


769913 


289 


907590 


153 


862323 


442 


137677 


56 


5 


770087 


289 


907498 


153 


8.62589 


442 


137411 


55 


6 


770260 


288 


907406 


153 


862854 


442 


137146 


54 


7 


770433 


288 


907314 


154 


863119 


442 


136881 


53 


8 


770606 


288 


907222 


154 


863385 


442 


136615 


52 


9 


770779 


288 


907129 


154 


863650 


442 


136350 


51 


10 
11 


770952 


288 


907037 


154 
154 


863915 


442 


1360S5 
10.1 358 2U 


50 

49 


9.771125 


288 


9 906945 


9.864180 


442 


12 


77129S 


287 


906852 


154 


864445 


442 


135555 


48 


13 


771470 


287 


906760 


154 


864710 


442 


135290 


47 


14 


771643 


287 


906667 


154 


864975 


441 


135025 


46 


15 


771S15 


287 


906575 


154 


865240 


441 


134760 


45 


16 


7719S7 


287 


906482 


154 


865505 


441 


134495 


44 


17 


772159 


287 


906389 


155 


865770 


441 


134230 


43 


IS 


772331 


286 


906296 


155 


866035 


441 


133965 


42 


19 


772503 


286 


906204 


155 


866300 


441 


133700 


41 


20 
21 


772675 
9.772847 


286 


906111 


155 
155 


866561 


441 


133436 


40 
39 


286 


9.906018 


9.866829 


441 


10.133171 


22 


773018 


286 


905925 


155 


867094 


441 


132906 


38 


•23 


773190 


286 


905832 


155 


867358 


441 


132642 


37 


24 


773361 


285 


905739 


155 


867623 


441 


132377 


36 


25 


773533 


285 


905645 


155 


867887 


441 


132113 


35 


26 


773704 


285 


905552 


155 


868152 


440 


131848 


34 


27 


773875 


285 


905459 


155 


868416 


440 


131584 


33 


28 


774046 


285 


905366 


156 


868680 


440 


131320 


32 


29 


771217 


285 


905272 


156 


868945 


440 


131055 


31 


30 

31 


774388 


284 


905179 


156 
156 


869209 


440 


130791 
10.130527 


30 
29 


9.774558 


284 


9.905085 


9.869473 


440 


32 


774729 


284 


904992 


156 


869737 


440 


130263 


28 


33 


774899 


284 


904898 


156 


870001 


440 


129999 


27 


34 


775070 


284 


904804 


156 


870265 


440 


129735 


26 


35 


775240 


284 


904711 


156 


870529 


440 


129471 


25 


36 


775410 


283 


904617 


156 


870793 


440 


129207 


24 


37 


775580 


283 


904523 


156 


871057 


440 


128943 


23 


38 


775750 


283 


904429 


157 


871321 


440 


128679 


22 


39 


775920 


283 


904335 


157 


871585 


440 


128415 


21 


40 

41 


776090 


283 


904241 
9.904147 


157 
157 


871849 


439 


128151 
10.1278SS 


20 
19 


9.776259 


283 


9.872112 


439 


42 


776429 


282 


904053 


157 


872376 


439 


127624 


18 


43 


776598 


282 


903959 


157 


872640 


439 


127360 


17 


44 


776768 


282 


903864 


157 


872903 


439 


127097 


16 


45 


776937 


282 


903770 


157 


873167 


439 


126833 


15 


46 


777106 


282 


903676 


157 


8734.30 


439 


126570 


14 


47 


777275 


281 


903581 


157 


873694 


439 


126306 


13 


48 


777444 


281 


903487 


157 


873957 


439 


126043 


12 


49 


777613 


281 


903392 


158 


874220 


439 


125780 


11 


50 
51 


777781 
9.777950 


281 
281 


903298 
9.903203 


158 
158 


874484 


439 


125516 
10.125253 


10 
9 


9.874747 


439 


52 


778119 


281 


903108 


158 


875010 


439 


124990 


8 


53 


778287 


280 


903014 


158 


875273 


438 


124727 


7 


54 


778455 


280 


902919 


158 


875536 


438 


124464 


6 


55 


778624 


280 


902824 


158 


875800 


438 


124200 


5 


56 


778792 


280 


902729 


158 


876063 


438 


123937 


4 


57 


778960 


280 


902634 


158 


876326 


438 


123674 


3 


58 


779128 


280 


902539 


[159 


876589 


438 


123411 


2 


59 


779295 


279 


902444 


!l59 


876851 


438 


123149 


1 


60 


779463 


279 


902349 


159 


877114 


438 


122886 







Cosine 




1 Sine 1 


Cotang. 




1 Tang, j M. [ 



53 Degrees^ 





KIMvS AND TANOENTS. (37 JJ 


►eijrecd 


•) 


sa 




M.| 


HitlK 1 


r>. 1 


C<min« 1 I). 1 


Tarn 


n. 1 


C.lnnz. 1 1 







9.779463 


279 


9.902.349 


159 


9.877114 


438 


10.122886 


60 






779631 


279 


902253 


159 


877377 


438 


122623 


59 




'Z 


779798 


279 


902158 


1 59 


877640 


438 


122360 


58 




.i 


779966 


279 


902063 


1 59 


877903 


438 


1 22097 


57 




4 


7H0I3:{ 


279 


901967 


i 59 


878165 


438 


12IH35 


56 




5 


780300 


278 


901872 


159 


878428 


438 


121572 


55 




6 


780467 


278 


901776 


159 


878691 


438 


121309 


54 




7 


780634 


278 


901681 


159 


87H953 


437 


121047 


53 




8 


7M0H0 1 


278 


901585 


1.59 


879216 


437 


120784 


52 




9 


780968 


278 


901490 


1.59 


879478 


437 


120522 


51 




10 
11 


7S1134 


278 


901394 
9.90129^^ 


160 
160 


879741 
9.8S0003 


437 


120259' 
10.119997 


50 

49 




9.781301 


277 


437 




12 


78146H 


277 


901202 


160 


880265 


437 


119735 


48 




i:j 


7H1634 


277 


90 1 1 06 


160 


8H0528 


437 


119472 


47 




14 


781800 


277 


901010 


160 


8H0790 


437 


119210 


46 




15 


781966 


277 


900914 


160 


881052 


437 


118948 


45 




If) 


782 1 32 


277 


9008 H 


160 


881314 


437 


118686 


44 




17 


782298 


276 


90f)722 


160 


881576 


437 


118424 


43 




18 


782464 


276 


900626 


160 


881839 


437 


118161 


42 




19 


7-52630 


276 


900529 


160 


882101 


437 


117899 


41 




20 
21 


782796 
9.782961 


276 


900433 
9 . 900337 


161 
161 


882363 
9.882625 


436 


117637 


40 
39 




276 


436 


10.117375 




22 


7S3127 


276 


900240 


161 


882887 


436 


117113 


38 




23 


783292 


275 


900144 


161 


883148 


436 


116852 


37 




24 


783458 


275 


900047 


161 


883410 


436 


116590 


36 




25 


783623 


275 


899951 


161 


883672 


436 


116.328 


35 




26 


783788 


275 


899854 


.161 


883934 


436 


116066 


34 




27 


783953 


275 


899757 


161 


884196 


436 


115804 


33 




2.S 


7'S4118 


275 


899660 


161 


884457 


4.36 


115543 


32 




29 


784282 


274 


899564 


161 


884719 


436 


115281 


31 




yo 

31 


784447 


274 


899467 
9.899370 


162 
162 


884980 
9.885242 


436 


115020 
10.1147.58 


30 
29 




9.784612 


274 


436 




32 


784776 


274 


899273 


162 


885503 


436 


114497 


28 


33 


78494 1 


274 


899176 


162 


885765 


436 


114235 


27 


34 


785105 


274 


899078 


162 


886026 


436 


113974 


26 


35 


785269 


273 


898981 


162 


886288 


436 


113712 


25 


36 


785433 


273 


898884 


162 


886549 


435 


113451 


24 


37 


785597 


273 


898787 


162 


886810 


435 


113190 


23 




38 


785761 


273 


898689 


162 


887072 


435 


112928 


22 




39 


785925 


273 


898592 


162 


887333 


435 


112667 


21 




40 
41 


786089 


273 


898494 
9.898397 


163 
163 


887594 
9.887855 


435 
435 


112406 


20 
19 




9 . 786252 


272 


10.112145 




42 


786416 


272 


898299 


163 


888116 


435 


111884 


18 




43 


786579 


272 


898202 


163 


888377 


435 


111623 


17 




44 


786742 


272 


898104 


163 


888639 


435 


111361 


16 




45 


786906 


272 


898006 


163 


888900 


435 


111100 


15 




46 


787069 


272 


897908 


163 


889160 


435 


110840 


14 




47 


787232 


271 


897810 


163 


889421 


435 


110579 


13 




48 


787395 


271 


897712 


163 


889682 


435 


110318 


12 




49 


787557 


271 


897614 


163 


889943 


4.35 


110057 


11 




50 


787720 


271 


897516 


163 


890204 


4.34 


109796 


10 




51 


9.787883 


271 


9.897418 


164 


9.890465 


434 


10.109535 


9 




52 


788045 


271 


897320 


164 


890725 


434 


109275 


8 




53 


788208 


271 


897222 


164 


890986 


434 


109014 


7 




54 


788370 


270 


897123 


164 


891247 


434 


108753 


6 




55 


788532 


270 


897025 


164 


891.507 


434 


108493 


5 




56 


788694 


270 


896926 


164 


891768 


434 


108232 


4 




57 


788856 


270 


896828 


164 


892028 


4.34 


107972 


3 




58 


789018 


270 


896729 


164 


892289 


434 


107711 


2 




59 


789180 


270 


896631 


164 


892549 


434 


107451 


1 




60^ 


789342 


269 


896532 


164 


892810 


434 


107190 









(JofliiKi 




1 Sine 1 


1 (Jr,lailg. 


1 


1 Ta„g. 1 





52 Decrees 



56 


(38 Degrees.) a 


TABLE OF LOGARITHinC 




"m" 


1 Sine 


D. 


C.isine D. 


Tar.i. 


D. 


Cotans. 1 





9 . 7S9342 


269 


9.39653-: 


164 


9.S92310 


434 


10.107190 60 


1 


739504 


269 


396433 


165 


393070 


434 


106930 59 


2 


789665 


269 


896335 


165 


893331 


434 


I06669i 58 


3 


789827 


269 


896236 


105 


893591 


434 


10^409 .57 


4 


789988 


269 


896137 


165 


893851 


434 


106149 56 


5 


790149 


269 


896038 


165 


894111 


434 


10.58S9 55 


6 


790310 


268 


895939 


165 


894371 


434 


105629 54 


7 


790471 


263 


895840 


165 


894632 


433 


10.5363 .53 


8 


790632 


263 


895741 


165 


894892 


433 


105103 .52 


9 


790793 


268 


895641 


165 


895152 


4.33 


104348 51 


10 
11 


790954 
9.791115 


268 
268 


895.542 


165 
166 


89.5412 
9.89.5672 


433 
433 


104533 50 
10.104323 49 


9.395443 


12 


791275 


267 


895343 


166 


895932 


433 


104063 48 


13 


791436 


267 


895244 


166 


896192 


433 


103803 47 


14 


791596 


267 


895145 


166 


896452 


433 


103548 46 


15 


791757 


267 


895045 


166 


896712 


433 


10:3233 45 


16 


791917 


267 


894945 


166 


896971 


433 


103029 44 


17 


792077 


267 


394346 


166 


897231 


433 


102769 43 


18 


792237 


266 


894746 


166 


897491 


433 


102509 42 


19 


792397 


266 


894646 


166 


897751 


433 


102249 41 


20 
21 


7925.37 


266 


894546 
9.394446 


166 
167 


393010 
9.393270 


433 
433 


101990 40 
10.10173U 39 


9.792716 


266 


22 


792876 


266 


894346 


167 


893530 


433 


101470 ZS 


23 


793035 


266 


894246 


167 


398739 


4:33 


101211 37 


24 


793195 


265 


894146 


167 


899049 


432 


100951 .36 


25 


793354 


265 


394046 


167 


899308 


432 


100692 35 


26 


793514 


265 


893946 


167 


399568 


432 


1004:32 34 


27 


793673 


265 


393346 


167 


899327 


432 


100173 :33 


28 


793832 


265 


393745 


167 


900086 


432 


099914 32 


29 


793991 


265 


393645 


167 


900346 


4:32 


0996-54 31 


30 
31 


794150 


264 


393544 
9.S93444 


167 
163 


900605 
9.900364 


4:32 
432 


099395 30 
10.099136 29 


9.794303 


264 


32 


794467 


264 


393343 


163 


901124 


432 


093376 23 


33 


794626 


264 


893243 


163 


901333 


432 


093617 -^7 


34 


794784 


264 


893142 


163 


901642 


432 


093353 26 


35 


794942 


264 


893041 


168 


901901 


4:32 


093099 25 


36 


795101 


264 


392940 


168 


902160 


432 


097340 24 


37 


795259 


263 


892339 


163 


902419 


432 


097.531 23 


33 


795417 


263 


892739 


163 


902679 


432 


097321' 22 


39 


795575 


263 


892633 


163 


902938 


432 


097062! 21 


40 

41 


795733 


263 


392536 
9.3924^5 


163 

169 


903197 
9.903455 


4:31 
431 


096303' 20 
10.096545 19 


9.795891 


263 


42 


796049 


263 


392334 


169 


903714 


431 


096236 18 


43 


796206 


263 


892233 


169 


903973 


431 


096027 17 


44 


796364 


262 


892132 


169 


904232 


431 


095763 16 


45 


796521 


262 


892030 


169 


904491 


431 


09.5.509 15 


46 


796679 


262 


891929 


169 


904750 


431 


095250 14 


47 


796836 


262 


891327 


169 


90.5003 


431 


094992 13 


48 


796993 


262 


391726 


169 


905267 


431 


0947:J3 12 


49 


797150 


261 


891624 


169 


905526 


431 


094474 11 


50 

51 


797307 


261 


891523 

9.391421 


170 
170 


905734 
9.906043 


431 
431 


094216 


10 


9.797464 


261 


10.093957 


9 


52 


797621 


261 


391319 


170 


906302 


431 


093693 


8 


53 


797777 


261 


891217 


170 


906560 


431 


093440 


7 


54 


797934 


261 


891115 


170 


906819 


431 


093181 


6 


55 


798091 


261 


891013 


170 


907077 


431 


092923 5 


56 


798247 


261 


890911 


170 


907336 


431 


092664; 4 


57 


798403 


360 


890309 


170 


907594 


431 


092406^ 3 


58 


798560 


260 


890707 


170 


907852 


431 


0921 43 2 


59 


793716 


260 


890605 


170 


908111 


430 


091339, 1 


60 


7933 72 


260 


390503 


170 


9033^9 


4:30 


0916311 




C :-„r 




?-... 


.;::.- 




: .-. M 



SI Degre«& 



I 





SINES AND TANGENTS 


. (39 Degrees 





67 


M. 


1 Sine 


1 1^. 


Cosine j 1). 


! Tang. 


1). 


Cola OS. 1 1 





9.798872 


260 


9.890503 


170 


9.908369 


430 


10.091631 


60 


1 


799028 


260 


890400 


171 


908628 


430 


091372 


59 


2 


799184 


260 


890298 


171 


908886 


430 


091114 


58 


3 


799339 


2.59 


890195 


171 


909144 


430 


090856 


57 


4 


799495 


259 


890093 


171 


909402 


430 


090598 


56 


5 


799651 


259 


889990 


171 


909660 


430 


090340 


55 


6 


799806 


259 


889888 


171 


909918 


430 


090082 


54 


7 


799962 


259 


889785 


171 


910177 


430 


089823 


53 


8 


800117 


259 


889682 


171 


910435 


430 


089505 


52 


9 


800272 


258 


889579 


171 


910693 


430 


089307 


51 


10 
11 


800427 
9.800582 


258 
2.58 


889477 
9.889374 


171 
172 


910951 


430 


089049 


50 
49 


9.911209 


430 


10.088791 


12 


800737 


258 


889271 


172 


911467 


430 


088533 


48 


13 


800892 


258 


889168 


172 


911724 


430 


088276 


47 


14 


801047 


258 


889064 


172 


911982 


430 


088018 


46 


15 


801201 


2.58 


888961 


172 


912240 


430 


087760 


45 


16 


801356 


257 


888858 


172 


912498 


430 


087502 


44 


17 


801511 


257 


888755 


172 


912756 


430 


087244 


43 


18 


801(565 


257 


888651 


172 


913014 


429 


080986 


42 


19 


801819 


257 


888548 


172 


913271 


429 


086729 


41 


20 

21 


801973 
9.802128 


257 


8884^14 
9.888341 


173 
173 


913529 


429 


086471 


40 
39 


257 


9.913787 


429 


10.086213 


22 


802282 


256 


888237 


173 


914044 


429 


085956 


38 


23 


802136 


256 


888134 


173 


914302 


429 


085698 


37 


21 


802589 


256 


888030 


173 


914560 


429 


085440 


36 


25 


802743 


256 


887926 


173 


914817 


429 


085183 


35 


2t) 


802897 


256 


887822 


173 


915075 


429 


084925 


34 


27 


803050 


256 


887718 


173 


915332 


429 


084668 


33 


2S 


803204 


256 


887614 


173 


915590 


429 


084410 


32 


29 


803357 


255 


887510 


173 


915847 


429 


084153 


31 


30 
31 


803511 


255 


887406 
9.887302 


174 
174 


916104 


429 


083896 
10.08.3638 


30 

29 


9.803664 


255 


9.916362 


429 


32 


803817 


255 


887198 


174 


916619 


429 


08.3381 


28 


33 


803970 


255 


887093 


174 


916877 


429 


083123 


27 


34 


804123 


255 


886989 


174 


917134 


429 


082866 


26 


35 


804276 


254 


886885 


174 


917391 


429 


082609 


25 


36 


804428 


254 


886780 


174 


917648 


429 


082352 


24 


37 


804581 


254 


886676 


174 


917905 


429 


082095 


23 


38 


804734 


254 


886.571 


174 


918163 


428 


081837 


22 


39 


804886 


254 


886466 


174 


918420 


428 


08^.580 


21 


40 


805039 


254 


886362 


175 


918677 


428 


081323 


20 


41 


9.805191 


2.54 


9.8862.57 


175 


9.918934 


428 


10.081066 


19 


42 


805343 


253 


886152 


175 


919191 


428 


080809 


18 


43 


80.5495 


253 


886047 


175 


919448 


428 


080552 


17 


44 


805647 


2.53 


885942 


175 


919705 


428 


080295 


16 


45 


805799 


253 


885837 


175 


919962 


428 


080038 


15 


46 


805951 


253 


885732 


175 


920219 


428 


079781 


14 


47 


806103 


253 


885627 


175 


920476 


428 


079524 


13 


48 


8062.54 


253 


885522 


175 


920733 


428 


079267 


12 


49 


806406 


252 


885416 


175 


920990 


428 


079010 


11 


50 
51 


8065.57 
9.806709 


252 
2.52 


885311 


176 
176 


921247 


428 


078753 


10 
9 


9.885205 


9.921.503 


428 


10.078497 


52 


806860 


252 


885100 


176 


921760 


428 


078240 


8 


53 


807011 


252 


884994 


176 


922017 


428 


077983 


7 


54 


807163 


252 


884889 


176 


922274 


428 


077726 


6 


55 


807314 


252 


884783 


176 


922530 


428 


077470 


5 


56 


807465 


251 


884677 


176 


922787 


428 


077213 


4 


57 


807615 


251 


884572 


176 


923044 


428 


076956 


3 


58 


807766 


251 


884466 


176 


923300 


428 


076700 


2 


59 


807917 


251 


884360 


176 


923557 


427 


076443 


1 


60 


808067 


251 


8842.54 


177 


923813 


427 


076187 





n 


Cosine 




Sine 1 


Cotang. 


1 


Tan^. 


1L 



50 Degrees. 

H 



S8 



(40 Degrees.) a table of logarithmic 



M. 


1 Sine 


1 D. 


1 Cosine 1 D. 


Tanp. 


D. 


Cotang. 1 1 





9.808067 


251 


9.884254 


177 


9.923813 


427 


10.076187 


60 


1 


808218 


251 


884148 


177 


924070 


427 


075930 


59 


2 


808368 


251 


884042 


177 


924327 


427 


075673 


58 


3 


808519 


250 


883936 


177 


924583 


427 


075417 


57 


4 


808669 


250 


883829 


177 


924840 


427 


075160 


56 


5 


808819 


250 


883723 


177 


925096 


427 


074904 


55 


6 


808969 


250 


883617 


177 


925352 


427 


074648 


54 


7 


809119 


250 


883510 


177 


925609 


427 


074391 


53 


8 


809269 


250 


883404 


177 


925865 


427 


074135 


52 


9 


809419 


249 


883297 


178 


926122 


427 


073878 


51 


10 


809569 


249 


883191 


178 


926378 


427 


073622 


50 


11 


9,809718 


249 


9.883084 


178 


9.926634 


427 


10.073366 


49 


12 


809868 


249 


882977 


178 


926890 


427 


073110 


48 


13 


810017 


249 


882871 


178 


927147 


427 


072853 


47 


14 


810167 


249 


882764 


178 


927403 


427 


072597 


46 


15 


810316 


248 


883657 


178 


927659 


427 


072341 


45 


16 


810465 


248 


882550 


178 


927915 


427 


072085 


44 


1? 


810614 


248 


882443 


178 


928171 


427 


071829 


43 


18 


810763 


248 


882336 


179 


928427 


427 


071573 


42 


19 


810912 


248 


882229 


179 


928683 


427 


071317 


41 


20 
21 


811061 


248 


882121 


179 
179 


928940 


427 


071060 


40 
39 


9.811210 


248 


9.882014 


9.929196 


427 


10.070804 


22 


811358 


247 


881907 


179 


929452 


427 


070548 


38 


23 


811507 


247 


881799 


179 


929708 


427 


070292 


37 


24 


811655 


247 


881692 


179 


929964 


426 


070036 


36 


25 


811804 


247 


881584 


179 


930220 


426 


069780 


35 


26 


811952 


247 


881477 


179 


930475 


426 


069525 


34 


27 


812100 


247 


881369 


179 


930731 


426 


069269 


33 


28 


812248 


247 


881261 


180 


930987 


426 


069013 


32 


29 


812396 


246 


881153 


180 


931243 


426 


068757 


31 


30 
31 


812544 


246 


881046 
9.880938 


180 
180 


931499 
9.931755 


426 


068501 


30 
29 


9.812692 


246 


426 


10.068245 


32 


812840 


240 


880830 


180 


932010 


426 


067990 


28 


33 


812988 


246 


880722 


180 


932266 


426 


067734 


27 


34 


813135 


246 


880613 


180 


932522 


426 


067478 


26 


35 


813283 


246 


880505 


180 


932778 


426 


067222 


25 


36 


813430 


245 


880397 


180 


9-33033 


426 


066967 


24 


37 


813578 


245 


880289 


181 


933289 


426 


066711 


23 


38 


813725 


245 


880180 


181 


933545 


426 


066455 


22 


39 


813872 


245 


880072 


181 


933800 


426 


066200 


21 


40 
41 


814019 


245 


879963 
9.879855 


181 
181 


934056 


426 


065944 


20 
19 


9.814166 


245 


9.934311 


426 


10.065689 


42 


814313 


245 


879746 


181 


934567 


426 


065433 


18 


43 


814460 


244 


879637 


181 


934823 


426 


065177 


17 


44 


814607 


244 


879529 


181 


935078 


426 


064922 


16 


45 


814753 


244 


879420 


181 


935333 


426 


064667 


15 


46 


814900 


244 


879311 


181 


935589 


426 


064411 


14 


47 


815046 


244 


879202 


182 


935844 


426 


064156 


13 


48 


815193 


244 


879093 


182 


936100 


426 


063900 


12 


49 


815339 


244 


878984 


182 


936355 


426 


063645 


11 


50 

51 


815485 


243 


878875 
9.878766 


182 
182 


936610 


426 


063390 


10 
9 


9.815631 


243 


9.936866 


425 


10.063134 


52 


815778 


243 


878656 


182 


937121 


425 


062879 


8 


53 


815924 


243 


878547 


182 


937376 


425 


062624 


7 


54 


816069 


243 


878438 


182 


937632 


425 


062368 


6 


55 


816215 


243 


878328 


182 


937887 


425 


062113 


5 


56 


8163G1 


243 


878219 


183 


938142 


425 


061858 


4 


57 


816507 


242 


878109 


183 


938398 


425 


061602 


3 


58 


! 816652 


242 


877999 


183 


938653 


425 


061347 


2 


59 


816798 


242 


877890 


183 


938908 


425 


061092 


1 


60 


816943 


242 


877780 


183 


939163 


425 


060837 







Cosine 




Sine 1 


Cotang. 


■ 


Tang. 


M. 



49 Degrees. 





SINES AND TANGENTS 


(41 Degrees 


■) 


59 


M. 


Sine 


1 D. 


Cosine | D. | 


Tan^'. 1 


D. 


Cotang. ( 1 





9.816943 


242 


9.877780 


183 


9.939163 


425 


10.060837 


60 


1 


817088 


242 


877670 


183 


939418 


425 


060.582 


59 


2 


817233 


242 


877560 


183 


939673 


425 


060327 


58 


3 


817379 


242 


877450 


183 


939928 


425 


060072 


57 


4 


817524 


241 


877340 


183 


940183 


425 


059817 


56 


6 


817668 


241 


877230 


184 


940438 


425 


059562 


65 


6 


817813 


241 


877120 


184 


940694 


425 


0.59306 


54 


7 


817958 


241 


877X)10 


184 


940949 


425 


0.59051 


53 


8 


818103 


241 


876899 


184 


941204 


425 


058796 


62 


9 


818247 


241 


876789 


184 


941458 


425 


058542 


51 


10 
11 


818392 


241 


876678 


184 

184 


941714 


426 


058286 


50 
49 


9.818536 


240 


9.876568 


9.941968 


425 


10.058032 


12 


818681 


240 


876457 


184 


942223 


425 


057777 


48 


13 


818825 


240 


876347 


184 


942478 


426 


057522 


47 


14 


818969 


240 


876236 


185 


942733 


425 


057267 


46 


15 


819113 


240 


876125 


185 


942988 


425 


057012 


45 


If. 


819257 


240 


876014 


185 


943243 


425 


056757 


44 


17 


819401 


240 


875904 


185 


943498 


425 


056502 


43 


18 


819545 


239 


875793 


185 


943752 


425 


056248 


42 


19 


819089 


239 


875682 


185 


944007 


425 


055993 


41 


20 
21 


819832 


239 


875571 
9.875459 


185 
185 


944262 


425 


065738 
10.056483 


40 
39 


9.819976 


239 


9.944517 


425 


22 


820120 


239 


875348 


185 


944771 


424 


056229 


38 


23 


820263 


239 


875237 


185 


945026 


424 


054974 


37 


24 


820406 


239 


875126 


186 


945281 


424 


064719 


36 


25 


820550 


238 


875014 


186 


945535 


424 


054465 


35 


26 


820693 


238 


874903 


186 


945790 


424 


064210 


34 


27 


820836 


238 


874791 


186 


946045 


424 


053955 


33 


28 


820979 


238 


874680 


186 


946299 


424 


053701 


32 


29 


821122 


238 


874568 


186 


946554 


424 


053446 


31 


30 
31 


821265 


238 


874456 
9.874344 


186 
186 


946808 


424 


063192 
10.062937 


30 
29 


9.821407 


238 


9.947063 


424 


32 


821550 


238 


874232 


187 


947318 


424 


052682 


28 


33 


821693 


237 


874121 


187 


947572 


424 


052428 


27 


34 


821835 


237 


874009 


187 


947826 


424 


052174 


26 


35 


821977 


237 


873896 


187 


948081 


424 


051919 


26 


36 


822120 


237 


873784 


187 


948336 


424 


051664 


24 


37 


822262 


237 


873672 


187 


948590 


424 


051410 


23 


38 


822404 


237 


87.3560 


187 


948844 


424 


051156 


22 


39 


822546 


237 


873448 


187 


949099 


424 


050901 


21 


40 
41 


822688 


236 


873335 
9.873223 


187 
187 


949353 


424 


050647 


20 
19 


9.822830 


236 


9.949607 


424 


10.050393 


42 


822972 


236 


873110 


188 


949862 


424 


060138 


18 


43 


823114 


236 


872998 


188 


950116 


424 


049884 


17 


44 


823255 


236 


872885 


188 


950370 


424 


049630 


16 


45 


823397 


236 


872772 


188 


950625 


424 


049375 


15 


46 


823539 


236 


872659 


188 


950879 


424 


049121 


14 


47 


823680 


235 


872647 


188 


951133 


424 


048867 


13 


48 


823821 


235 


872434 


188 


951388 


424 


048612 


12 


49 


823963 


235 


872321 


188 


951642 


424 


048358 


11 


50 
51 


824104 


235 


872208 


188 
189 


951896 


424 


048104 


10 
9 


9.824245 


235 


9.872095 


9.952150 


424 


10.047850 


52 


824386 


235 


871981 


189 


952405 


424 


047595 


8 


53 


824527 


235 


871868 


189 


9.52659 


424 


047.341 


7 


54 


824668 


234 


871755 


189 


952913 


424 


047087 


6 


55 


824808 


234 


871641 


189 


953167 


423 


046833 


5 


56 


824949 


234 


871528 


189 


953421 


423 


046579 


4 


57 


825090 


234 


871414 


189 


9.53675 


423 


046325 


3 


58 


825230 


234 


871301 


189 


953929 


423 


046071 


2 


59 


825371 


234 


871187 


189 


954183 


423 


04.5817 


1 


60 


825511 


234 


871073 


190 


954437 


423 


045563 







1 Cosine 


1 


«ine 1 


Cotan?. 




Tang. 1 M. 1 



48 Degrees. 



60 


(42 Degrees.) a 


TABLE OF LOGARITHMIC 




M. 


1 Sine 


D. 


Copine | D. 


Tan?. 


1 D- 


Cotanp. 1 1 





9.825511 


234 


9.871073 


190 


9.954437 


423 


10.045563 


60 


1 


825651 


233 


870960 


190 


954691 


423 


045309 


59 


2 


826791 


233 


870846 


]90 


954945 


423 


045055 


58 


3 


825931 


233 


870732 


190 


955200 


423 


044800 


57 


4 


826071 


233 


870618 


190 


955454 


423 


044546 


56 


5 


826211 


233 


870504 


190 


955707 


423 


044293 


55 


6 


826351 


233 


870390 


190 


955961 


423 


044039 


54 


7 


826491 


233 


870276 


190 


956215 


423 


043785 


53 


8 


826631 


233 


870161 


190 


956469 


423 


043531 


52 


9 


826770 


232 


870047 


191 


956723 


423 


043277 


51 


10 
11 


826910 
9.827049 


232 
232 


869933 
9.869818 


191 
191 


956977 


423 


043023 
10.042769 


50 
49 


9.957231 


423 


12 


827189 


232 


869704 


191 


957485 


423 


042515 


48 


13 


827328 


232 


869589 


191 


957739 


423 


042261 


47 


14 


827467 


232 


869474 


L91 


957993 


423 


042007 


46 


15 


827606 


232 


869360 


191 


958246 


423 


041754 


45 


16 


827745 


232 


869245 


191 


958500 


423 


041500 


44 


17 


827884 


231 


8691,30 


191 


9.58754 


423 


041246 


43 


18 


828023 


231 


869015 


192 


959008 


423 


040992 


42 


19 


828162 


231 


868900 


192 


959262 


423 


040738 


41 


20 
21 


828301 


231 


868785 
9.868670 


192 
192 


959516 


423 


040484 


40 
39 


9.828439 


231 


9.9.59769 


423 


10.040231 


22 


828578 


231 


868555 


192 


960023 


423 


039977 


38 


23 


828716 


231 


868440 


192 


960277 


423 


039723 


37 


24 


828855 


230 


868324 


192 


960531 


423 


039469 


36 


25 


828993 


230 


868209 


192 


960784 


423 


039216 


35 


ne 


829131 


230 


868093 


192 


961038 


423 


038962 


34 


27 


829269 


230 


867978 


193 


961291 


423 


038709 


33 


28 


829407 


230 


867862 


193 


961545 


423 


038455 


32 


29 


829545 


230 


867747 


193 


961799 


423 


0.38201 


31 


30 
31 


829683 


230 


867631 
9.867515 


193 
193 


962052 


423 


037948 
10.037694 


30 

29 


9.829821 


229 


9.962306 


423 


32 


829959 


229 


867399 


193 


962560 


423 


037440 


28 


33 


830097 


229 


867283 


193 


962813 


423 


037187 


27 


34 


830234 


229 


867167 


193 


963067 


423 


036933 


26 


35 


830372 


229 


867051 


193 


963320 


423 


036680 


25 


36 


830509 


229 


866935 


194 


963574 


423 


036426 


24 


37 


830646 


229 


866819 


194 


963827 


423 


036173 


23 


38 


830784 


229 


866703 


194 


964081 


423 


035919 


22 


39 


830921 


228 


866586 


194 


964335 


423 


035665 


21 


40 
41 


831058 


228 


866470 
9.866353 


194 
194 


964588 


422 


035412 


20 
19 


9.831195 


228 


9.964842 


422 


10.035158 


42 


831332 


228 


866237 


194 


965095 


422 


034905 


18 


43 


831469 


228 


866120 


194 


965349 


422 


034651 


17 


44 


831606 


228 


866004 


195 


965602 


422 


034398 


16 


45 


831742 


228 


865887 


195 


965855 


422 


034145 


15 


46 


831879 


228 


805770 


195 


966109 


422 


033891 


14 


47 


832015 


227 


865653 


195 


966362 


422 


033638 


13 


48 


832152 


227 


865536 


195 


966616 


422 


033384 


12 


49 


832288 


227 


86.5419 


195 


966869 


422 


033131 


11 


50 

51 


832425 


227 


865302 
9.865185 


195 
195 


967123 


422 


032877 


10 
9 


9.832561 


227 


9.967376 


422 


10.032624 


52 


832697 


227 


865068 


195 


967629 


422 


032371 


8 


53 


832833 


227 


864950 


195 


967883 


422 


032117 


7 


54 


832969 


226 


864833 


196 


968136 


422 


031864 


6 


55 


833105 


226 


864716 


196 


968389 


422 


031611 


5 


56 


833241 


226 


864598 


196 


968643 


422 


031357 


4 


57 


833377 


226 


a«4481 


196 


968896 


422 


031104 


3 


58 


833512 


22§ 


864363 


196 


969149 


422 


030851 


2 


59 


833648 


226 


864245 


196 


969403 


422 


030597 


1 


60 


833783 


226 


864127' 196 


969656 


422 


030344 





L 


Cosine | 




Si/ie 1 


Colant;. 




Tan};. | iM. | 



47 Degrees. 





SINES AND TANGENTS 


. (43 Decrrees 


•) 


61 


rr 


Sine 


1). 


Cosine | D. 


Tan?. 


1 D. 


1 Cotang. 1 1 


^ 


9.833783 


226 


9.864127 


196 


9.969656 


422 


10.030344 60 1 


1 


833919 


225 


864010 


196 


969909 


422 


030091 


59 


2 


834054 


225 


863892 


197 


970162 


422 


029838 


58 


3 


834189 


225 


863774 


197 


970416 


422 


029584 


57 


4 


834325 


225 


863656 


197 


970669 


422 


029331 


50 


6 


834460 


225 


863538 


197 


970922 


422 


029078 


55 


6 


834595 


225 


863419 


197 


971175 


422 


028825 


54 


7 


834730 


225 


863301 


197 


971429 


422 


028571 


53 


8 


834865 


225 


863183 


197 


971682 


422 


028318 


52 


9 


834999 


224 


863064 


197 


971935 


422 


028065 


51 


10 
11 


835134 


224 


862946 


198 
198 


972188 


422 


027812 


50 
49 


9.835269 


224 


9.862827 


9.972441 


422 


10.027559 


12 


835403 


224 


862709 


198 


972694 


422 


027306 


48 


13 


835538 


224 


862590 


198 


972948 


422 


027052 


47 


14 


835672 


224 


862471 


198 


973201 


422 


026799 


46 


15 


835807 


224 


862353 


198 


973454 


422 


026546 


45 


16 


835941 


224 


862234 


198 


973707 


422 


026293 


44 


17 


836075 


223 


862115 


198 


•973960 


422 


026040 


43 


18 


836209 


223 


861996 


198 


974213 


422 


025787 


42 


19 


836343 


223 


861877 


198 


974466 


422 


025534 


41 


20 

21 


836477 


223 


861758 


199 
199 


974719 


422 


025281 
10.02.5027 


40 
39 


9.836611 


223 


9.861638 


9.974973 


422 


22 


836745 


223 


861519 


199 


975226 


422 


024774 


38 


23 


836878 


223 


861400 


199 


975479 


422 


024521 


37 


24 


837012 


222 


861280 


199 


975732 


422 


024268 


36 


25 


837146 


222 


861161 


199 


975985 


422 


024015 


35 


26 


837279 


222 


861041 


199 


976238 


422 


023762 


34 


27 


837412 


222 


860922 


199 


976491 


422 


023509 


33 


28 


837546 


222 


860802 


199 


976744 


422 


023256 


32 


29 


837679 


222 


860682 


200 


976997 


422 


023003 


31 


30 
31 


837812 


222 


860562 


200 
200 


977250 


422 


022750 


30 
29 


9.837945 


222 


9.860442 


9.977503 


422 


10.022497 


32 


838078 


221 


860322 


200 


977756 


422 


022244 


28 


33 


838211 


221 


860202 


200 


978009 


422 


021991 


27 


34 


838344 


221 


860082 


200 


978262 


422 


021738 


26 


35 


838477 


221 


859962 


200 


978515 


422 


021485 


25 


36 


838610 


221 


859842 


200 


978768 


422 


021232 


24 


37 


838742 


221 


859721 


201 


979021 


422 


020979 


23 


38 


838875 


221 


859601 


201 


979274 


422 


020726 


22 


39 


839007 


221 


859480 


201 


979527 


422 


020473 


21 


40 
41 


839140 


220 


859360 
9.859239 


201 
201 


979780 


422 


020220 


20 
19 


9.839272 


220 


9.980033 


422 


10.019967 


42 


839404 


220 


859119 


201 


980286 


422 


019714 


18 


43 


839536 


220 


8.58998 


201 


980538 


422 


019462 


17 


44 


839668 


220 


858877 


201 


980791 


421 


019209 


10 


45 


839800 


220 


858756 


202 


981044 


421 


018956 


15 


46 


839932 


220 


858635 


202 


981297 


421 


018703 


14 


47 


840064 


219 


858514 


202 


981550 


421 


018450 


13 


48 


840196 


219 


858393 


202 


981803 


421 


018197 


12 


49 


840328 


219 


858272 


202 


982056 


421 


017944 


11 


50 


840459 


219 


858151 


202 


982309 


421 


017691 


10 


51 


9.840591 


219 


9.858029 


202 


9 . 982562 


421 


10.017438 


9 


52 


840722 


219 


857908 


202 


982814 


421 


017186 


8 


53 


840854 


219 


857786 


202 


98.3067 


421 


016933 


7 


54 


840985 


219 


857665 


203 


983320 


421 


016680 


6 


55 


841116 


218 


857543 


203 


983573 


421 


016427 


5 


56 


841247 


218 


857422 


203 


983826 


421 


016174 


4 


57 


841378 


218 


857300 


203 


984079 


421 


0L5921 


3 


58 


841509 


' 218 


857178 


203 


984331 


421 


01.5669 


2 


59 


841640 


218 


857050 203 


984584 


421 


015416 


I 


60 


841771 


218 


8,56934 203 


984837 


421 


015163 







Cosine 


1 


1 Sine 1 


Colant;. 


1 


1 'iang. 1 M. 1 



4G Degrees 



62 


(44 Degrees.) a 


TABLE OP LOGARITHMIC 




M.| 


Sine 1 


D. 1 


Cosine- D. 1 


Tani;. | D. | 


Cotang. 1 1 





9.841771 


218 


9.856934 203 


9.984837 


421 


10.015163 


60 


1 


841902 


218 


856812 203 


985090 


421 


014910 


59 


2 


842033 


218 


856690 204 


985343 


421 


014657 


58 


3 


842163 


217 


856568 204 


985596 


421 


014404 


57 


4 


842294 


217 


856446 204 


985848 


421 


014152 


56 


5 


842424 


217 


856323 


204 


986101 


421 


013899 


55 


6 


842555 


217 


856201 


204 


986354 


421 


013646 


54 


7 


842685 


217 


856078 


204 


986607 


421 


013393 


53 


8 


842815 


217 


855956 


204 


986860 


421 


013140 


52 


9 


842946 


217 


855833 


204 


987112 


421 


012888 


51 


10 
11 


843076 


217 


855711 


205 
205 


987365 


421 


012635 


50 
49 


9.843206 


216 


9.855588 


9.987618 


421 


10.012382 


12 


843336 


216 


855465 


205 


987871 


421 


012129 


48 


13 


843466 


216 


855342 


205 


988123 


421 


011877 


47 


14 


843595 


216 


855219 


205 


988376 


421 


011624 


46 


15 


843725 


216 


855096 


205 


988629 


421 


011371 


45 


16 


843855 


216 


854973 


205 


988882 


421 


011118 


44 


17 


843984 


216 


854850 


205 


989134 


421 


010866 


43 


18 


844114 


215 


854727 


206 


989387 


421 


010613 


42 


19 


844243 


215 


854603 


206 


989640 


421 


010360 


41 


20 


844372 


215 


854480 


206 


989893 


421 


010107 


40 


21 


9.844502 


215 


9.854356 


206 


9.990145 


421 


10.009855 


39 


22 


844631 


215 


854233 


206 


990398 


421 


009602 


38 


23 


844760 


215 


854109 


206 


990651 


421 


009349 


37 


24 


844889 


•215 


853986 


206 


990903 


421 


009097 


36 


25 


845018 


215 


853862 


206 


991156 


421 


008844 


35 


26 


845147 


215 


853738 


206 


991409 


421 


008591 


34 


27 


845276 


214 


853614 


207 


991662 


421 


008338 


33 


28 


845405 


214 


853490 


207 


991914 


421 


008086 


32 


29 


845533 


214 


853366 


207 


992167 


421 


007833 


31 


30 
31 


845662 


214 


853242 


207 
207 


992420 


421 


007580 


30 

29 


9.845790 


214 


9.853118 


9.992672 


421 


10.007328 


32 


845919 


214 


852994 


207 


992925 


421 


007075 


28 


33 


846047 


214 


852869 


207 


993178 


421 


006822 


27 


34 


846175 


214 


852745 


207 


993430 


421 


006570 


26 


35 


846304 


214 


852620 


207 


993683 


421 


006317 


25 


36 


846432 


213 


852496 


208 


993936 


421 


006064 


24 


37 


846560 


213 


852371 


208 


994189 


421 


005811 


23 


38 


846688 


213 


852247 


208 


994441 


421 


005559 


22 


39 


846816 


213 


852122 


208 


994694 


421 


005306 


21 


40 
41 


846944 
9.847071 


213 


851997 
9.851872 


208 
208 


994947 
9.995199 


421 


005053 


20 
19 


213 


421 


10.004801 


42 


847199 


213 


851747 


208 


995452 


421 


004548 


18 


43 


847327 


213 


851622 


208 


995705 


421 


004295 


17 


44 


847454 


212 


851497 


209 


995957 


421 


004043 


16 


45 


847582 


212 


851372 


209 


996210 


421 


003790 


15 


46 


847709 


212 


851246 


209 


996463 


421 


003537 


14 


47 


847836 


212 


851121 


209 


996715 


421 


003285 


13 


48 


847964 


212 


850996 


209 


996968 


421 


003032 


12 


49 


848091 


212 


850870 


209 


997221 


421 


002779 


11 


50 


848218 


212 


850745 


209 


997473 


421 


002527 


10 


51 


9.848345 


212 


9.850619 


209 


9.997726 


421 


10.002274 


9 


52 


848472 


211 


850493 


210 


997979 


421 


002021 


8 


53 


848599 


211 


850368 


210 


998231 


421 


001769 


7 


54 


848726 


211 


850242 


210 


998484 


421 


001516 


6 


55 


848852 


211 


850116 


210 


998737 


421 


001263 


5 


56 


848979 


211 


849990 


210 


998989 


421 


001011 


4 


57 


849106 


211 


849864 


210 


999242 


421 


000758 


3 


58 


849232 


211 


849738 


210 


999495 


421 


000505 


2 


59 


849359 


211 


849611 


210 


999748 


421 


000253 


1 


60 


849485 


211 


849485 


210 


10.000000 


421 


000000 





"" 


Cosine 




Sine. 1 


Cotang. 1 


Tang. 1 M. j 



A TRAVERSE TABI.E, 

SHOWING THE DIFFERENCE OF 

liATITUDE AND DEPARTURE 

FOB DISTANCES BETWEEN 1 AND 100, AND FOR ANGLES 
TO QUARTER DEGREES BETWEEN 1" AND 9"^ 



TRAVERSE TABLE. 



1 


iDeg. 

1 


iDeg. 


IDeg. 


1 


Lat. 


Dep. 
0.00 


Lat. 


Dep. 

0.01 


Lat. 


Dep. 

0.01 


1 


1.00 


1.00 


1.00 


2 


2.00 


0.01 


2.00 


0.02 


2.00 


0.03 


2 


3 


3.00 


0.01 


3.00 


0.03 


3.00 


0.04 


3 


4 


4.00 


0.02 


4.00 


0.03 


4.00 


0.05 


4 


5 


5.00 


0.02 


5.00 


0.04 


5.00 


0.07 


5 


6 


6.00 


0.03 


6.00 


0.05 


6.00 


0.08 


6 


7 


7.00 


0.03 


7.00 


0.06 


7.00 


0.09 


7 


8 


8.00 


0.03. 


8.00 


0.07 


8.00 


0.10 


8 


9 


9.00 


0.04 


9.00 


0.08 


9.00 


0.12 


9 


10 
11 


10.00 
11.00 


0.04 
0.05 


10.00 
11.00 


0.09 
0.10 


10.00 
11.00 


0.13 


10 
1-1 


0.14 


12 


12.00 


0.05 


12.00 


0.10 


12.00 


0.16 


12 


13 


13.00 


0.06 


13.00 


0.11 


13.00 


0.17 


13 


14 


14.00 


0.06 


14.00 


0.12 


14.00 


0.18 


14 


15 


15.00 


0.07 


15.00 


0.13 


15.00 


0.20 


15 


16 


16.00 


0.07 


16.00 


0.14 


16.00 


0.21 


16 


17 


17.00 


0.07 


17.00 


0.15 


17.00 


0.22 


17 


18 


18.00 


0.08 


18.00 


0.16 


18.00 


0.24 


18 


19 


19.00 


0.08 


19.00 


0.17 


19.00 


0.25 


19 


20 
21 


20.00 
21.00 


0.09 
0.09 


20.00 
21.00 


0.17 
0.18 


20.00 
21.00 


0.26 


20 
21 


0.27 


22 


22.00 


0.10 


•22.00 


0.19 


22.00 


0.29 


22 


23 


23.00 


0.10 


23.00 


0.20 


23.00 


0..S0 


23 


24 


24.00 


0.10 


24.00 


0.21 


24.00 


0.31 


24 


25 


25.00 


0.11 


25.00 


0.22 


25.00 


0.33 


25 


26 


26.00 


0.11 


26.00 


0.23 


26.00 


0.34 


26 


27 


27.00 


0.12 


27.00 


0.24 


27.00 


0.35 


27 


28 


28.00 


0.12 


28.00 


0.24 


28.00 


0.37 


28 


29 


29.00 


0.13 


29.00 


0.25 


29.00 


0.38 


29 


30 


30.00 


0.13 


30.00 


0.26 


30.00 


0.39 


30 


31 


31.00 


0.14 


31.00 


0.27 


31.00 


0.41 


31 


32 


32.00 


0.14 


32.00 


0.28 


32.00 


0.42 


32 


33 


33.00 


0.14 


33.00 


0,29 


33.00 


0.43 


33 


34 


34.00 


0.15 


34.00 


0.30 


34.00 


0.45 


34 


35 


35.00 


0.15 


35.00 


0.31 


35.00 


0.46 


35 


36 


36.00 


0.16 


36.00 


0.31 


36.00 


0.47 


36 


37 


37.00 


0.16 


37.00 


0.32 


37.00 


0.48 


37 


38 


38.00 


0.17 


38.00 


• 0.33 


38.00 


0.50 


38 


39 


39.00 


0.17 


39.00 


0.34 


39.00 


0.51 


39 


40 
41 


40.00 


0.17 
0.18 


40.00 
41.00 


0.35 
0.36 


40.00 
41.00 


0.52 
0.54 


40 
41 


41.00 


42 


42.00 


0.18 


42.00 


0.37 


42.00 


0.55 


42 


43 


43.00 


0.19 


43.00 


0.38 


43.00 


0.56 


43 


44 


44.00 


0.19 


44.00 


0.38 


44.00 


0.58 


44 


45 


45.00 


0.20 


45.00 


0.39 


45.00 


0.59 


45 


46 


46.00 


0.20 


46.00 


0.40 


46.00 


0.60 


46 


47 


47.00 


0.21 


47.00 


0.41 


47.00 


0.62 


47 


48 


48.00 


0.21 


48.00 


0.42 


48.00 


0.63 


48 


49 


49.00 


0.21 


49.00 


0A3 


49.00 


0.64 


49 


60 


50.00 
Dep. 

891 


0.22 
Lat. 

Deg. 


50.00 
Dep. 


0.44 
Lat. 


50.00 
Dep. 


0.65 
Lat. 


50 

m 

Q 


6 
u 

§ 

.2 


m 


Deg. 


89i Deg. 



TRAVERSE T.^BLE. 



o 

S' 
a 
? 
61 


iDeg. 


i 


Deg. 


^Deg. 


5' 

n 

? 

~51 


Lat. 


Dep. 
0.22 


Lat. 


Dep. 

0.45 


Lat. 


Dep. 
0.67 


61.00 


61.00 


51.00 


62 


62.00 


0.23 


52.00 


0.45 


62.00 


0.68 


62 


63 


63.00 


0.23 


53.00 


0.46 


63.00 


0.69 


63 


64 


64.00 


0.24 


54.00 


0.47 


64.00 


0.71 


64 


65 


65.00 


0.24 


55.00 


0.48 


55.00 


0.72 


65 


6G 


56.00 


0.24 


66.00 


0.49 


56.00 


0.73 


66 


67 


67.00 


0.26 


67.00 


0.50 


57.00 


0.75 


67 


68 


58.00 


0.26 


68.00 


0.61 


67.99 


0.76 


58 


69 


69.00 


0.26 


69.00 


0.61 


58.99 


0.77 


59 


60 


60.00 


0.26 


60.00 


0.62 


59.99 


0.79 


60 


61 


61.00 


0.27 


61.00 


0.53 


60.99 


0.80 


H 


62 


62.00 


0.27 


62.00 


0.64 


61.99 


0.81 


62 


63 


63.00 


0.27 


63.00 


0.65 


62.99 


0.82 


63 


64 


64.00 


0.28 


64.00 


0.56 


63.99 


0.84 


64 


65 


65.00 


0.28 


65.00 


0.57 


64.99 


0.85 


66 


66 


66.00 


0.29 


66.00 


0.68 


65.99 


0.86 


66 


67 


67.00 


0.29 


67.00 


0.68 


66.99 


0.88 


67 


68 


68.00 


0.30 


68.00 


0.69 


67.99 


0.89 


68 


69 


69.00 


0.30 


69.00 


0.60 


68.99 


0.90 


69 


70 
71 


70.00 


0.31 
0.31 


70.00 
71.00 


0.61 


69.99 
70.99 


0.92 
0.93 


70 
71 


71.00 


0.62 


72 


72.00 


0.31 


72.00 


0.63 


71.99 


0.94 


72 


73 


73.00 


0.32 


73.00 


0.64 


72.99 


0.96 


73 


74 


74.00 


0.32 


74.00 


0.65 


73.99 


0.97 


74 


75 


75.00 


0.33 


75.00 


0.65 


74.99 


0.98 


75 


76 


76.00 


0.33 


76.00 


0.66 


76.99 


0.99 


76 


77 


77.00 


0.34 


77.00 


0.67 


76.99 


1.01 


77 


78 


78.00 


0.34 


78.00 


0.68 


77.99 


1.02 


78 


79 


79.00 


0.34 


79.00 


0.69 


78.99 


1.03 


79 


80 
81 


80.00 
81.00 


0.35 


80.00 
81.00 


0.70 


79.99 
80.99 


1.05 


80 
81 


0.35 


0.71 


1.06 


82 


82.00 


0.36 


82.00 


0.72 


81.99 


1.07 


82 


83 


83.00 


0.36 


83.00 


0.72 


82.99 


1.09 


83 


84 


84.00 


0.37 


84.00 


0.73 


83.99 


1.10 


84 


85 


85.00 


0.37 


85.00 


0.74 


84.99 


1.11 


85 


86 


86.00 


0.38 


86.00 


0.75 


85.99 


1.13 


86 


87 


87.00 


0.38 


87.00 


0.76 


86.99 


1.14 


87 


88 


88.00 


0.38 


88.00 


0.77 


87.99 


1.15 


88 


89 


89.00 


0.39 


89.00 


0.78 


88.99 


1.16 


89 


90 
91 


90.00 


0.39 
0.40 


90.00 
91.00 


0.79 


89.99 
90.99 


1.18 


90 
91 


91.00 


0.79 


1.19 


92 


92.00 


0.40 


92.00 


0.80 


91.99 


1.20 


92 


93 


93.00 


0.41 


93.00 


0.81 


92.99 


1.22 


93 


94 


94.00 


0.41 


94.00 


0.82 


93.99 


1.23 


94 


95 


95.00 


0.41 


95.00 


0.83 


94.99 


1.24 


95 


96 


96.00 


0.42 


96.00 


0.84 


95.99 


1.26 


96 


97 


97.00 


0.42 


97.00 


0.85 


96.99 


1.27 


97 


98 


98.00 


0.43 


98.00 


0.86 


97.99 


1.28 


98 


99 


99.00 


0.43 


99.00 


0.86 


98.99 


1.30 


99 


100 

1 

Q 


100.00 


0.44 
Lat. 


100.00 
Dep. 


0.87 
Lat. 


99.99 
Dep. 


1.31 


100 

.2 


Dep. 


Lat. 


m 


Deg. 


89^1 


)eg. 


89i Deg. 



TRAVERSE TABLE. 



p 

~1 


iDeg. 


n Deg. 


U Deg. 


U Deg. 


2 


Lat. 


Dep. 


Lat. 
1.00 


Dep. 
0.02 


Lat. 1 


Dep. 


Lat. 


Dep. 


1.00 


0.02 


1.00 


0.03 


1.00 


0.03 


1 


2 


2.00 


0.03 


2.00 


0.04 


2.00 


0.05 


2.00 


0.06 


2 


3 


3.00 


0.05 


3.00 


0.07 


3.00 


0.08 


3.00 


0.09 


3 


4 


4.00 


0.07 


4.00 


0.09 


4.00 


0.10 


4.00 


0.12 


4 


5 


5.00 


0.09 


5.00 


0.11 


5.00 


0.13 


5.00 


0.15 


5 


fi 


6.00 


0.10 


6.00 


0.13 


6.00 


0.16 


6.00 


0.18 


6 


7 


7.00 


0.12 


7.00 


0.15 


7.00 


0.18 


7.00 1 0.21 1 


1 


S 


8.00 


0.14 


8.00 


0.17 


8.00 


0.21 


8.00 


0.25 


8 


9 


9.00 


0.16 


9.00 


0.20 


9.00 


0.24 


9.00 


0.28 


9 


10 10.00 

11 1 11.00 


0.17 
0.19 


10.00 


0.22 


10.00 


0.26 


10.00 


0.31 


10 


11.00 


0.24 


11.00 


0.28 


10.99; 0.34 


11 


12 12.00 


0.21 


12.00 


0.26 


12.00 


0.31 ; 


11.99 1 0.37 12 


13 1 13.00 


0.23 


13.00 


0.28 


13.00 


0.34 1 


12.99! 0.40 13 


11 14.00 


0.24 


14.00 


0.31 


14.00 


0.37' 


13.99 1 0.43 1 14 


1.5 j 15.00 


0.26 


.15.00 


0.33 


14.99 


0.39! 


14.99 0.46 15 


16 1 16.00 


0.28 


; 16.00 


0..35 


15.99 


0.42 


15.99' 0.49 16 


17 17.00 


0.30 


1 17.00 


0.37 


16.99 


0.45 


16.99' 0.52 1 17 


IS ■ IS. 00 


0.31 


118.00 


0.39 


17.99 


0.47 


17.99: 0.55 IS 


19 ' 19.00 


0.33 


i 19.00 


0.41 


18.99 


0.50 


18.99 0..5S 19 


20 20.00 

21 . 21.00 


0.35 
0.37 


20.00 
21.00 


0.44 
0.46 


19.99 


0.52 


19.99 1 0.61 20 
20.99; 0.64 21 


20.99 


0..55 


22 22.00 


0.38 


21.99 


0.48 


,21.99 


0.58 


21.99 1 0.67 22 


23 ' 23.00 


0.40 


; 22.99 


0.50 


122.99 


0.60 


22.99! 0.70 23 


24 24.00 


0.42 


23.99 


0.52 


i 23.99 


0.63 


23.99] 0.73! 24 


25 25.00 


0.44 


.24.99 


0.55 


124.99 


0.G5 


24.99 0.76! 25 


26 i 26 . 00 


0.45 


25.99 


0.57 


125.99 


0.68 


25.99 0.79 i 26 


27 27.00 


0.47 


'26.99 


0..59 


} 26.99 


0.71 


26.99 0.83 


27 


28 i 28.00 


0.49 


'27.99 


0.61 


127.99 


0.73 


27.99 0.86 


28 


29 1 29 . 00 


0.51 


28.99 


0.63 


28.99 


0.76 


; 28.99' 0.89 


29 


30 1 30.00 

31 31.00 


0.52 
0..54 


29.99 
30.99 


0.65 
0.6S 


29.99 


0.79 


29.99! 0.92 


30 


30.99 


0.81 


30.99; 0.95 


31 


32 32.00 


0.56 


31.99 


0.70 


i31.99 


0.84 


,31.991 0.98 


32 


33 32.99 


0.58 


32.99 


0.72 


32.99 


0.86 


! 32.98' 1.01 


33 


34 33.99 


0.59 


33.99 


0.74 


33.99 


0.89 


'33.98: 1.04 


34 


35 , 34.99 


0.61 


34.99 


0.76 


I 34.99 


0.92 


34.98 1.07 


35 


36 35.99 


0.63 


35.99 


0.79 


: 35.99 


0.94 


35.98 1.10 


36 


37 36.99 


0.65 


36.99 


0.81 


I 36.99 


0.97 


36.98 1.13 


37 


3S 37.99 


0.66 


37.99 


0.83 


1 37.99 


0.99 


37.98 1.16 


38 


39' 38.99 


0.68 


38.99 


0.85 


38.99 


1.02 


3S.9S 1.19 


39 


40 1 39 . 99 

41 (40.99 


0.70 
0.72 


39.99 
1 40.99 


0.87 
, 0.89 


139.99 


1.05 
' 1.07 


39.98 1.22 


40 
41 


140.99 


40.98 1.25 


42 41.99 


0.73 


41.99 


; 0.92 


' 41.99 


1.10 


41.98 1.28 


42 


43 i 42.99 


0.75 


■42.99 


1 0.94 


42.99 


1.13 


42.98 1.31 


43 


44 43.99 


0.77 


; 43.99 


1 0.96 


143.99 
144.99 


1.15 


43.98 1.34 


44 


45 44.99 


0.79 


1 44.99 


I 0.98 


1.18 


44.98 1.37 


45 


46 45.99 


0.80 


1 45.99 


1 1.00 


'45.99 


1.20 


45.98 1.40 


46 


47:46.99 


0.82 


! 46.99 


1 1.03 


146.99 


1.23 


46.98 1.44 


47 


48 '47.99 


0.84 


i' 47.99 


i 1.05 


47.98 


1.26 


47.98 1.47 


48 


49 48.99 


0.86 


'48.99 


1.07 


48.98 


1.28 


,43.98 1.50 


49 


50 49.99 


' 0.87 


49.99 


1.09 


49.98 


1.31 


'49.98 1.53 


50 


o 
c 


: Dep, 


Lat. 


1 Dep. 


Lat. 


Dep. 


Lat. 

1 


' Dep. Lat. 


\i 


1 


' C9 


Deg. 




Deg. 


88^ 


De^. 


88i Deg. 


I 1 



TRAVEKSE TABLE. 



5 

So' 

a 
? 
51 


1 Deg. 


U Deg. 


H Deg. 


lIDeg. 


D 
n 
? 

~51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50.99 


0.89 


60.99 


1.11 


60.98 


1.34 


50.98 


1.66 


62 


51.99 


0.91 


61.99 


1.13 


51.98 


1.36 


61.98 


1.69 


52 


63 


62.99 


0.92 


62.99 


1.10 


62.98 


1.39 


52.98 


1.62 


63 


64 


53.99 


0.94 


63.99 


1.18 


63.98 


1.41 


63.97 


1.66 


54 


56 


54.99 


0.96 


64.99 


1.20 


54.98 


1.44 


54.97 


1.68 


56 


56 


56.99 


0.98 


55.99 


1.22 


55.98 


1.47 


56.97 


1.71 


66 


57 


66.99 


0.99 


56.99 


1.24 


56.98 


1.49 


66.97 


1.74 


67 


58 


57.99 


1. 01 
1.03 i 


57.99 


1.27 


67.98 


1.52 


57.97 


1.77 


58 


59 


68.99 


58.99 


1.29 


58.98 


1.64 


68.97 


1.80 


69 


60 


69.99 


1.06 j 


69.99 


1,31 


69.98 


1.57 


69.97 


1.83 


60 


61 


60.99 


1.06 1 


60.99 


1.33 


60.98 


1.60 


60.97 


1.86 


61 


62 


61.99 


1.08 


61.99 


1.35 


61.98 


1.62 


61.97 


1.89 


62 


63 


62.99 \ 


1.10 


62.99 


1.37 


62.98 


1.65 


62.97 


1.92 


63 


64 


63.99 


1.12 


63.98 


1.40 


63.98 


1.68 


63.97 


1.95 


64 


66 


64.99 


1.13 


64.98 


1.42 


64.98 


1.70 


64.97 


1.99 


66 


66 


65.99 


1.16 


66.98 


1.44 


65.98 


1.73 


66.97 


2.02 


66 


67 


66.99 


1.17 


66.98 


1.46 


66.98 


1.76 


66.97 


2.06 


67 


68 


67.99 


1.19 


67.98 


1.48 


67.98 


1.78 


67.97 


2.08 


68 


6 'J 


68.99 


1.20 


68.98 


1.61 


68.98 


1.81 


68.97 


2.11 


69 


70 
71 


69.99 


1.22 


69.98 


1..63 


69.98 


1.83 


69.97 


2.14 


70 
71 


70.99 


1.24 


70.98 


1.56 


70.98 


1.86 


70.97 


2.17 


72 


71.99 


1.26 


71.98 


1.67 


71.98 


1.88 


71.97 


2.20 


72 


73 


72.99 


1.27 


72.98 


1.59 


72.97 


1.91 


72.97 


2.23 


73 


74 


73.99 


1.29 


73.98 


1.61 


73.97 


1.94 


73.97 


2.26 


74 


75 


74.99 


1.31 


74.98 


1.64 


74.97 


1.96 


74.97 


2.29 


75 


76 


75.99 


1.33 


75.98 


1.66 


75.97 


1.99 


75.96 


2.32 


76 


77 


76.99 


1.34 


76.98 


1.68 


76.97 


2.02 


76.96 


2.35 


77 


78 


77.99 


1.36 


77.98 


1.70 


77.97 


2.04 


77.96 


2.38 


78 


79 


78.99 


1.38 


78.98 


1.72 


78.97 


2.07 


78.96 


2.41 


79 


80 
81 


79.99 
80.99 


1.40 
].4l 


79.98 


1.75 


79.97 


2.09 


79.96 


2.44 


80 


80.98 


1.77 


80.97 


2.12 


80.96 


2.47 


81 


82 


81.99 


1.43 


81.98 


1.79 


81.97 


2.16 


81.96 


2.50 


82 


83 


82.99 


1.45 


82.98 


1.81 


82.97 


2.17 


82.96 


2.53 


83 


84 


83.99 


1.47 


83.98 


1.83 


83.97 


2.20 


83.96 


2.57 


84 


85 


84.99 


1.48 


84.98 


1.86 


84.97 


2.23 


84.96 


2.60 


86 


86 


85.99 


1.50 


85.98 


1.88 


85.97 


2.26 


85.96 


2.63 


86 


87 


86.99 


1.62 


86.98 


1.90 


86.97 


2.28 


86.96 


2.66 


87 


88 


87.99 


1.54 


87.98 


1.92 


87.97 


2.30 


87.96 


2.69 


88 


89 


88.99 


1.65 


88.98 


1.94 


88.97 


2.33 


88.96 


2.72 


89 


90 


89.99 


1.57 


89.98 


1.96 


89.97 


2.36 


89.96 


2.75 


90 


91 


90.99 


1.59 


90.98 


1.99 


90.97 


2.38 


90.96 


' 2.78 


91 


92 


91.99 


1.61 


91.98 


2.01 


91.97 


2.41 


91.96 


2.81 


92 


93 


92.99 


1.62 


92.98 


2.03 


92.97 


2.43 


92.96 


2.84 


93 


94 


93.99 


1.64 


93.98 


2.05 


93.97 


2.46 


93.96 


2.87 


94 


95 


94.99 


1.66 


94.98 


2.07 


94.97 


2.49 


94.96 


2.90 


95 


96 


95.99 


1.68 


95.98 


2.09 


96.97 


2.51 


96.96 


2.94 


96 


97 


96.99 


1.69 


96.98 


2.12 


96.97 


2.54 


96.95 


2.96 i 97| 


98 


97.99 


1.71 


97.98 


2.14 


97.97 


2.57 


97.95 


2.99 


98 


99 


98.98 


1.73 


98.98 


2.16 


98.97 


2.59 


98.95 


3.02 


99 


100 

Q 


99.98 


1.75 


99.98 


2.18 


99.97 


2.62 


99.95 


3.05 
Lat. 


100 

s 

c 

s 

Q 
1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


89 1 

1 


Deg. 


881 


Deg. 


881 


Deg. 


88i Deg. 



TRAVERSE TABLE. 



3 
P 


2Deg. 


2i Deg. 


H Deg. 


21 Deg. 


% 

3 
o 
9 


Lai. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


1.00 


0.03 


1.00 


0.04 


1.00 


0.04 


1.00 


0.05 


1 


2 


2.00 


0.07 


2.00 


0.08 


2.00 


0.09 


2.00 


0.10 


2 


Q 


3.00 


0.10 


3.00 


0.12 


3.00 


0.13 


3.00 


0.14 


3 


4 


4.00 


0.14 


4.00 


0.16 


4.00 


0.17 


4.00 


0.19 


4 


5 


5.00 


0.17 


5.00 


0.20 


5.00 


0.22 


4.99 


0.24 


5 


6 


6.00 


0.21 


6.00 


0.24 


5.99 


0.26 


5.99 


0.29 


6 


7 


7.00 


0.24 


6.99 


0.27 


6.99 


0.31 


6.99 


0.34 


7 


8 


7.99 


0.28 


7.99 


0.31 


7.99 


0.35 


7.99 


0.38 


8 


9 


8.99 


0.31 


8.99 


0.35 


8.99 


0.39 


8.99 


0.43 


9 


10 


9.99 


0.35 


9.99 


0.39 


9.99 


0.44 


9.99 


0.48 


10 


n 


10.99 


0.38 


10.99 


0.43 


10.99 


0.48 


10.99 


0.53 


11 


12 


11.99 


0.42 


11.99 


0.47 


11.99 


0.52 


11.99 


0.58 


12 


13 


12.99 


0.45 


12.99 


0.51 


12.99 


0.57 


12.99 


0.62 


13 


14 


13.99 


0.49 


13.99 


0.55 


13.99 


0.61 


13.98 


0.67 


14 


15 


14.99 


0.52 


14.99 


0.59 


14.99 


0.65 


14.98 


0.72 


15 


16 


15.99 


0.56 


15.99 


0.63 


15.99 


0.70 


15.98 


0.77 


16 


17 


16.99 


0.59 


16.99 


0.67 


16.98 


0.74 


16.98 


0.82 


17 


18 


17.99 


0.63 


17.99 


0.71 


17.98 


0.79 


17.98 


0.86 


18 


19 


18.99 


0.66 


18.99 


0.75 


18.98 


0.83 


18.98 


0.91 


19 


20 


19.99 


0.70 


19.98 


0.79 


19.98 


0.87 


19.98 


0.96 


20 


21 


20.99 


0.73 


20.98 


0.82 


20.98 


0.92 


20.98 


1.01 


21 


22 


21.99 


0.77 


21.98 


0.86 


21.98 


0.96 


21.97 


1.06 


22 


23 


22.99 


0.80 


22.98 


0.90 


22.98 


1.00 


22.97 


1.10 


23 


24 


23.99 


0.84 


23.98 


0.94 


23.98 


1.05 


'23.97 


1.15 


24 


25 


24.98 


0.87 


24.98 


0.98 


24.98 


1.09 


24.97 


1.20 


25 


26 


25.98 


0.91 


25.98 


1.02 


25.98 


1.13 


25.97 


1.25 


26 


27 


26.98 


0.94 


26.98 


1.06 


26.97 


1.18 


26.97 


1.30 


27 


28 


27.98 


0.98 


27.98 


1.10 


27.97 


1.22 


27.97 


1.34 


28 


29 


28.98 


1.01 


28.98 


1.14 


28.97 


1.26 


28.97 


1.39 


29 


30 
31 


29.98 


1.05 


29.98 


1.18 


29.97 


1.31 


129.97 


1.44 


30 
31 


30.98 


1.08 


30.98 


1.22 


30.97 


1.35 


1 30.96 


1.49 


32 


31.98 


1.12 


31.98 


1.26 


31.97 


1.40 


'31.96 


1.54 


32 


33 


32.98 


1.15 


32.97 


1.30 


32.97 


1.44 


32.96 


1.58 


33 


34 


33.98 


1.19 


33.97 


1.33 


33.97 


1.48 


33.96 


1.63 


34 


35 


34.98 


1.22 


34.97 


1.37 


34.97 


1.53 


34.96 


1.68 


35 


36 


35.98 


1.26 


.35.97 


1.41 


35.97 


1.57 


35.96 


1.73 


36 


37 


36.98 


1.29 


36.97 


1.45 


36.96 


1.61 


36.96 


1.78 


37 


38 


37.98 


1.33 


37»97 


1.49 


37.96 


1.66 


37.96 


1.82 


38 


39 


38.98 


1.36 


38.97 


1.53 


38.96 


1.70 


38.96 


1.87 


39 


40 


39.98 


1.40 


39.97 


1.57 


39.96 


1.75 


39.95 


1.92 


40 


41 


40.98 


1.43 


40.97 


1.61 


40.96 


1.77 


40.95 


1.97 


41 


42 


41.97 


1.47 


41.97 


1.65 


41.96 


1.83 


41.95 


2.02 


42 


43 


42.97 


1.50 


42.97 


1.69 


42.96 


1.88 


42.95 


2.06 


43 


44 


43.97 


1.54 


43.97 


1.73 


43.96 


1.92 


43.95 


2.11 


44 


45 


44.97 


1.57 


44.97 


1.77 


44.96 


1.96 


44.95 


2.16 


45 


46 


45.97 


1.61 


45.96 


1.81 


45.96 


2.01 


45.95 


2.21 


46 


47 


46.97 


1.64 


46.96 


1.85 


46.96 


2.05 


46.95 


2.25 


47 


48 


47.97 


1.68 


47.96 


1.88 


47.95 


2.09 


47.95 


2.30 


48 


49 


48.97 


1.71 


48.96 


1.92 


48.95 


2.14 


48.94 


2.35 


49 


50 


49.97 


1.74 


49.96 


1.96 
Lat. 

Deg. 


49.95 


2.18 


49.94 


2.40 


50 

6 
o 
c 
S 

G 


i 


Dep. 


Lat. 


Dep. 

87| 


Dep. 


Lat. 


Dep. 


Lat. 


88] 


Deg. 


871 


Deg. 


87i 


Deg. 



TBAVERSE TABLE. 



§ 


2Deg. 


n Deg. 


2^ 


Deg. 


21 Deg. 


So' 

a 
? 
51 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




50.97 


1.78 


50.96 


2.00 


50.95 


2.22 


50.94 


2.45 




52 


51.97 


1,81 


51.96 


2.04 


51.95 


2.27 


51.94 


2.50 


52 




53 


52.97 


1,85 


52.96 


2.08 


52.95 


2.31 


52.94 


2.54 


53 




54 


53.97 


1.88 


53.96 


2.12 


53.95 


2.36 


53.94 


2.59 


54 




55 


54.97 


1.92 


54.96 


2.16 


54.95 


2.40 


54.94 


2.64 


55 




56 


55.97 


1.95 


55.96 


2.20 


55.95 


2.44 


55.94 


2.89 


56 




57 


56.97 


1.99 


56.96 


2.24 


56.95 


2.49 


56.93 


2.73 


57 




58 


57.96 


2.02 


57.96 


2.28 


57.94 


2.53 


57.93 


2.78 


58 




59 


58.96 


2.06 


58.95 


2.32 


58.94 


2.57 


58.93 


2.83 


59 




60 
61 


.59.96 


2.09 


59.95 


2.36 
2.39 


59.94 


2.62 
2.66 


59.93 


2.88 


60 
61 




60.96 


2.13 


60,95 


60.94 


60.93 


2.93 




62 


61.96 


2.16 


61.95 


2.43 


61.94 


2.70 


61.93 


2.97 


62 




63 


62.96 


2.20 


62.95 


2.47 


62.94 


2.75 


62.93 


3.02 


63 




64 


63.96 


2.23 


63.95 


2.51 


63.94 


2.79 


63.93 


3.07 


64 




65 


64.96 


2.27 


64.95 


2.. 55 


64.94 


2.84 


64.93 


3.12 


65 




66 


65.96 


2.30 


65.95 


2.59 


65.94 


2.88 


65.92 


3.17 


66 




67 


66.96 


2.34 


66.95 


2.63 


66.94 


2.92 


66.92 


3.21 


67 




68 


67.96 


2.37 


67.95 


2.67 


67.94 


2.97 


67.92 


3.28 


68 




69 


68.96 


2.41 


68.95 


2.71 


68.93 


3.01 


68.92 


3.31 


69 




70 
71 


69.96 


2.44 


69.95 


2.75 


69.93 


3.06 


69.92 
70.92 


3.36 
3.41 


70 
71 




70.96 


2.48 


70.95 


2.79 


70.93 


3.10 




72 


71.96 


2.51 


71.94 


2.83 


71.93 


3.14 


71.92 


3.45 


72 




73 


72.96 


2.55 


72.94 


2.87 


72.93 


3.18 


72.92 


3.50 


73 




74 


73.95 


2.58 


7a. 94 


2.91 


73.93 


3.23 


73.91 


3.55 


74 




75 


74.95 


2.62 


74.94 


2.94 


74.93 


3.27 


74.91 


3.60 


75 




76 


75.95 


2.65 


75.94 


2.98 


75.93 


3.31 


75.91 


3.65 


76 




77 


76.95 


2.69 


76.94 


3.02 


76.93 


3.36, 


76.91 


3.70 


77 




78 


77.95 


2.72 


77.94 


3.06 


77.93 


3.40 


77.91 


3.74 


78 




79 


78.95 


2.76 


78.94 


3.10 


78.92 


3.45 


78.91 


3.79 


79 




80 
81 


79.95 


2.79 


79.94 


3.14 


79.92 


3.49 


79.91 


3.84 


80 
81 




80.95 


2.83 


80.94 


3.18 


80.92 


3.53 


80.91 


3.89 




82 


81.95 


2.86 


81.94 


a. 22 


81.92 


3.58 


81.91 


3.93 


82 




83 


82.95 


2.90 


82.94 


a. 26 


82.92 


3.62 


82.90 


3.98 


83 




84 


83.95 


2.93 


83.94 


3.30 


83.92 


3.66 


83.90 


4.03 


84 




85 


84.95 


2.97 


84.93 


3.34 


84.92 


3.71 


84.90 


4.08 


85 




86 


85.95 


3.00 


85.93 


3.38 


85.92 


3.75 


85.90 


4.13 


86 




87 


86.95 


3.04 


86.93 


3.42 


86.92 


3.79 


86.90 


4.17 


87 




88 


87.95 


3.07 


87.93 


3.45 


87.92 


3.84 


87.90 


4.22 


88 




89 


88.95 


3.11 


88.93 


3.49 


88.92 


3.88 


88.90 


4.27 


89 




_90 
91 


89.95 


3.14 


89.93 


3.. 53 


89.91 


3.93 


89.90 


4.32 


90 
91 




90.95 


3.18 


90.93 


3.57 


90.91 


3.97 


90.90 


4.37 




92 


91.94 


3.21 


91.93 


3.61 


91.91 


4.01 


91.89 


4.41 


92 




93 


92.94 


3.25 


92.93 


3.65 


92.91 


4.06 


92.89 


4.46 


93 




94 


93.94 


3.28 


93.93 


3.69 


93.91 


4.10 


93.89 


4.51 


94 




95 


94.94 


3.32 


94.93 


3.73 


94.91 


4.14 


94.89 


4.56 


95 




96 


95.94 


3.35 


95.93 


3.77 


95.91 


4.19 


95.89 


4.61 


96 




97 


96.94 


3.. 39 


96.93 


3.81 


96.91 


4.23 


96.89 


4.65 


97 




98 


97.94 


3.42 


97.92 


3.85 


97.91 


4.27 


97.89 


4.70 


98 




99 


98.94 


a. 46 


98.92 


3.89 


98.91 


4.32 


98.89 


4.75 


99 




1 Distance, o 


99.94 


3.49 


99.92 


3.93 


99.91 


4.36 


99.88 


^.8^ 


100 

i 

P 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




88 1 


)eg. 


871 Deg. 


871] 


Deg. 


87i Deg. 





TRAVERSE TABLE. 



§ 

1 


3Deg. 


3i Deg. 


3i Deg. 


3f Deg. 


2 

i 

1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1.00 


0.05 


1.00 


0.06 


1.00 


0.06 


1.00 


0.06 


2 


2.00 


0.10 


2.00 


0.11 


2.00 


0.12 


2.00 


0.13 


2 


3 


3.00 


0.16 


3.00 


0.17 


2.99 


0.18 


2.99 


0.20 


3 


4 


3.99 


0.21 


3.99 


0.23 


3.99 


0.24 


3.99 


0.26 


4 


5 


4.99 


0.26 


4.99 


0.28 


4.99 


0.31 


4.99 


0.33 


5 


6 


5.99 


0.31 


5.99 


0.34 


5.99 


0.37 


5.99 


0.39 


6 


7 


6.99 


0.37 


6.99 


0.40 


6.99 


0.43 


6.99 


0.46 


7 


8 


7.99 


0.42 


7.99 


0.45 


7.99 


0.49 


7.98 


0.52 


8 


9 


8.99 


0.47 


8.99 


0.51 


8.98 


0.55 


8.98 


0.59 


9 


10 
11 


9.99 


0.52 


9.98 


0.57 


9.98 


0.61 


9.98 


0.65 


10 
11 


10.98 


0.58 


10.98 


0.62 


10.98 


0.67 


10.98 


0.72 


12 


11.98 


0.63 


11.98 


0.68 


11.98 


0.73 


11.97 


0.78 


12 


13 


12.98 


0.68 


12.98 


0.73 


12.98 


0.79 


12.97 


0.85 


13 


14 


13.98 


0.73 


13.98 


0.79 


13.97 


0.85 


13.97 


0.92 


14 


15 


14.98 


0.79 


14.98 


0.85 


14.97 


0.92 


14.97 


0.98 


15 


16 


15.98 


0.84 


15.97 


0.91 


15.97 


0.98 


15.97 


1.05 


16 


17 


16.98 


0.89 


16.97 


0.96 


16.97 


1.04 


16.96 


l.ll 


17 


18 


17.98 


0.94 


17.97 


1.02 


17.97 


1.10 


17.96 


1.18 


18 


19 


18.98 


0.99 


18.97 


1.08 


18.96 


1.16 


18.96 


1.24 


19 


20 
21 


19.97 


1.05 


19.97 


1.13 


19.96 


1.22 


19.96 


1.31 


20 
21 


20.97 


1.10 


20.97 


1.19 


20.96 


1.28 


20.96 


1.37 


22 


21.97 


1.15 


21.96 


1.25 


21.96 


1.34 


21.95 


1.44 


22 


23 


22.97 


1.20 


22.96 


1.30 


22.96 


1.40 


22.95 


1.50 


23 


24 


23.97 


1.26 


23.96 


1.36 


23.96 


1.47 


23.95 


1.57 


24 


25 


24.97 


1.31 


24.96 


1.42 


24.95 


1.53 


24.95 


1.64 


25 


26 


25.96 


1.36 


25.96 


1.47 


25.95 


1.59 


25.94 


1.70 


26 


27 


26.96 


1.41 


26.96 


1.53 


26.95 


1.65 


26.94 


1.77 


27 


28 


27.96 


1.47 


27.95 


1.59 


27.95 


1.71 


27.94 


1.83 


28 


29 


28.96 


1-52 


28.95 


1.64 


28.95 


1.77 


28.94 


1.90 


29 


30 
31 


29.96 


1.57 


29.95 


1.70 


29.94 


1.83 


29.94 


1.96 


30 
31 


30.96 


1.62 


30.95 


1.76 


30.94 


1.89 


30.93 


2.03 


32 


31.96 


1.67 


31.95 


1.81 


31.94 


1.95 


31.93 


2.09 


32 


33 


32.95 


1.73 


32.95 


1.87 


32.94 


2.01 


32.93 


2.16 


33 


34 


33.95 


1.78 


33.95 


1.93 


33.94 


2.08 


33.93 


2.22 


34 


35 


34.95 


1.83 


34.94 


1.98 


34.93 


2.14 


34.92 


2.29 


35 


36 


35.95 


1.88 


35.94 


2.04 


35.93 


2.20 


35.92 


2.35 


36 


37 


36.95 


1.94 


36.94 


2.10 


36.93 


2.26 


36.92 


2.42 


37 


38 


37.95 


1.99 


37.94 


2.15 


37.93 


2.32 


37.92 


2.49 


38 


39 


38.95 


2.04 


38.94 


2.21 


38.93 


2.38 


38.92 


2.55 


39 


40 
41 


39.95 


2.09 


39.94 
40.93 


2.27 


39.93 


2.44 


39.91 


2.62 


40 
41 


40.94 


2.15 


2.32 


40.92 


2.50 


40.91 


2.68 


42 


41.94 


2.20 


41.93 


2.38 


41.92 


2.56 


41.91 


2.75 


42 


43 


42.94 


2.25 


42.93 


2.44 


42.92 


2.63 


42.91 


2.81 


43 


44 


43.94 


2.30 


43.93 


2.49 


43.92 


2.69 


43.91 


2.88 


44 


45 


44.94 


2.36 


44.93 


2.55 


44.92 


2.75 


44.90 


2.94 


45 


46 


45.94 


2.41 


45.93 


2.61 


45.91 


2.81 


45.90 


3.01 


46 


47 


46.94 


2.46 


46.92 


2.66 


46.91 


2.87 


46.90 


3.07 


47 


48 


47.93 


2.51 


47.92 


2.72 


47.91 


2.93 


47.90 


3.14 


48 


49 


48.93 


2.56 


48.92 


2.78 


48.91 


2.99 


48.90 


3.20 


49 


_50 

© 

a 

00 

Q 


49.93 


2.62 


49.92 


2.83 


49.91 


3.05 


49.89 


3.27 


50 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


87 Deg, 


861 Deg. 


86i 


Deg. 


86i 


Deg. 



TRAVERSE TABLE. 



OQ 

? 

51 


3Deg. 


3i Deg. 


3^ Deg. 


3| Deg. 


O 

to 

? 
51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50.93 


2.67 


50.92 


2.89 


50.90 


3.11 


50.89 


3.34 


52 


51.93 


2.72 


51.92 


2.95 


51.90 


3.17 


51.89 


3.40 


52 


53 


52.93 


2.77 


52.91 


3.00 


52.90 


3.24 


52.89 


3.47 


53 


54 


53.93 


2.83 


53.91 


3.06 


53.90 


3.30 


53.88 


3.53 


54 


55 


54.92 


2.88 


54.91 


3.12 


54.90 


3.36 


54.88 


3.60 


65 


56 


55.92 


2.93 


55.91 


3.17 


55.90 


3.42 


65.88 


3.66 


56 


57 


56.92 


2.98 


56.91 


3.23 


56.89 


3.48 


56.88 


3 73 


57 


58. 


57.92 


3.04 


57.91 


3.29 


157.89 


3.54 


57.88 


3.79 


58 


59 


58.92 


3.09 


58.91 


3.34 


158.89 


3.60 


58.87 


3.86 


59 


60 

61 


59.92 


3.14 


59.90 


3.40 


1 59.89 


3.66 


59.87 


3.92 


60 
6] 


60.92 


3.19 


60.90 


3.46 


160.89 


3.72 


60.87 


3.99 


62 


61.92 


3.24 


61.90 


3.51 


61.88 


3.79 


61.87 


4.05 


62 


63 


62.91 


3.30 


62.90 


3.57 


62.88 


3.85 


62.87 


4.12 


63 


64 


63.91 


3.35 i 


63.90 


3.63 


63.88 


3.91 


63.86 


4.19 


64 


65 


64.91 


3.40; 


64.90 


3.69 


64.88 


3.97 


64.86 


4.25 


65 


66 


65.91 


3.45 1 


65.89 


3.74 


65.88 


4.03 


65.86 


4.32 


66 


67 


66.91 


3.51 


66.89 


3.80 


66.88 


4 09 


66.86 


4.38 


67 


68 


67.91 


3.56! 


67.89 


3.86 


67.87 


4.15 


67.85 


4.45 


68 


69 


68.91 


3.61 ; 


68.89 


3.91 


68.87 


4.21 


68.85 


4.51 


69 


70 

71 


69.90 


3.66 
3.72, 


69.89 


3.97 


69.8'7 


4.27 


69.85 


4.58 


70 
71 


70.90 


70.89 


4.03 


70.87 


4.33 


70.85 


4.64 


72 


71.90 


3.77! 


71.88 


4.08 


71.87 


4.40 


71.85 


4.71 


72 


73 


72.90 


3.82 


72.88 


4.14 


72.86 


4.46 


72.84 


4.77 


73 


74 


73.90 


3.87' 


73.88 


4.20 


73.86 


4.52 


73.84 


4.84 


74 


75 


74.90 


3.93 


74.88 


4.25 


74.86 


4.58 


174.84 


4.91 


75 


76 


75.90 


3.98 


75.88 


4.31 


75-86 


4.64 


75.84 


4.97 


76 


77 


76.89 


4.03 


76.88 


4.37 


76.86 


4.70 


1 76.84 


5.04 


77 


78 


77.89 


4.08 


77.87 


4.42 


77.85 


4.76 


J 77.83 


5.10 


78 


79 


78.89 


4.13 


78.87 


4.48 


78.85 


4.82 


178.83 


5.17 


79 


80 
81 


79.89 


4.19 
4.24 


79.87 


4.54 


79.85 


4.88 


79.83 


5.23 


80 
81 


80.89 


80.87 


4.. 59 


80.85 


4.94 


80.83 


5.30 


82 


81.89 


4.29 


81.87 


4.65 


81.85 


5.01 


81.82 


5.38 


82 


83 


82.89 


4.34 


82.87 


4.71 


82.85 


5.07 


82.82 


5.43 


83 


84 


83.88 


4.40 


83.86 


4.76 


83.84 


5.13 


83.82 


5.49 


84 


85 


84.88 


4.45 


84.86 


4.82 


84.84 


5.19 


84.82 


5.56 


85 


86 


85.88 


4.50 


85.86 


4-88 


85.84 


5.25 


i 85.82 


5.62 


86 


87 


86.88 


4.55 


86.86 


4.93 


86.84 


5.31 


,86.81 


5.69 


87 


88 


87.88 


4.61 


87.86 


4.99 


87.84 


5.37 


: 87.81 


6.76 


88 


89 


88.88 


4.66 


88.86 


5.05 


88.83 


5.43 


j 88.81 


5.82 


89 


90 
91 


89.88 


4.71 


89.86 


5.10 
5.16 


89.83 
90.83 


5.49 
5.56 


89.81 


5.89 


90 
91 


90.88 


4.76 


90.85 


90.81 


5.95 


92 


91.87 


4.81 


91.85 


5.22 


91.83 


5.62 


91.80 


6.02 


92 


93 


92.87 


4.87 


92.85 


5.27 


92.83 


5.68 


92.80 


6.08 


93 


94 


93.87 


4.92 


93.85 


5.33 


93.82 


5.74 


93.80 


6.15 


94 


95 


94.87 


4.97 


94.85 


5.39 


94.82 


5.80 


94.80 


6.21 


95 


96 


95.87 


5.02 


95.85 


5.44 


95.82 


5.86 


95.79 


6.28 


96 


97 


96.87 


5.08 


96.84 


5.50 


96.82 


5.92 


96.79 


6.34 


97 


98 


97.87 


5.13 1 


97.84 


5.56 


97.82 


5.98 


97.79 


6.41 


98 


99 


98.86 


5.18 


98.84 


5.61 


98.82 


6.04 


98.79 


6.47 


99 


100 

J 


99.86 


5.23 


99.84 


5.67 


99.81 


6.10 


99.79 


6.54 


100 

o 

c 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


87 1 


)eg. 


86| 


Deg. 


861 


Deg. 


86i 


Deg. 



10 



TRAViERSfi fABLE. 



GO 

a 
9 
1 


4Deg. 


4J Deg. 


4i Deg. 


4| Deg. 


3 


CD 
~1 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




1,00 


0.07 


1.00 


0.07 


1.00 


0.08 


1.00 


0.08 




2 


2,00 


0.14 


1.99 


0.15 


1.99 


0.16 


1.99 


0.17 


2 




3 


2.99 


0.21 


2.99 


0.22 


2.99 


0.24 


2.99 


0.25 


3 




4 


3.99 


0.28 


3.99 


0.30 


3.99 


0.31 


3.98 


0.33 


4 




5 


4.99 


0.35 


4.99 


0.37 


4.98 


0.39 


4.98 


0.41 


5 




6 


5.99 


0.42 


5.98 


0.44 


5.98 


0.47 


5.98 


0.50 


6 




7 


6.98 


0.49 


6.98 


0.52 


6.98 


0.55 


6.97 


0.58 


7 




8 


7.98 


0.56 


7.98 


0.59 


7.98 


0.63 


7.97 


0.66 


8 




9 


8.98 


0.63 


8.98 


0.67 


8.97 


0.71 


8.97 


0.75 


9 




10 
11 


9.98 


0.70 


9.97 


9.74 


9.97 


0.78 


9.97 


0.83 


10 
11 




10.97 


0.77 


10.97 


0.82 


10.97 


0.86 


10.96 


O.Sl 




12 


11.97 


0.84 


11.97 


0.89 


11.96 


0.94 


11.96 


0.99 


12 




13 


12.97 


0.91 


12.96 


0.96 


12.96 


1.02 


12.96 


1.08 


13 




14 


13.97 


0.98 


13.96 


1.G4 


13.96 


1.10 


13.95 


1.16 


14 




15 


14.96 


1.05 


14.96 


1,11 


14.95 


1.18 


14.95 


1.24 


15 




16 


15.96 


1.12 


15.96 


1.19 


15.95 


1.26 


15.95 


1.32 


16 




17 


16.96 


1.19 


16.95 


1.26 


16.95 


1.33 


16.94 


1.41 


17 




18 


17.96 


1.26 


17.95 


1.33 


17.94 


1.41 


17.94 


1.49 


18 




19 


18.95 


1.33 


18.95 


1.40 


18.94 


1.49 


18.93 


1.57 


19 




20 
21 


19.95 


1.40 


19.95 


1.48 


19.94 


1.57 
1.65 


19.93 


1.66 


20 

21 




20.95 


1.46 


20.94 


1.56 


20.94 


20.93 


1.74 




22 


21.95 


1.53 


21.94 


1.63 


21.93 


1.73 


21.92 


1.82 


22 




23 


22.94 


1.60 


22.94 


1.70 


22.93 


1.80 


22.92 


1.90 


,23 




24 


23.94 


1.67 


23.93 


1.78 


23.93 


1.88 


23.92 


1.99 


24 




25 


24.94 


1.74 


24.93 


1.85 


24.92 


1.96 


24.91 


2.07 


25 




26 


25.94 


1.81 


25.93 


1.93 


25.92 


2.04 


25.91 


2.15 


26 




27 


26.93 


1.88 


26.93 


2.00 


26.92 


2.12 


26.91 


2.24 


27 




28 


27.93 


1.95 


27.92 


2.08 


27.91 


2.20 


27.90 


2.32 


28 




29 


28.93 


2.02 


28.92 


2.15 


28.91 


2.28 


28.90 


2.40 


29 




30 
31 


29.93 


2.09 


29.92 


2.22 


29.91 


2.35 


29.90 


2.48 


30 
■31 




30.92 


2.16 


30.91 


2.30 


30.90 


2.43 


30.89 


2.57 




32 


31.92 


2.23 


31.91 


2.37 


31.90 


2.51 


31.89 


2.65 


32 




33 


32.92 


2.30 


32.91 


2.45 


32.90 


2.59 


32.89 


2.73 


33 




34 


33.92 


2.37 


33.91 


2.52 


33.90 


2.67 


33.88 


2.82 


34 




35 


34.91 


2.44 


34.90 


2.59 


34.89 


2.75 


34.88 


2.90 


35 




36 


35.91 


2.51 


35.90 


2.07 


35.89 


2.82 


35.88 


2.98 


36 




37 


36.91 


2.58 


36.90 


2.74 


36.89 


2.90 


36.87 


3.06 


37 




38 


37.91 


2.65 


37.90 


2.82 


37.88 


2.98 


37.87 


3.15 


38 




39 


38.90 


2.72 


38.89 


2.89 


38.88 


3.06 


38.87 


3.23 


39 




40 


39.90 
40.90 


2.79 


39.89 


2.96 


39.88 


8.14 


39.86 


3.31 


40 

41 




41 


2.86 


40.89 


3.04 


40.87 


3.22 


40.86 


3.40 




42 


41.90 


2.93 


41.88 


3.11 


41.87 


3.30 


41.86 


3.48 


42 




43 


42.90 


3.00 


42.88 


3.19 


42.87 


3.37 


42.85 


3.56 


43 




44 


43.89 


3.07 


43.88 


3.26 


43.86 


3.45 


43.85 


3.64 


44 




45 


44.89 


3.14 


44.88 


3.33 


44.86 


3.53 


44.85 


3.73 


45 




46 


45.89 


3.21 


45.87 


3.41 


45.86 


3.61 


45>84 


3.8] 


46 




47 


46.89 


3.28 


46.87 


3.48 


46.86 


3.69 


46,84 


3.89 


47 




48 


47.88 


3.35 


47.87 


3.56 


47.85 


3.77 


47.84 


3.97 


48 




49 


48.88 


8.42 


48.87 


3.63 


48.85 


3.84 


48.83 


4.06 


49 




50 

1 

to 


49-88 


3.49 


49.86 


3.71 


49.85 


3.92 


49.83 
Dep. 


4.14 


_50 

5 

Q 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Lat. 




86 Deg. 


851 Deg. 


85^- 

1 


Deg. 


m 


Deg. 





TRAVERSE TABLE. 



11 



51 


4Deg. 


4i Deg. 


H Deg. 


4i Deg. 


O 
5" 

p 

3 
o 

CO 

~5l 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50.88 


3.56 


50.86 


3.78 


50.84 


4.00 


50.82 


4.22 


52 


51.87 


3.63 


51.86 


3.85 


51.84 


4.08 


51.82 


4.31 


52 


53 


52.87 


3.70 


52.85 


3.93 


52.84 


4.16 


62.82 


4.39 


53 


54 


53.87 


3.77 


53.85 


4.00 


53.83 


4.24 


53.81 


4.47 


54 


55 


54.87 


3.84 


54.85 


4.08 


54.83 


4.32 


54.81 


4.55 


56 


56 


55.86 


3.91 


55.85 


4.15 


55.83 


4.39 


55.81 


4.64 


56 


57 


56.86 


3.98 


56.84 


4.22 


56.82 


4.47 


56.80 


4.72 


57 


58 


57.86 


4.05 


57.84 


4.30 


57.82 


4.55 


57.80 


4.80 


58 


59 


58.86 


4.12 


58.84 


4.37 


58.82 


4.63 


58.80 


4.89 


59 


60 
61 


59.85 


4.19 


59.84 


4.45 


59.82 


4.71 


59.79 


4.97 


60 
61 


60.85 


4.26 


60.83 


4.52 


60.81 


4.79 


60.79 


5.05 


62 


61.85 


4.32 


61.83 


4.59 


61.81 


4.86 


61.79 


5.13 


62 


63 


62.85 


4.39 


62.83 


4.67 


62.81 


4.94 


62.78 


6.22 


63 


64 


63.84 


4.46 


63.82 


4.74 


63.80 


5.02 


63.78 


5.30 


64 


65 


64.84 


4.53 


64.82 


4.82 


64.80 


5.10 


64.78 


5.38 


65 


66 


65.84 


4.60 


65.82 


4.89 


65.80 


6.18 


65.77 


5.47 


66 


67 


66.84 


4.67 


66.82 


4.97 


66.79 


5.36 


66.77 


6.55 


67 


68 


67.83 


4.74 


67.81 


5.04 


67.79 


6.34 


67.77 


5.63 


68 


69 


68.83 


4.81 


68.81 


5.11 


68.79 


6.41 


68.76 


5.71 


69 


70 
71 


69.83 


4.88 


69.81 


5.19 


69.78 


6.49 


69.76 


5.80 


70 
71 


70.83 


4.95 


1 70.80 


5.26 


70.78 


5.57 


70.76 


5.88 


72 


71.82 


5.02 


71.80 


5.34 


71.78 


5.65 


71.75 


5.96 


72 


73 


72.82 


5.09 


72.80 


5.41 


72.77 


5.73 


72.75 


6.04 


73 


74 


73.82 


5.16 


73.80 


5.48 


73.77 


5.81 


73.75 


6.13 


74 


75 


74.82 


5.23 


74.79 


5.56 


74.77 


5.88 


74.74 


6.21 


75 


76 


75.81 


5.30 


75.79 


5.63 


75.77 


5.96 


75.74 


6.29 


76 


77 


76.81 


5.37 


76.79 


-5.71 


76.76 


6.04 


76.74 


6.38 


77 


78 


77.81 


5.44 


77.79 


5.78 


77.76 


6.12 


77.73 


6.46 


78 


79 


78.81 


5.51 


78.78 


5.85 


78.76 


6.20 


78.73 


6.54 


79 


80 

81 


79.81 


5.58 


79.78 


5.93 


79.75 


6.28 


79.73 


6.62 


80 
81 


80.80 


5.65 


80.78 


6.00 


80.75 


6.36 


80.72 


6.71 


82 


81.80 


5.72 


81.78 


6.08 


81.75 


6.43 


81.72 


6.79 


82 


83 


82.80 


5.79 


82.77 


6.15 


82.74 


6.51 


82.71 


6.87 


83 


84 


83.80 


5.86 


83.77 


6.23 


83.74 


6.. 59 


83.71 


6.96 


84 


85 


84.79 


5.93 


84.77 


6.30 


84.74 


6.67 


84.71 


7.04 


85 


86 


85.79 


6.00 


85.76 


6.37 


85.73 


6.75 


85.70 


7.12 


86 


87 


86.79 


6.07 


86.76 


6.45 


86.73 


6.83 


86.70 


7.20 


87 


88 


87.79 


6.14 


87.76 


6.52 


87.73 


6.90 


87.70 


7.29 


88 


89 


88.78 


6.21 


88.76 


6.60 


88.73 


6.98 


88.70 


7.37 


89 


90 

91 


89.78 


6.28 


89.75 
90.75 


6.67 


89.72 


7.06 


89.69 


7.45 


90 
91 


90.78 


6.35 


6.74 


90.72 


7.14 


90.69 


7.54 


92 


91.78 


6.42 


91.75 


6.82 


91.72 


7.22 


91.68 


7.62 


92 


93 


92.77 


6.49 


92.74 


6.89 


92.71 


7.30 


92.68 


7.70 


93 


94 


93.77 


6.56 


93.74 


6.97 


93.71 


7.38 


93.68 


7.78 


94 


95 


94.77 


6.63 


94.74 


7.04 


94.71 


7.45 


94.67 


7.87 


95 


96 


95.77 


6.70 


95.74 


7.11 


95.70 


7.53 


95.67 


7.95 


96 


97 


96.76 


6.77 


96.73 


7.19 


96.70 


7.61 


96.67 


8.03 


97 


98 


97.76 


6.84 


97.73 


7.26 


97.70 


7.69 


97.66 


8.12 


98 


99 


98.76 


6.91 


98.73 


7.34 


98.69 


7.77 


98.66 


8.20 


99 


100 

u 

c 


99.76 


6.98 


99.73 


7.41 


99.69 


7.85 


99.66 


8.28 


100 

6 
o 

c 

1 

5 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


86] 


[)eg. 


85j Deg. 


85^ 


Deg. 


1 

85i Deg. 



K 



12 



TRAVERSE TABLE. 





5Deg, 


■ 
SiDeg. 


5lDeg. 


HDeg. 


2 

P 


Lat. 


Dep. 


Lat. 


Dep. 1 


Lat. 


Dep. i 


Lat. 


Dep. 


1 


1.00 


0.09 1 1.00 


0.09 


1.00 


0.10 


0.99 


O.lOi 1| 


2 


1.99 


0.171 1.99 


0.18 


1.99 


0.19 


1.99 


0.20 


2 


3 


2.99 


0.26 


2.99 


0.27 j 


2.99 


0.29 


2.98 


0.30 


3 


4 


3.98 


0.35 


3.98 


0.37 


3. 98 


0.38 


3.98 


0.40 


4 


5 


4.98 


0.44 1 


4.98 


0.46 1 


4.98 


0.48 1 


4.97 


0.50 


5 


6 


5. 98 


0.52. 5.97 


0.55 


5.97 


0.98' 


5.97 


0.60 


6 


7 


6.97 


0.611 


0.97 


0.64 


6.97 


0.67 i 


6.96 


0.70 


7 


8 


7.97 


0.70 ' 


7.97 


0.73 


7.96 


0.76 


7.96 


0.80 


8 


9 


8.97 


0.78 


8.96 


0.82 


S 96 


0.86 


8.95 


0.90 


9 


10 
11 


9.96 


0.87 


9.96 


0.92 1 


9.95 


0.96 


9.95 


1.00 


10 


10.96 


0.96 


10.95 


1.01 


10.95 


1.05 


10.94 


1.10 


11 


12 


11.95 


1.05 1 11.95 


1.10 


11.94 


1.15 


11.94 


1.20 


12 


13 


12.95 


1.13 i 12.95 


1.19 


12.94 


1.25 


12.93 


1.30 


13 


14 


13.95 


1.22 i 13.94 


1.28 


13.94 


1.34 


13.93 


1.40 


14 


15 


14.94 


1.31 i 14.94 


1.37 


14.93 


1.44 ! 


14.92 


1.50 


15 


16 


15.94 


1..39 i 15.93 


1.46 


15.93 


1.53 1 


15.92 


1.60 


16 


17 


16.94 


I.'IS 1 16.93 


1.56 


16.92 


1.63 i 


16.91 


1.70 


17 


18 


17.93 


1.57 17.92 


1.65 


17.92 


1.73! 


17.91 


1.80 


18 


19 


18.93 


1.66 1 18.92 


1.74 


18.91 


1.82 1 


18.90 


1.90 


19 


20 

21 


19.92 


1.74 


19.92 


1.83 


19.91 


1.92 i 


19.90 


2.00 


20 

21 


20.92 


1.S3 


20.91 


1.92 


20.90 


2.01 i 


20.89 


2.10 


22 


21.92 


1.92 


21.91 


2.01 


21.90 


2.11: 


21.89 


2.20 


22 


23 


22.91 


2,00 


22.90 


2.10 


22.89 


2.20 


22.88 


2.30 


23 


24 


23.91 


2.09 


23.90 


2.20 


23.89 


2.30 


23.88 


2.40 


24 


2.T 


24.90 


2.18 


24.90 


2.29 


24.88 


2.40 


24.87 


2.50 


25 


26 


25.90 


2.27 j 


25.89 


2.38 


25.88 


2.49, 


25.87 


2.60 


26 


27 


26.90 


2.35 1 


26.89 


2.47 


26.88 


2.59 


26.86 


2.71 


27 


28 


27.89 


2.44 i 27.88 


2.56 1 


27.87 


2.68 


27.86 


2.81 


28 


29 


28.89 


2.53 ' 28.83 


2.65 f 


28.87 


2.78; 


28.85 


2.91 


29 


30 
31 


29.89 
30.88 


2.61 29.87 
2.70 30.87 


2.75 
2.84 


29.86 


2.88 , 


29.85 


3.01 


30 


30.86 


2.97 


30.84 


3.11 


31 


32 


31.88 


2.79 1 31.87 


2.93 


31.85 


3.07 


31.84 


3.21 


32 


33 


32.87 


2.88 !i 32.86 


3.02^ 


32.85 


3.16 ' 


32.83 


3.31 


33 


34 


33.87 


2.96 1 33.86 


3.11 


33.84 


3.26 


33.83 


3.41 


34 


35 


34.87 


3.05 1 34.85 


3.20 


34.84 


3.35 


, W.82 


3.51 


35 


36 


35.86 


3.14 1 35.85 


3.29 


35.83 


3.45 


35.82 


3.61 


36 


37 


36.86 


3.22 i 36.84 


3.39 


36.83 


3.55 


36.81 


3.71 


37 


38 


37.86 


3.31 


37.84 


3.48 


37.83 


3.64 


37.81 


3.81 


38 


39 


38.85 


3.40 


38.84 


3.57 


38.82 


3.74 


'38.80 


3.91 


39 


40 
41 


39.85 


3.49 


39.83 


3.66 


39.82 
40.81 


3.83 


39.80 


4.01 


40 
41 


40.84 


3.57 


40.83 


3.75 


3.93 


40.79 


4.11 


4?, 


41.84 


3.66 


41.82 


3.84 


41.81 


4.03 


41.79 


4.21 


42 


43 


42.84 


3.75 


42.82 


3.93 


42.80 


4.12 


42.78 


4.31 


43 


44 


43.83 


3.83 


43.82 


4.03 


43.80 


4.22 


43.78 


4.41 


44 


45 


44.83 


3.92 


44.81 


4.12 


44.79 


4.31 


44.77 


4.51 


45 


46 


45.82 


4.01 


145.81 


4.21 


45.79 


4.41 


45.77 


4.61 


46 


47 


46.82 


4.10 


46.80 


4.30 


46.78 


4.50 


46.76 


4.71 


47 


48 


47.82 


4.18 


47.80 


4.39 


47.78 


4.60 


47.76 


4.81 


48 


49 


48.81 


4.27 


48.79 


4.48 


48.77 


4.70 


48.75 


4.91 


49 


50 


49.81 


4.36 


49.79 


4.58 


49.77 


4.79 


49.75 


i 5.01 


50 


e5 
•1 


Dep. 


: Lat. 


JDep. 

i 

' 84| 


Lat. 
Deg. 


Dep. 


Lat. 


Dep. 


j Lat. 


.2 




85 


Deg. 


, m 


Deg. 


m 


Deg. 


U- 



















TRAVERSE TABL£. 



13 



p 


5 Degr. 


5i Deg. 


HDeg. 


5i Deg. 


O 


Lat 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50.81 


4.44 


50.79 


4.67 


50.77 


4.89 


50.74 


5.11 


~61 


62 


51.80 


4.53 


51.78 


4.76 


51.76 


4.98 


51.74 


6.21 


62 


63 


52.80 


4.62 


52.78 


4.85 


52.76 


5.08 


52.73 


5.31 


53 


64 


53.79 


4.71 


53.77 


4.94 


53.75 


6.18 


53.73 


6.41 


64 


65 


54.79 


4.79 


54.77 


5.03 


54.75 


5.27 


54.72 


5.51 


55 


66 


55.79 


4.88 


56.77 


5.12 


55.74 


5.37 


55.72 


5.61 


56 


57 


56.78 


4.97 


66.76 


5.22 


66.74 


5.46 


66.71 


5.71 


57 


58 


57.78 


5.06 


67.76 


5.31 


67.73 


5.56 


57.71 


5.81 


58 


59 


58.78 


6.14 


58.75 


5.40 


58.73 


5.65 


68.70 


5.91 


69 


60 
61 


59.77 


5.23 


69.75 


5.49 


69.72 


5.75 


59.70 


6.01 


60 
61 


60.77 


6.32 


60.74 


6.58 


60.72 


5.86 


60.69 


6.11 


62 


61.76 


5.40 


61.74 


5.67 


61.71 


5.94 


61.69 


6.21 


62 


63 


62.76 


5.49 


62.74 


5.76 


62.71 


6.04 


62.68 


6.31 


63 


64 


63.76 


5.58 


63.73 


5.86 


63.71 


6.13 


63.68 


6.41 


64 


65 


64.75 


5.67 


64.73 


5.96 


64.70 


6.23 


64.67 


6.51 


65 


66 


65.75 


6.75 


65.72 


6.04 


65.70 


6.33 


65.67 


6.61 


66 


67 


66.75 


5.84 


66.72 


6.13 


66.69 


6.42 


66.66 


6.71 


67 


68 


67.74 


5.93 


67.71 


6.22 


67.69 


6.52 


67.66 


6.81 


68 


69 


68.74 


6.01 


68.71 


6.31 


68.68 


6.61 


68.65 


6.91 


69 


70 

71 


69.73 


6.10 


69.71 


6.41 


69.68 


6.71 


69.65 


7.01 


70 
71 


70.73 


6.19 


70.70 


6.50 


70.67 


6.81 


70.64 


7.11 


72 


71.73 


6.28 


71.70 


6.69 


71.67 


6.90 


71.64 


7.21 


72 


73 


72.72 


6.36 


72.69 


6.68 


72.66 


7.00 


72.63 


7.31 


73 


74 


73.72 


6.45 


73.69 


6.77 


73.66 


7.09 


73.63 


7.41 


1^ B 


75 


74.71 


6.54 


74.69 


fi.86 


74.65 


7.19 


74.62 


7.51 


75 


76 


75.71 


6.62 


75.68 


6.95 


75.65 


7.28 


75.62 


7.61 


76 


77 


76.71 


6.71 


76.68 


7.05 


76.66 


7.38 


76.61 


7.71 


77 


78 


77.70 


6.80 


77.67 


7.14 


77.64 


7.48 


77.61 


7.81 


78 


79 


78.70 


6.89 


78.67 


7.23 


78.64 


7.67 


78.60 


7.91 


79 


80 
81 


79.70 
80.69 


6.97 


79.66 


7.32 


79.63 


7.67 


79.60 


8.02 


80 


7.06 


80.66 


7.41 


80.63 


7.76 


80.59 


8.12 


81 


82 


81.69 


7.15 


81.66 


7.50 


81.62 


7.86 


81.59 


8.22 


82 


83 


82.68 


7.23 


82.65 


7.59 


82.62 


7.96 


82.. 58 


8.32 


83 


84 


83.68 


7.32 


83.65 


7.69 


83.61 


8.05 


83.58 


8.42 


84 


85 


84.68 


7.41 


84.64 


7.78 


84.61 


8.15 


84.57 


8.52 


85 


86 


85.67 


7.50 


85.64 


7.87 


85.60 


8.24 


85.57 


8.62 


86 


87 


86.67 


7.58 


86.64 


7.96 


86.60 


8.34 


86.56 


8.72 


87 


88 


87.67 


7.67 


87.63 


8.05 


87.59 


8.43 


87.56 


8.82 


88 


89 


88.66 


7.76 


88.63 


8.14 


88.59 


8.53 


88.65 


8.92 


89 


90 
91 


89.66 


7.84 


89.62 


8.24 


89.59 


8.63 


89.55 


9.02 


90 
9] 


90.65 


7.93 


90.62 


8.33 


90.58 


8.72 


90.54 


9.12 


92 


91.65 


8.02 


91.61 


8.42 


91.58 


8.82 


91.54 


9.22 


92 


93 


92.65 


8.11 


92.61 


8.51 


92.57 


8.91 


92.53 


9.32 


93 


94 


93.64 


8.19 


93.61 


8.60 


93.57 


9.01 


93.53 


9.42 


94 


95 


94.64 


8.28 


94.60 


8.69 


94.56 


9.11 


94.52 


9.52 


95 


96 


95.63 


8.37 


95.60 


8.78 


95.56 


9.20 


95.52 


9 . 62 


96 


97 


96.63 


8.45 


96.59 


8.88 


96.65 


9.30 


96.51 


9.72 


97 


98 


97.63 


8.64 


97.69 


8.97 


97.56 


9.39 


97.51 


9.82 


98 


99 


98.62 


8.63 


98.69 


9.06 


98.54 


9.49 


98.50 


9.92 


99 


100 

3 


99.62 


8.72 


99.58 


9.15 


99.54 


9.58 


99..'50 


10.02 


100 

i" 

to 

5 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


85 r 


>eg. 


84} Deg. 


84i] 


[)eg. 


84i Deg. 



14 



TRAVERSE TABLE. 



5 


6 Deg. 


6\ Deg. 


H Deg. 


6J Deg. 


O 

a 

S 

9 


Lat. 


Dep. 
0.10 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.99 


0.99 


0.11 


0.99 


0.11 


0.99 


0.12 


1 


2 


1.99 


0.21 


1.99 


0.22 


1.99 


0.23 


1.99 


0.24 


2 


3 


2.98 


0.31 


2.98 


0.33 


2.98 


0.34 


2.98 


0.35 


3 


4 


3.98 


0.41 


3.98 


0.44 


3.97 


0.45 


3.97 


0.47 


4 


5 


4.97 


0.52 


4.97 


0.54 


4.97 


0.57 


4.97 


0.59 


5 


6 


5.97 


0.63 


5.96 


0.65 


5.96 


0.68 


5.96 


0.71 


6 


7 


6.96 


0.73 


6.96 


0.76 


6.96 


0.79 


6.95 


0.82 


7 


8 


7.96 


0.84 


7.95 


0.87 


7.95 


0.91 


7.94 


0.94 


8 


9 


8.95 


0.94 


8.95 


0.98 


8.94 


1.02 


8.94 


1.06 


9 


10 
11 


9.95 


1.05 


9.94 


1.09 


9.94 


1.13 


9.93 


1.18 


10 


10.94 


1.15 


10.93 


1.20 


10.93 


1.25 


10.92 


1.29 


11 


12 


11.93 


1.25 


11.93 


1.31 


11.92 


1.36 


11.92 


1.41 


12 


13 


12.93 


1.36 


12.92 


1.42 


12.92 


1.47 


12.91 


1.53 


13 


14 


13.92 


1.46 


13.92 


1.52 


13.91 


1.59 


13.90 


1.65 


14 


15 


14.92 


1.57 


14.91 


1.63 


14.90 


1.70 


14.90 


1.76 


15 


16 


15.91 


1.67 


15.90 


1.74 


15.90 


1.81 


15.89 


1.88 


16 


17 


16.91 


1.78 


16.90 


1.85 


16.89 


1.92 


16.88 


2.00 


17 


18 


17.90 


1.88 


17.89 


1.96 


17.88 


2.04 


17.88 


2.12 


18 


19 


18.90 


1.99 


18.89 


2.07 


18.88 


2.15 


18.87 


2.23 


19 


20 
21 


19.89 


2.09 


19.88 


2.18 


19.87 


2.26 


19.86 


2.35 


20 


20.88 


2.20 


20.88 


2.29 


20.87 


2.38 


20.85 


2.47 


21 


22 


21.88 


2.30 


21.87 


2.40 


21.86 


2.49 


21.85 


2.59 


22 


23 


22.87 


2.40 


22.86 


2.50 


22.85 


2.60 


22.84 


2.70 


23 


)4,4: 


23.87 


2.51 


23.86 


2.61 


23.85 


2.72 


23.83 


2.82 


24 


25 


24.86 


2.61 


24.85 


2.72 


24.84 


2.83 


24.83 


2.94 


25 


26 


25.86 


2.72 


25.85 


2.83 


25.83 


2.94 


25.82 


3.06 


26 


27 


26.85 


2.82 


26.84 


2.94 


26.83 


3.06 


26.81 


3.17 


27 


28 


27.85 


2.93 


27.83 


3.05 


27.82 


3.17 


27.81 


3.29 


28 


29 


28.84 


3.03 


28.83 


3.16 


28.81 


3.28 


28.80 


3.41 


29 


30 
31 


29.84 


3.14 


29.82 


3.27 


29.81 


3,40 


29.79 


3.53 


30 


30.83 


3.24 


30.82 


3.37 


30.80 


3.51 


30.79 


3.64 


31 


32 


31.82 


3.34 


31.81 


3.48 


31.79 


3.62 


31.78 


3.76 


32 


33 


32.82 


3.45 


32.80 


3.59 


32.79 


3.74 


32.77 


3.88 


33 


34 


33.81 


3.55 


33.80 


3.70 


33.78 


3.85 


33.76 


4.00 


34 


35 


34.81 


3.66 


34.79 


3.81 


34.78 


3.96 


34.76 


4.11 


35 


36 


35.80 


3.76 


35.79 


3.92 


35.77 


4.08 


35.75 


4.23 


36 


37 


36.80 


3.87 


36.78 


4.03 


36.76 


4.19 


36.75 


4.35 


37 


38 


37.79 


3.97 


37.77 


4.14 


37.76 


4.30 


37.74 


4.47 


38 


39 


38.79 


4.08 


38.77 


4.25 


38.75 


4.41 


38.73 


4.58 


39 


40 
41 


39.78 

40.78 


4.18 


39.76 


4.35 


39,74 


4.53 


39.72 


4.70 


40 
41 


4.29 


40.76 


4.46 


40.74 


4.64 


40.72 


4.82 


42 


41.77 


4.39 


41.75 


4.57 


41.73 


4.76 


41.71 


4.94 


42 


43 


42.76 


4.49 


42.74 


4.68 


42.72 


4.87 


42.70 


5.05 


43 


44 


43.76 


4.60 


43.74 


4.79 


43.72 


4.98 


43.70 


5.17 


44 


45 


44.75 


4.70 


44.73 


4.90 


44.71 


5.09 


44.69 


5.29 


45 


46 


45.75 


4.81 


45.73 


5.01 


45.70 


5.21 


45.68 


5.41 


46 


47 


46.74 


4.91 


46,72 


5.12 


46.70 


5.32 


46.67 


5.52 


47 


48 


47.74 


5.02 


47.71 


5.23 


47.69 


5.43 


47.67 


5.64 


48 


49 


48.73 


5.12 


48.71 


5.34 


48.69 


5.55 


48.06 


5.76 


49 


50 

c 
c 

Q 


49.73 


5.23 


49.70 


5.44 


49.68 


5.66 


49.65 


5.88 


50 


Dep. 


Lat. 


Dep. 
83i 


Lat. 
Beg. 


Dep. 


Lat. 


Dep. 


Lat. 


6 
o 
c 

.=2 

Q 


84 Deg. 


83i 


Deg. 


83i Deg. 



TRAVERSE TAULE. 



15 



o 
a 


6Deg. 


6k Deg. 


6'- I 

Lat. 


)eg 
Dep. 


6| Deg. 


m' 

i 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 
5.99 


50.72 


5.33 


50.70 


5 . 55 


50.67 


5.77 


50.65 


52 


51.72 


5.44 


51.69 


5.66 


51.67 


5.89 


51.64 


6.11 


52 


53 


52.71 


5.. 54 


52.08 


5.77 


.52.66 


6.00 


52.63 


6.23 


53 


54 


53.70 


5.64 


53.68 


5.88 


53.65 


6.11 


53.63 


6.35 


54 


65 


54.70 


5.75 


54.67 


5.99 


54.65 


6.23 


54.62 


6.46 


55 


56 


55.69 


5.85 


55.67 


6.10 


55.64 


6.34 


55.61 


6.. 58 


56 


57 


56.69 


5. 96 


56.66 


6.21 


56.63 


6.45 


56.60 


6.70 


57 


58 


57.68 


6.00 


57.66 


6.31 


57.63 


6-57 


57.60 


6.82 


58 


59 


58.68 


6.17 


58.65 


6.42 


58.62 


6.68 


58.59 


6.93 


59 


60 
61 


59.67 


6.27! 


59.64 


6.53 


59.61 


6-79 


59.. 58 


7.05 


60 
61 


60.67 


6.38 


60.64 


6.64 


60.61 


6.91 


60.58 


7.17 


62 


61.66 


6.48 1 


61.63 


6.75 


61.60 


7.02 


61.57 


7.29 


62 


63 


62.65 


6.59 ; 


62.63 


6.86 


62.60 


7.13 


62.56 


7.40 


63 


64 


63.65 


6.69! 


63.62 


6.97 


63.59 


7.25 


63.56 


7.52 


64 


65 


64.64 


6.79 ■ 


64.61 


7.08 


64.58 


7.36 


64.55 


7.64 


65 


66 


65.64 


6.90 i 


65.61 


7.19 


65.58 


7.47 


65.54 


7.76 


66 


67 


66.63 


7.00 : 


66.60 


7.29 


66.57 


7 58 


66.54 


7.88 


67 


68 


67.63 


7.11 


67.60 


7.40 


67.56 


7.70 


67.53 


7.99 


68 


69 


68.62 


7.21 


68 . 59 


7.51 


68.56 


7.81 


68.52 


8.11 


69 


70 
71 


69.62 


7.32 1 


69.58 


7.62 


69.55 


7.92 


69.51 


8.23 


70 

71 


70.61 


7.42 


70. 5S 


7.73 


70.54 


8.04 


70.51 


8.35 


72 


71.61 


7.53 


71.57 


7.84 


71.54 


8.15 


71.50 


8.46 


72 


73 


72.60 


7.63 


72.57 


7.95 


72.53 


8.26 


72.49 


8.58 


73 


74 


73.59 


7.74 


73.56 


8.06 


73.52 


8.38 


73.49 


8.70 


74 


75 


74.59 


7.841 


74.55 


8.17 


74.52 


8.49 


i 74.48 


8.82 


75 


76 


75.58 


7.94 


75.. 55 


8.27 


75.51 


8.60 


75.47 


8.93 


76 


77 


76.58 


8.05 


76.54 


8.38 


76.51 


8.72 


[76.47 


9.05 


77 


78 


77.57 


8.15 


77.54 


8.49 


77.50 


8.83 


77.46 


9.17 


78 


79 


78.57 


8.26 i 


78.53 


8.60 


78.49 


8.94 


78.45 


9.29 


79 


80 
81 


79.56 


8.36 


79.. 53 


8.71 


79.49 


9.06 


79.45 


9.40 


80 
81 


80.56 


8.47 


80.52 


8.82 


80.48 


9.17 


80.44 


9.52 


82 


81.55 


8.57 


81.51 


8.93 


81.47 


9.28 


81.43 


9.64 


82 


83 


82.55 


8.68 


82.51 


9.04 


82.47 


9.40 


82.42 


9.76 


83 


84 


83.54 


8.78 


83.50 


9.14 


83.46 


9.51 


83.42 


9.87 


84 


85 


84.53 


8.88! 


84.50 


9.25 


84.45 


9.62 


184.41 


9.99 


85 


86 


85.53 


8.99 1 


85.49 


9.36 


85.45 


9.74 


1 85.40 


10.11 


86 


87 


86.52 


9.09 


86.48 


9.47 


86.44 


9.85 


86.40 


10.23 


87 


88 


87.52 


9.20 


87.48 


9.58 


87.43 


9.96 


87.39 


10.34 


88 


89 


88.51 


9.30 


88.47 


9.69 


88.43 


10.08 


88.38 


10.46 


89 


90 
91 


89.51 


9.41 


89.47 


9.80 


.89.42 


10.19 


89.38 


10.58 


90 
91 


90.50 


9.51 


90.46 


9.91 


90.42 


10.30 


90.37 


10.70 


92 


91.50 


9.62 1 


91.45 


10.02 


91.41 


10.41 


91.36 


10.81 


92 


93 


92.49 


9.72 1 


92.45 


10.12 


92.40 


10.53 


92.36 


10.93 


93 


94 


93.49 


9.83 


93.44 


10.23 


93.40 


10.64 


93.35 


11.05 


94 


95 


94.48 


9.93 


94.44 


10.34 


94.39 


10.75 


94,34 


11.17 


95 


96 


95.47 


10.03 


95.43 


10.45 


95.38 


10.87 


95.33 


11.28 


96 


97 


96.47 


10.14 


96.42 


10.56 


96,38 


10.98 


96.33 


11.40 


97 


98 


97.46 


10.24 


97,42 


10.67 


97.37 


11.09 


97.32 


11.52 


98 


99 


98.46 


10.35 


98.41 


10.78 


98.36 


11.21 


98.31 


11.64 


99 


100 

1 


99.45 


10.45 


99.41 


10.89 


99.36 


11.32 


99.31 


11.75 


100 

i 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




84 1 


3eg. 


831 Deg. 


83i 


Deg. 


83iDeg. 



16 



TRAVERSE TABLE- 



f 

o 

? 

1 


7Deg. 


TiOeg. 


n Deg. 

1 


7^ Deg. 


c 

a: 

1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat 


Dep. 


Lat. 


Dep. 


0.99 


0.12i 


0.99 


0.13 


0.99 


0.13 


0.99 


0.13 


1 


2 


1.99 


0.24 


1.98 


0.25 


1.98 


0.20 ; 


1.98 


0.27 


2 


3 


2.98 


0.37i 


2.98 


0.38 


2.97 


0.39 1 


2.97 


0.40 


3 


4 


3.97 


0.49! 


3.97 


0.50 


3.97 


0.52 


3.96 


0.54 


4 


5 


4.96 


0.61 


4.96 


0.63 


4.96 


0.65 


4.95 


0.67 


5 


6 


5.96 


0.73 


5.95 


0.76 


5.95 


0.78 


5.95 


0.81 


6 


7 


6.95 


0.85 


6.94 


0.88 


6.94 


0.91 


6.94 


0.94 


7 


8 


7.94 


0.971 


7.94 


1. 01 


7.93 


1.04 


7.93 


1.08 


8 


9 


8.93 


1.10 


8.93 


1.14 


8.92 


1.17 


8.92 


1.21 


9 


10 
11 


9.93 


1.22 


9.92 


1.26 


9.91 


1.31 


9.91 


1.35 


10 


10.92 


1.34 


10.91 


1.39 


10.91 


1.44 


10.90 


1.48 1 


11 


12 


11.91 


1.46 


11.90 


1.51 


11.90 


1.57 


11.89 


1.62 12| 


18 


12.90 


1.58 1 


12.90 


1.64 


12.89 


1.70 


12.88 


1.75 


13 


14 


13.90 


1.71 


ia.89 


1.77 


13.88 


1.83 


13.87 


1.89 


14 


15 


14.89 


1.83 


14.88 


1.89 


14.87 


1.96 


14.86 


2.02 


15 


16 


15.88 


1.95 


15.87 


2.02 


15.86 


2.09 


15.85 


2.16 


16 


17 


16.87 


2.07 


16.86 


2.15 


16.85 


2.22 


16.84 


2.29 


17 


IS 


17.87 


2.19 


17.86 


2.27 


17.85 


2.35 1 


17.84 


2.43 


18 


19 


18.86 


2.32 


18.85 


2.40 


18.84 


2.48 ' 


18.83 


2.56 


19 


20 
21 


19.85 
20.84 


2.44 


19.84 


2.52 


19.83 


2.61 


19.82 


2.70 


20 


2.56 


20.83 


2.65 


20.82 


2.74 


20.81 


2.83 


21 


22 


21.84 


2.68; 


21.82 


2.78 


21.81 


2.87 


21.80 


2.97 


22 


23 


22.83 


2.80 


22.82 


2.90 


22.80 


3.00 


22.79 


3.10 


23 


24 


23.82 


2.92 


23.81 


3.03 


23.79 


3.13 


23.78 


3.24 


24 


25 


24.81 


3.05 


24.80 


3.15 


24.79 


3.26 


24.77 


3.37 


25 


26 


25.81 


3.17 


25.79 


3.28 


25.78 


3.39 


25.76 


3.51 


26 


27 


2e.80 


3.29 


26.78 


3.41 


26.77 


3.52 


26.75 


3.64 


27 


28 


27.79 


3.41 


27.78 


3.53 


27.76 


3.65 


27.74 i 3.78 


28 


29 


28.78 


8.53 


28.77 


3.66 


28.75 


3.79 


1 28.74 1 3.91 


29 


30 


29.78 


3.06 


29.76 


3.79 


29.74 


3.92 


j 29.73 1 4.05 


30; 


31 


30.77 


3.78 


30.75 


3.91 


30.73 


4.05 


30.72 i 4.18 i 31 1 


32 


31.76 


3.90 


31.74 


4.04 


31.73 


4.18 


31.71 


4.82 


32 


33 


32.75 


4.02 


32.74 


4.16 


32.72 


4.31 


32.70 


4.45 


33 


34 


33.75 


4.14 


33.73 


4.29 


33.71 


4.44 


33.69 


4.58 


34 


35 


34.74 


4.27 


34.72 


4.42 


34.70 


4.57 


34.68 


4.72 


35 


36 


35.73 


4.39 


35.71 


4.54 


35.69 


4.70 


35.67 


4.85 


36 


37 


36.72 


4.51 


36.70 


4.67 


36.68 


4.83 


36.66 


4.99 


1 37 


38 


37.72 


4.63 


37.70 


4.80 


37.67 


4.96 


37.65 


5.12 


38 


39 


38.71 


4.75 


38.69 


4.92 


38.67 


5.09 


138.64 


6.26 


39 


40 
41 


39.70 


4.87 


39.68 


5.05 


39.66 


5.22 


39.63 


5.39 


40 

41 


40.70 


5.00 


40.67 


5.17 


40.65 


5.35 


40.63 j 5.53 


4-?. 


41.69 


5.12 


41.66 


5.30 


41.64 


5.48 


41.62 5.66 


42 


43 


42.68 


5.24 


42.66 


5.43 


42.63 


5.61 


42.61 5.80 


43 


44 


43.67 


5.36 


43.65 


5.55 


43.62 


5.74 


43.60 5.93 


1 44 


45 


44.67 


5.48 


44.64 


5.68 


44.62 


5.87 


44.59 1 6.0' 45 


46 


45.66 


5.61 


45.63 


5.81 


45.61 


6.00 


45.58 6.20 1 46 


47 


46.65 


5.73 


46.62 


5.93 


46.60 


6.13 


46.57 1 6.34! 47 


48 


47.64 


5.85 


47.62 


6.06 


47.59 


6.27 


47. .56 6.47 48 


49 ! 48.63 


5.97 


48.61 


6.18 


48.58 


6.40 


48.55 6.61 1 49 


50 1 49.63 


6.09 


49.60 


6.31 


49.57 


6.53 


49.54! 6.74 1 50 


c 

c 


Dep. 


Lat. 


rfep. 


Lat. 


Dep. 

82| 


Lat. 
Deg. 


Dep. 


1 Lat. 


1 i 


83 


Deg. 


821 


Deg. 


S2i Deg. 


! 1 



TRAVERSE TABLE. 



17 





i 

51 


7Deg. 


1i Deg. 


7^ Deg. 


71 Deg. 


a 

03 

? 
61 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




50.62 


6.22 


50.59 


6.44 


60.56 


6.66 


.50.53 


6.88 




52 


51.61 


6.34 


51.58 


6.56 


51.56 


6.79 


51.. 53 


7.01 


62 




53 


52.60 


6.46 


52.58 


6.69 


62 . 55 


6.92 


52.52 


7.15 


53 




54 


53.60 


6.68 


63.57 


6.81 


63.54 


7.05 


.53.51 


7.28 


64 




55 


54.69 


6.70 


54.56 


6.94 


64.53 


7.18 


64.50 


7.42 


55 




56 


55.58 


6.82 


55.55 


7.07 


55.52 


7.31 


56.49 


7.65 


66 




57 


56.58 


6.95 


56.64 


7.19 


56.61 


7.44 


56.48 


7.69 


57 




58 


57.57 


7.07 


57.54 


7.32 


57.50 


7.67 


57.47 


7.82 


58 




59 


58.56 


7.19 


58.53 


7.45 


68.60 


7.70 


58.46 


7.96 


59 




60 
61 


59.. 55 


7.31 
7.43 


59.52 


7.57 


59.49 


7.83 


59.45 


8.09 


60 
61 




60.55 


60.51 


7.70 


60.48 


7.96 


60.44 


8.23 




62 


61.54 


7.. 56 


61.60 


7.82 


61.47 


8.09 


61.43 


8.36 


62 




63 


62.. 53 


7.68 


62.. 50 


7.95 


62.46 


8.22 


62.42 


8.60 


63 




64 


63.52 


7.80 


63.49 


8.08 


63.45 


8.35 


63.42 


8.63 


64 




65 


64.52 


7.92 


64.48 


8.20 


64.44 


8.48 


64.41 


8.77 


65 




66 


65.51 


8.04 


05.47 


8., 33 


65.44 


8.61 


65.40 


8.90 


66 




67 


06 .50 


8.17 


66.46 


8.46 


66.43 


8.75 


66.39 


9.04 


67 




68 


67.49 


8.29 


67.46 


8.. 58 


67.42 


8.88 


67.38 


9.17 


68 




69 


68.49 


8.41 


68.45 


8.71 


68.41 


9.01 


68.37 


9.30 


69 




70 
71 


69.48 


8.53 


69.44 


8.83 


69.40 


9.14 


69.36 


9.44 


70 
71 




70.47 


8.65 


70.43 


8.96 


70.39 


9.27 


70.35 


9.57 




72 


71.46 


8.77 


71.42 


9.09 


71.38 


9.40 


71.. 34 


9.71 


72 




73 


72.46 


8.90 


72.42 


9.21 


72 38 


9.. 53 


72.33 


9.84 


73 




74 


73.45 


9.02 


73.41 


9.34 


73.37 


9.66 


73.32 


9.98 


74 




75 


74.44 


9.14 


74.40 


9.46 


74.36 


9.79 


74.31 


10.11 


75 




76 


75.43 


9.26 


75.39 


9.59 


75.35 


9.92 


75.31 


10.25 


76 




77 


76.43 


9.38 


76.38 


9.72 


76.34 


10.06 


76.30 


10.38 


77 




78 


77.42 


9.51 


77.38 


9.84 


77.33 


10.18 


77.29 


10.52 


78 




79 


78.41 


9.63 


78.37 


9.97 


78.32 


10.31 


78.28 


10.65 


79 




80 
81 


79.40 


9.75 


79.36 


10.10 


79.32 


10.44 


79.27 


10.79 


80 
81 




80.40 


9.87 


80.35 


10.22 


80.31 


10.57 


80.26 


10.92 




82 


81.39 


9.99 


81. .34 


10.35 


81.30 


10.70 


81.25 


11.06 


82 




83 


82.38 


10.12 


82.34 


10.47 


82.29 


10.83 


82.24 


11.19 


83 




84 


83.37 


10.24 


83.33 


10.60 


83.28 


10.96 


83.23 


11.33 


84 




85 


84.37 


10.36 


84.32 


10.73 


84.27 


11.09 


84.22 


11.46 


85 




86 


85.36 


10.48 


85.31 


10.85 


85.26 


11.23 


85.21 


11.60 


86 




87 


86.35 


10.60 


86.30 


10.98 


86.26 


11.36 


86.21 


11.73 


87 




88 


87.34 


10.72 


87.30 


11.11 


87.25 


11.49 


87.20 


11.87 


88 




89 


88.34 


10.85 


88.29 


11.23 


88.24 


11.62 


88.19 


12.00 


89 




90 
91 


89.33 


10.97 


1 89.28 


11.36 


89.23 


11.76 


89.18 


12.14 


90 
91 




90.32 


11.09 


90.27 


11.48 


90.22 


11.88 


90.17 


12.27 




92 


91.31 


11.21 


91.26 


11.61 


91.21 


12.01 


91.16 


12.41 


92 




93 


92.31 


11.33 


92.26 


11.74 


92.20 


12.14 


92.15 


12.54 


93 




94 


93.30 


11.46 


93.25 


11.86 


93.20 


12.27 


93.14 


12.68 


94 




95 


94.2!) 


11.58 


94.24 


11.99 


94.19 


12.40 


94.13 


12.81 


95 




96 


95.28 


1 1 . 70 


96.23 


12.12 


95.18 


12.53 


95.12 


12.95 


96 




97 


96.28 


11.82 


96.22 


12.24 


96.17 


12.66 


96.11 


13.08 


97 




98 


97.27 


11.94 


97.22 


12.37 


97.16 


12.79 


97.10 


13.22 


98 




99 


98.26 


12.07 


98.21 


12.49 


98.15 


12.92 


98.10 


13.35 


99 




100 

i 

3 


99.25 


12.19 


99.20 


12.62 


! 99.14 


13.05 


99.09 


13.49 


100 

Q 




Dep. 


Lat. 


Dep. 


Lat. 


1 Dep. 


Lat. 


Dep. 


Lat. 




831 


3eg. 


m 


Deg. 


1 

821 


Deg. 


m Deg. 



18 



TRAVERSE TABLE. 



p 

o 

f 


8Deg. 


8i Deg. 


8^ Deg. 


8| Deg. 


o 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.99 


0.14 


0.99 


0.14 


0.99 


0.15 


0.99 


0.15 


1 


2 


1.98 


0.28 


1.98 


0.29 


1.98 


0.30 


1.98 


0.30 


2 


3 


2.97 


0.42 


2.97 


0.43 


2.97 


0.44 


2.97 


0.46 


3 


4 


3.96 


0.56 


3.96 


0.57 


3.96 


0.59 


3.95 


0.61 


4 


5 


4.95 


0.70 


4.95 


0.72 


4.95 


0.74 


4.94 


0.76 


5 


6 


5.94 


0.84 


5.94 


0.86 


5.93 


0.89 


5.93 


0.91 


6 


7 


6.93 


0.97 


6.93 


1.00 


6.92 


1.03 


6.92 


1.06 


7 


8 


7.92 


1.11 


7.92 


1.15 


7.91 


1.18 


7.91 


1.22 


8 


9 


8.91 


1.25 


8.91 


1.29 


8.90 


1.33 


8.90 


1.37 


9 


10 

11 


9.90 


1.39 


9.90 


1.43 


9.89 


1.48 


9.88 


1..52 


10 
11 


10.89 


1.53 


\0.89 


1.58 


10.88 


1.63 


10.87 


1.67 


12 


11.88 


1.67 


11.88 


1.72 


11.87 


1.77 


11.86 


1.83 


12 


13 


12.87 


1.81 


12.87 


1.87 


12.86 


1.92 


12.85 


1.98 


13 


14 


13.86 


1.95 


13.86 


2.01 


13.85 


2.07 


13.84 


2.13 


14 


15 


14.85 


2.09 


14.85 


2.15 


14.84 


2.22 


14.83 


2.28 


15 


16 


15.84 


2.23 


15.84 


2.30 


15.82 


2.36 


15.81 


2.43 


16 


17 


16.83 


2.37 


16.83 


2.44 


16.81 


2.51 


16.80 


2.59 


17 


18 


17.82 


2.51 


17.81 


2.58 


17.80 


2.66 


17.79 


2.74 


18 


19 


18.82 


2.64 


18.80 


2.73 


18.79 


2.81 


18.78 


2.89 


19 


20 

21 


19.81 


2.78 


19.79 


2.87 


19.78 


2.96 


19.77 


3.04 


20 


20.80 


2.92 


20.78 


3.01 


20.77 


3.10 


20.76 


3.19 


21 


22 


21.79 


3.06 


21.77 


3.16 


21.76 


3.25 


21.74 


3.35 


22 


23 


22.78 


3.20 


22.76 


3.30 


22.75 


3.40 


22.73 


3.50 


23 


' 24 


23.77 


3.34 


23.75 


3.44 


23.74 


3.55 


23.72 


3.65 


24 


25 


24.76 


3.48 


24.74 


3.59 


24.73 


3.70 


24.71 


3.80 


25 


26 


25.75 


3.62 


25.73 


3.73 


25.71 


3.84 


25.70 


3.96 


26 


27 


26.74 


3.76 


26.72 


3.87 


26.70 


3.99 


26.69 


4.11 


27 


28 


27.73 


3.90 


27.71 


4.02 


27.69 


4.14 


27.67 


4.26 


28 


29 


28.72 


4.04 


28.70 


4.16 


28.68 


4.29 


28.66 


4.41 


29 


30 


29.71 


4.18 


29.69 


4.30 


29.67 


4.43 


29.65 


4.56 


30 


31 


30.70 


4.31 


30.68 


4.45 


30.66 


4.58 


30.64 


4.72 


31 


32 


31.69 


4.45 


31.67 


4.59 


31.65 


4.73 


31.63 


4.87 


32 


33 32.68 


4.59 


32.66 


4.74 


32.64 


4.88 


32.62 


5.02 


33 


34 


33.67 


4.73 


33.65 


4.88 


33.63 


5.03 


33.60 


5.17 


34 


35 


34.66 


4.87 


34.64 


5.02 


34.62 


5.17 


34.59 


5 . 32 


35 


36 


35.65 


5.01 


35.63 


5.17 


35.00 


5.32 


35.. 58 


5.48 


36 


37 


36.64 


5.15 


36.62 


5.31 


36.59 


5.47 


36 . 57 


5.63 


37 


38 


37.63 


5.29 


37.61 


5.45 


37.58 


5.62 


37.56 


5.78 


38 


39 


38.62 


5.43 


38.60 


5.60 


38.57 


5.76 


38.55 


5.93 


39 


40 


39.61 


5.57 


39.59 


5.74 


39.56 


5.91 


39.53 


6.08 


40 


'41 


40.60 


5.71 


40.58 


5.88 


40.55 


6.06 


40.52 


6.24 


41 


42 


41.59 


5.85 


41.57 


6.03 


41.54 


6.21 


41.51 


6.39 


42 


43 


42.. 58 


5.98 


42.56 


6.17 


42.53 


6.36 


42.50 


6.54 


43 


44 


43.57 


6.12 


43.54 


6.31 


43.52 


6.50 


43.49 


6.69 


44 


45 


44.56 


6.26 


44.53 


6.46 


44.51 


6.65 


44.48 


6.85 


45 


46 


45.55 


6.40 


45.52 


6.60 


45.49 


6.80 


145.46 


7.00 


46 


47 


46.54 


6.54 


46.51 


6.74 


46.48 


6.95 


146.45 


7.15 


47 


48 


47.53 


6.68 


47.50 


6.89 


47.47 


7.09 


47.44 


7.30 


48 


49 


48.52 


6.82 


48.49 


7.03 


48.46 


7.24 


48.43 


7.45 


49 


50 


49.51 


6.96 


49.48 


7.17 


49.45 


7.39 


49.42 


7.61 


50 


6 
o 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


! Dep. 

i 


Lat. 


Dep. 


Lat. 


1 

P 


82 1 


Deg. 


m 


Deg. 


i '"' 


Deg. 


8U Deg. 



TRAVERSE TABLE. 



19 



1 

51 


8 Deg. 


H Deg. 


8i Deg. 


BJ Deg. 


I' 

s 
? 
51 


Lat. 


Dep. 


Lat. 
50.47 


Dep. 
7.32 


Lat. 


Dep. 1 

1 


Lat. 


Dep. 


50.50 


7.10 


50.44 


7.54 1 


50.41 


7.76 


&2 


51.49 


7.24 


51.46 


7.46 


51.43 


7.69 


51.39 


7.91 


52 


53 


52.48 


7.38 


52.45 


7.61 


52.42 


7.83 


62.38 


8.06 


53 


54 


53.47 


7.52 


53.44 


7.75 


53.41 


7.98 


63.37 


8.21 


54 


55 


54.46 


7.65 


54.43 


7.89 


54.40 


8.13 


54.36 


8.37 


55 


56 


55.46 


7.79 


55.42 


8.04 


55.38 


8.28 


55.35 


8.52 


56 


57 


56.45 


7.93 


56.41 


8.18 


56.37 


8.43 


.56.34 


8.67 


57 


58 


57.44 


8.07 


57.40 


8.32 


57.36 


8.57 


57.32 


8.82 


58 


59 


58.43 


8.21 


58.39 


8.47 


58.35 


8.72 


58.31 


8.98 


59 


60 
61 


59.42 


8.35 


59.38 


8.61 


59.34 


8.87 


59.30 


9.13 

9.28 


60 
61 


60.41 


8.49 


60.37 


8.75 


60.33 


9.02 


60.29 


62 


61.40 


8.63 


61.36 


8.90 


61.32 


9.16 


61.28 


9.43 


62 


63 


62.39 


8.77 


62.35 


9.04 


62.31 


9.31 


62.27 


9.58 


63 


64 


63.38 


8.91 


63.34 


9.18 


63.30 


9.46 


63.26 


9.74 


64 


65 


64.37 


9.05 


64.33 


9.33 


64.29 


9.61 


64.24 


9.89 


• 65 


66 


65.36 


9.19 


65.32 


9.47 


65.28 


9.76 


65.23 


10.04 


66 


67 


66.35 


9.32 


66.31 


9.61 


66.26 


9.90 


66.22 


10.19 


67 


68 


67.34 


9.46 


67.30 


9.76 


67.25 


10.05 


67.21 


10.34 


68 


69 


68.33 


9.60 


68.29 


9.90 


68.24 


10.20 


68.20 


10.50 


69 


70 
71 


69.32 


9.74 


69.28 


10.04 


69.23 


10.35 


69.19 


10.65 


70 


70.31 


9.88 


70.27 


10.19 


70.22 


10.49 


70.17 


10.80 


72 


71.30 


10.02 


71.25 


10.33 


71.21 


10.64 


71.16 


10.95 


72 


73 


72.29 


10.16 


72.24 


10.47 


72.20 


10.79 


72.15 


11.10 


73 


74 


73.28 


10.30 


73.23 


10.62 


73.19 


10.94 


73.14 


11.26 


74 


75 


74.27 


10.44 


74.22 


10.76 


74.18 


11.09 


74.13 


11.41 


75 


76 


75.26 


10.58 


75.21 


10.91 


75.17 


11.23 


75.12 


11.56 


76 


77 


76.25 


10.72 


76.20 


11.05 


76.15 


11.38 


76.10 


11.71 


77 


78 


77.24 


10.86 


77.19 


11.19 


77.14 


11.53 


77.09 


11.87 


78 


79 


78.23 


10.99 


78.18 


11. .34 


78.13 


11.68 


78.08 


12.02 


79 


80 
81 


79.22 


11.13 


79.17 


11.48 


79.12 


11.82 


79.07 


12.17 


80 

81 


80.21 


11.27 


80.16 


11.62 


80.11 


11.97 


80.06 


12.32 


82 


81.20 


11.41 


81.15 


11.77 


81.10 


12.12 


81.05 


12.47 


82 


83 


82.19 


11.55 


82.14 


11.91 


82.09 


12.27 


82.03 


12.63 


83 


84 


83.18 


11.69 


83.13 


12.05 


83.08 


12.42 


83.02 


12.78 


84 


85 


84.17 


11.83 


84.12 


12.20 


84.07 


12.56 


84.01 


12.93 


85 


86 


85.16 


11.97 


185.11 


12.34 


85.06 


12.71 


85.00 


13.08 


86 


87 


86.15 


12.11 


186.10 


12.48 


86.04 


12.86 


85.99 


13»23 


87 


88 


87.14 


12.25 


187.09 


12.63 


87.03 


13.01 


86.98 


13.39 


88 


89 


88.13 


12.39 


188.08 


12.77 


88.02 


13.16 


87.96 


13.. 54 


89 


90 
31 


89.12 


12.53 


,89.07 


12.91 


89.01 


13. .30 


88.95 


13.69 


90 
9f 


90.11 


12.66 


: 90.06 


13.06 


90.00 


13.45 


89.94 


13.84 


92 


91.10 


12.80 


; 91.05 


13.20 


90.99 


13.60 


90.93 


14.00 


92 


93 


92.09 


12.94 


192.04 


13.34 


91.98 


13.75 


91.92 


14.15 


93 


94 


93.09 


13.08 


93.03 


13.49 


92.97 


13.89 


92.91 


14.30 


94 


96 


94.08 


13.22 


94.02 


13.63 


93.96 


14.04 


93.89 


14.45 


95 


96 


95.07 


13.36 


95.01 


13.78 


94.95 


14.19 


94.88 


14.60 


96 


97 


96.06 


13.50 


96.00 


13.92 


95.93 


14.34 


95.87 


14.76 


97 


98 


97.05 


13.64 


96.99 


14.06 


96.92 


14.49 


96.86 


14.91 


98 


99 


98.04 


13.78 


97.98 


14.21 


97.91 


14.63 


197.85 


15.06 


99 


100 

s 

Q 


99.03 


13.92 


98.97 


14.35 


98.90 


14.78 


98.84 


15.21 


100 

i 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


82 1 


Deg. 


01 1 Deg. 


81i Deg. 


8U Deg. 



20 



TRAVERSE TABLE. 



5" 
§ 

1 


9Deg. 


9k Deg. 


H 


Deg. 


9! 


Deg. 


C 
9 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




0.99 


0.16 


0.99 


0.16 


0.99 


0.17 


0.99 


0.17 


1 




2 


1.98 


0.31 


1.97 


0.32 


1.97 


0.33 


1.97 


0.34 


2 




3 


2.96 


0.47 


2.96 


0.48 


2.96 


0.50 


2.96 


0.51 


3 




4 


3.95 


0.63 


3.95 


0.64 


3.95 


0.66 


3.94 


0.68 


4 




T) 


4.94 


0.78 


4.93 


0.80 


4.93 


0.83 


4.93 


0.85 


5 




6 


5.93 


0.94 


5.92 


0.96 


5.92 


0.99 


5.91 


1.02 


6 




7 


6.91 


1.10 


0.91 


1.13 


6.90 


1.16 


6.90 


1.19 


7 




8 


7.90 


1.25 


7.90 


1.29 


7.89 


1.32 


7.88 


1.35 


8 




9 


8.89 


1.41 


8.88 


1.45 


8.88 


1.49 


8.87 


1.52 


9 




10 
11 


9.88 


1.56 


9.87 


1.61 


9.86 


1.65 


9.86 


1.69 


10 
11 




10.86 


1.72 


10.86 


1.77 


10.85 


1.82 


10.84 


1.86 




12 


11.85 


1.88 


11.84 


1.93 


11.84 


1.98 


11.83 


2.03 


12 




13 


12.84 


2.03 


12.83 


2.09 


12.82 


2.15 


12.81 


2.20 


13 




14 


13.83 


2.19 


13.83 


2.25 


13.81 


2.31 


13.80 


2.37 


14 




15^ 


14.82 


2.35 


14.80 


2.41 


14.79 


2.48 


14.78 


2.54 


15 




16 


15.80 


2.50 


15.79 


2.57 


15.78 


2.64 


15.77 


2.71 


16 




17 


16.79 


2.66 


16.78 


2.73 


16.77 


2.81 


16.75 


2.88 


17 




18 


17.78 


2.82 


17.77 


2.89 


17.75 


2.97 


17.74 


3.05 


18 




19 


18.77 


2.97 


18.75 


3.05 


18.74 


3.14 


18.73 


3.22 


19 




20 
21 


19.75 


3.13 


19.74 


3.21 


19.73 


3.30 


19.71 


3.39 
3.. 56 


20 

21 




20.74 


3.29 


20.73 


3.38 


20.71 


3.47 


20.70 




22 


21.73 


3.44 


21.71 


3.54 


21.70 


3.63 


21.68 


3.73 


22 




23 


22.72 


3.60 


22.70 


3.70 


22.68 


3.80 


22.67 


3.90 


23 




24 


23.70 


3.75 


23.69 


3.86 


23.67 


3.96 


23.65 


4.06 


24 




25 


24.69 


3.91 


24.67 


4.02 


24.66 


4.13 


24.64 


4.23 


25 




26 


25.68 


4.07 


25.66 


4.18 


25.64 


4.29 


25.62 


4.40 


26 




27 


26.67 


4.22 


26.65 


4.34 


26.63 


4.46 


26.61 


4.57 


27 




28 


27.66 


4.38 


27.64 


4.50 


27.62 


4.62 


27.60 


4.74 


28 




29 


28.64 


4.54 


28.62 


4.66 


28.60 


4.79 


28.58 


4.91 


29 




30 
31 


29.63 


4.69 


29.61 


4.82 


29.59 


4.95 


29.57 


5.08 


30 




30.62 


4.85 


30.60 


4.98 


30.57 


5.12 


30.55 


5.25 


31 




3^ 


31.61 


5.01 


31.58 


5.14 


31.56 


5.28 


31.54 


5.42 


32 




33 


32.59 


5.16 


32.57 


5.30 


32.55 


5.45 


32.52 


5.59 


33 




34 


33.58 


5.32 


33.56 


5.47 


33.53 


5.61 


33.51 


5.76 


34 




35 


34.57 


5.48 


34.54 


5.63 


34.52 


5.78 


34.49 


5.93 


35 




36 


35.56 


5.63 


35.53 


5.79 


35.51 


5.94 


35.48 


6.10 


36 




37 


36,54 


5.79 


36.52 


5.95 


36.49 


6.11 


36.47 


6.27 


37 




38 


37.53 


5.94 


37.51 


6.11 


37.48 


6.27 


37.45 


6.44 


38 




39 


38.52 


6.10 


38.49 


6.27 


38.47 


6.44 


38.44 


6.60 


39 




40 
41 


39.51 


6.26 


39.48 


6.43 


39.45 


6.60 


39.42 


6.77 


40 
41 




40.50 


6.41 


40.47 


6.59 


40.44 


6.77 


40.41 


6.94 




49, 


41.48 


6.57 


41.45 


6.75 


41.42 


6.92 


41.39 


7.11 


42 




43 


42.47 


6.73 


42.44 


6.91 


42.41 


7.10 


42.38 


7.28 


43 




44 


43.46 


6.88 


43.43 


7.07 


43.40 


7.26 


43.36 


7.45 


44 




45 


44.45 


7.04 


44.41 


7.23 


44.38 


7.43 


44.35 


7.62 


45 




46 


45.43 


7.20 


45.40 


7.39 


45.37 


7.59 


45.34 


7.79 


46 




47 


46.42 


7.35 


46.39 


7.55 


46.36 


7.76 


46.32 


7.96 


47 




48 


47.41 


7.51 


47.38 


7.72 


47.34 


7.92 


47.31 


8.13 


48 




49 


48.40 


7.67 


48.36 


7.88 


48.33 


8.09 


48.29 


8.30 


49 




50 


49.38 


7.82 


49.35 


8.04 


49.32 


8.25 


49.28 


8.47 


50 




8 
S 

.2 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


8 

c 

5 




81 Deg. 


801 ] 


Deg. 


801 


Deg. 


80i Deg. 





TRAVERSE TABLE. 



21 



1 


; 9 Deg. 


9i Deg. 


H Deg. 


9k Deg. 


~51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


51 


50.37 


7.98 


50.. 34 


8.20 


50.30 


8.42 


50.26 


8.64 


52 


61.36 


8.13 


51.32 


8.36 


61.29 


8.58 


51.26 


8.81 


52 


63 


52.35 


8.29 


52.31 


8.52 


62.27 


8.75 


52.23 


8.98 


53 


54 


53.34 


8.46 


53.30 


8.68 


63.26 


8.91 


53.22 


9.14 


54 


55 


54.32 


8.60 


64.28 


8.84 


64.25 


9.08 


64.21 


9.31 


55 


56 


55.31 


8.76 


55.27 


9.00 


65.23 


9.24 


55.19 


9.48 


56 


57 


56.30 


8.92 


66.26 


9.16 


56.22 


9.41 


66.18 


9.66 


57 


68 


57.29 


9.07 


57.26 


9.32 


67.20 


9.57 


67.16 


9.82 


58 


59 


58.27 


9.23 


58.23 


9.48 


68.19 


9.74 


58.15 


9.99 


59 


60 


59.26 


9.39 


69.22 


9.64 


59.18 


9.90 


69.13 


10.16 
10.33 


60 
6) 


61 


60.25 


9.. 54 


60.21 


9.81 


60.16 


10.07 


60.12 


02 


61.24 


9.70 


61.19 


9.97 


61.16 


10.23 


61.10 


10.60 


62 


63 


62.22 


9.86 


62.18 


10.13 


62.14 


10.40 


62.09 


10.67 


63 


64 


63.21 


10.01 


63.17 


10.29 


63.12 


10.56 


63.08 


10.84 


64 


65 


64.20 


10.17 


64.16 


10.45 


64.11 


10.73 


64.06 


11.01 


65 


66 


65.19 


10.32 


66.14 


10.61 


65.09 


10.89 


66.05 


11.18 


66 


67 


66.18 


10.48 


66.13 


10.77 


66.08 


11.06 


66.03 


11.35 


■ 67 


68 


67.16 


10.64 


67.12 


10.93 


67.07 


11.22 


67.02 


11.52 


68 


69 


68.16 


10.79 


68.10 


11.09 


68.06 


11.39 


68.00 


11.69 


69 


70 


69.14 


10.95 


69.09 


11.25 


69.04 


11.56 


68.99 


11.86 
12.02 


70 
71 


71 


70.13 


11.11 


70.08 


11.41 


70.03 


11.72 


69.97 


72 


71.11 


11.26 


71.06 


11.67 


71.01 


11.88 


70.96 


12.19 


72 


73 


72.10 


11.42 


72.05 


11.73 


72.00 


12.06 


71.96 


12.36 


73 


74 


73.09 


11.58 


73.04 


11.89 


72.99 


12.21 


72.93 


12.53 


74 


75 


74.08 


11.73 


74.02 


12.06 


73.97 


12.38 


73.92 


12.70 


76 


76 


76.06 


11.89 


76.01 


12.22 


74.96 


12.54 


74.90 


12.87 


76 


77 


76.06 


12.05 


76.00 


12.38 


75.94 


12.71 


75.89 


13.04 


77 


78 


77.04 


12.20 


76.99 


12.. 54 


76.93 


12.87 


76.87 


13.21 


78 


79 


78.03 


12.36 


77.97 


12.70 


77.92 


13.04 


77.86 


13.38 


79 


80 


79.02 


12.51 


78.96 


12.86 
13.02 


78.90 


13.20 


78.84 


13.55 


8U 
81 


81 


80.00 


12.67 


79.95 


79.89 


13.37 


79.83 


13.72 


82 


80.99 


12.83 


80.93 


13.18 


80.88 


13.53 


80.82 


13.89 


82 


83 


81.98 


12.98 


81.92 


13.34 


81.86 


13.70 


81.80 


14.06 


83 


84 


82.97 


13.14 


82.91 


13.50 


82.85 


13.86 


82.79 


14.23 


84 


85 


83.95 


13.30 


83.89 


13.66 


83.83 


14.03 


83.77 


14.39 


86 


86 


84.94 


13.46 


84.88 


13.82 


84.82 


14.19 


84.76 


14.56 


86 


87 


86.93 


13.61 


85.87 


13.98 


86.81 


14.36 


85.74 


14.73 


87 


88 


86.92 


13.77 


86.86 


14.15 


86.79 


14.. 52 


86.73 


14.90 


88 


89 


87.90 


13.92 


87.84 


14.31 


87.78 


14.69 


1 87.71 


15.07 


89 


90 


88.89 


14.08 


88.83 


14.47 


88.77 


14.85 


88.70 


16.24 


90 
91 


91 


89.88 


14.24 


89.82 


14.63 


89.75 


15.02 


'89.69 


16.41 


92 


90.87 


14.39 


90.80 


14.79 


90.74 


15.18 


190.67 


16.58 


92 


93 


91.86 


14.66 


91.79 


14.95 


91.72 


16.36 


91.66 


16.75 


93 


94 


92.84 


14.70 


92.78 


15.11 


92.71 


16.61 


92.64 


15.92 


94 


95 


93.83 


14.86 


93.76 


15.27 


93.70 


15.68 


93.63 


16.09 


96 


96 


94.82 


15.02 


94.75 


16.43 


94.68 


15.84 


94.61 


16.26 


96 


97 


95.81 


15.17 


95.74 


16.59 


95.67 


16.01 


96.60 


16.43 


97 


98 


96.79 


15.33 


96.73 


15.76 


96.66 


16.17 


96.58 


16.60 


98 


99 


97.78 


15.49 


97.71 


16.91 


97.64 


16.34 


97.57 


16.77 


99 


100 


98.77 


15.64 


98.70 


16.07 


98.63 


16.50 


98.56 


16.93 


100 

o 

c 

rJ 


c 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 


81 Deg. 


801 Deg. 


80A Deg. 


80i Deg. 



n 



TRAVERSE TARLE. 





10 Deg. 


lOi Deg. 


m 


Deg. 


10| Deg. 


o 

9 

1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.98 


0.17 


0.98 


0.18 


0.98 


0.18 


0.98 


0.19 


2 


1.97 


0.35 


1.97 


0.30 


1.97 


0.36 


1.96 


0.37 


2 


3 


2.95 


0.52 


2.95 


0.53 


2.96 


0.55 


2.95 


0..56 


3 


4 


3.94 


0.69 


3.94 


0.71 


3.93 


0.73 


3.93 


0.75 


4 


5 


4.92 


0.87 


4.92 


0.89 


4.92 


0.91 


4.91 


0.93 


5 


6 


5.91 


1.04 


5.90 


1.07 


5.90 


1.09 


5.89 


],12 


6 


7 


6.89 


1.22 


6.89 


1.25 


6.88 


1.28 


6.88 


1.31 


X 
1 


8 


7.88 


1.39 


7.87 


1.42 


7.87 


1.46 


7.86 


1.49 


8 


9 


8.86 


1.56 


8.86 


1.60 


8.85 


1.64 


8.84 


1.68 


9 


10 
11 


9.85 


1.74 


9.84 


1.78 


9.83 


1.82 


9.82 


1.87 


10 
11 


10.83 


1.91 


10.82 


1.96 


10.82 


2.00 


10.81 


2.05 


12 


11.82 


2.08 


11.81 


2.14 


11.80 


2.19 


11.79 


2.24 


12 


13 


12.80 


2.26 


12.79 


2.31 


12.78 


2.37 


12.77 


2.42 


13 


14 


13.79 


2.43 


13.78 


2.49 


13.77 


2.55 


13.75 


2.61 


14 


15 


14.77 


2.60 


14.76 


2.67 


14.75 


2.73 


14.74 


2.80 


15 


16 


15.76 


2.78 


15.74 


2.85 


15.73 


2.92 


15.72 


2.98 


16 


17 


16.74 


2.95 


16.73 


3.03 


16.72 


3.10 


16.70 


3.]7 


17 


18 17.73 


3.13 


17.71 


3.20 


17.70 


3.28 


17.68 


3.36 


18 


19 


18.71 


3.30 


18.70 


3.38 


18.68 


3.46 


18.67 


3.54 


19 


20 
21 


19.70 


3.47 


19.68 


3.56 


19.67 


3.64 


19.65 


3.73 


20 
21 


20.68 


3.65 


20.66 


3.74 


20.65 


3.83 


20.63 


3.92 


22 


21.67 


3.82 


21.65 


3.91 


21.63 


4.01 


21.61 


4.10 


22 


23 


22.65 


3.99 


22.63 


4.09 


22.61 


4.19 


22.60 


4.29 


23 


24 


23.64 


4.17J 


23.62 


4.27 


23.60 


4.37 


23.. 58 


4.48 


24 


25 


24.62 


4.34 


24.60 


4.45 


24.58 


4.56 


24.56 


4.66 


25 


26 


25.61 


4.51 


25.59 


4.63 


25.56 


4.74 


25.. 54 


4.85 


26 


27 


26.59 


4.69 


26.57 


4.80 


26.55 


4.92 


26.53 


6.04 


27 


28 


27.57 


4.86 


27.56 


4.98 


27.53 


5.10 


27.51 


5.22 


28 


29 


28.56 


6.04 


28.54 


6.16 


28.51 


5.28 


28.49 


5.41 


29 


30 
31 


29.54 


5.21 
5.38 


29.52 


5.34 


29.50 


5.47 


29.47 


5.60 

5.78 


30 
31 


30.53 


30.51 


5.52 


30.48 


5.65 


30.46 


32 


31.51 


5.56 


31.49 


5.69 


31.46 


5.83 


31.44 


5.97 


32 


33 


32.50 


5.73 


32.47 


5.87 


32.45 


6.01 


32.42 


6.10 


33 


34 


33.48 


5.90 


33.46 


6.05 


33.43 


6.20 


33.40 


6.34 


34 


35 


34.47 


6.08 


34.44 


6.23 


34.41 


6.38 


34.39 


6.53 


35 


36 


35.45 


6.25 


35.43 


6.41 


35.40 


6.56 


35.37 


6.71 


36 


37 


36.44 


6.42 


36.41 


6.58 


36.38 


6.74 


36.35 


6.90 


37 


38 


37.42 


6.60 


37.39 


6.76 


37.36 


6.92 


37.33 


7.09 


38 


39 


38.41 


6.77 


38.38 


6.94 


38.35 


7.11 


38.32 


7.27 


39 


40 
41 


39.39 


6.95 


39.36 


7.12 


39.33 


7.29 


39.30 


7.46 


40 
41 


40.38 


7.12 


40.35 


7.30 


40.31 


7.47 


40.28 


7.65 


42 


41.36 


7.29 


41.33 


7.47 


41.30 


7.65 


41.26 


7.83 


42 
43 


43 


42.35 


7.47 


42.31 


7.65 


42.28 


7.84 


42.25 


8.02 


44 


43.33 


7.64 


43.30 


7.83 


43.26 


8.02 


43.23 


8.21 


44 


45 


44.32 


7.81 


44.28 


8.01 


44.25 


8.20 


44.21 


8.39 


45 


46 


45.30 


7.99 


45.27 


8.19 


45.23 


8.38 


45.19 


8.68 


46 


47 


46.29 


8.16 


46.25 


8.36 


46.21 


8.57 


46.18 


8.77 


47 


48 


47.27 


8.34 


47.23 


8.. 54 


47.20 


8.76 


47.16 


8.95 


48 


49 


48.26 


8.51 


48.22 


8.72 


48.18 


8.93 


48.14 


9.14 


49 


_50 

u 

c 

1 

1 


49.24 


8.68 


49.20 


8.90 


49.16 


9.11 


49.12 


9.33 


50 

6 
o 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


80] 


Deg. 


791 


Deg. 


79i 


Deg. 


m 


Deg. 









TI 


AVKR?] 


•: TAHLE. 






h 


1 

51 


10 Deg. 


lOJ Deg. 


10^ Deg. 


10| Deg. 


O 

w 

p 

3 
o 
a 

"51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50.23 


8.86 


50.19 


9.08 


50.15 


9.29 


.50.10 


9.51 


5a 


51.21 


9.03 


51.17 


9.25 


51.13 


9.48 


51.09 


9.70 


52 


53 


52.19 


9.20 


52.15 


9.43 


52 . 1 1 


9.66 


52.07 


9.89 


53 


54 


53.18 


9.38 


53.14 


9.61 


53.10 


9.84 


53.05 


10.07 


54 


55 


54.16 


9.55 


54.12 


9.79 


54.08 


10.02 


54.03 


10.26 


55 


56 


55.15 


9.72 


55. 11 


9.96 


55.06 


10.21 


55.02 


10.45 


56 


57 


56.13 


9.90 


56.09 


10.14 


56.05 


10.39 


56.00 


10.63 


57 


58 


57.12 


10.07 


57.07 


10.32 


57.03 


10.57 


56.98 


10.82 


58 


59 


58.10 


10,25 


58.06 


10.50 


58.01 


10.75 


57.96 


11.00 


59 


60 
61 


59.09 


10.42 


59.04 


10.68 


59.00 


10.93 
11.12 


58.95 


11.19 


60 
61 


60.07 


10.59 


60.03 


10.85 


59.98 


59.93 


11.38 


62 


61.06 


10.77 


61.01 


11.03 


60.96 


11.30 


60.91 


11.56 


62 


63 


62.04 


10.94 


61.99 


11.21 


61.95 


11.48 


61.89 


11.75 


63 


64 


63.03 


11.11 


62.98 


11.39 


62.93 


11.66 


62.88 


11.94 


64 


65 


64.01 


11.29 


63.96 


11.57 


63.91 


11.85 


63.86 


12.12 


65 


66 


65.00 


11.46 


64.95 


11.74 


64.89 


12.03 


64.84 


12.31 


66 


67 


65.98 


11.63 


65.93 


11.92 


65.88 


12.21 


65.82 


12.50 


67 


68 


66.97 


11.81 


66.91 


12.10 


66.86 


12.39 


66.81 


12.68 


68 


69 


6T.95 


11.98 


67.90 


12.28 


67.84 


12.57 


67.79 


12.87 


69 


70 
71 


68.94 


12.16 


68.88 


12.46 


68.83 


12.76 


68.77 


13.06 


JO 

7 J 


69.92 


12.33 


69.87 


12.63 


69.81 


12.94 


69.75 


13.24 


72 


70.91 


12.50 


70.85 


12.81 


70.79 


13.12 


70.74 


13.43 


72 


73 


71.89 


12.68 


71.83 


12.99 


71.78 


13.30 


71.72 


13.62 


73 


74 


72.88 


12.85 


72.82 


13.17 


72.76 


13.49 


72.70 


13.80 


74 


75 


73.86 


13.02 


73.80 


13.35 


73.74 


13.67 


73.68 


13.99 


75 


76 


74.85 


13.20 


74.79 


13.52 


74.73 


13.85 


74.67 


14.18 


76 


77 


75.83 


13.37 


75.77 


13.70 


75.71 


14.03 


75.65 


14.36 


77 


78 


76.82 


13.54 


76.76 


13.88 


76.69 


14.21 


76.63 


14.55 


78 


79 


77.80 


13.72 


77.74 


14.06 


77.68 


14.40 


77.61 


14.74 


79 


80 
81 


78.78 


13.89 


78.72 


14.24 


78.66 


14., 58 


78.60 


14.92 


80 
81 


79.77 


14.07 


79.71 


14.41 


79.64 


14.76 


79.58 


15.11 


82 


80.75 


14.24 


80.69 


14.59 


80.63 


14.94 


80.56 


15.29 


82 


83 


81.74 


14.41 


81.68 


14.77 


81.61 


15.13 


81.54 


15.48 


83 


84 


82.72 


14.59 


82.66 


14.95 


82.59 


15.31 


82.53 


15.67 


84 


85 


83.71 


14.76 


83.64 


15.13 


83.58 


15.49 


83.51 


15.85 


85 


86 


84.69 


14.93 


84.63 


15.30 


84.56 


15.67 


84.49 


16.04 


86 


87 


85 . 68 


15.11 


85.61 


15.48 


85.54 


15.85 


85.47 


16.23 


87 


88 


86.66 


15.28 


86.60 


15.66 


86.53 


16.04 


83.46 


16.41 


88 


89 


87.65 


15.45 


87.58 


15.84 


87.51 


16.22 


87.44 


16.60 


89 


90 
91 


88.63 


15.63 


88.56 


16.01 


88.49 


16.40 


88.42 


16.79 


90 
91 


89.62 115.80 


89.55 


16.19 


89.48 


16.58 


89.40 


16.97 


92 


90.60 i 15.98 


90.53 


16.. 37 


90.46 


16.77 


90.39 


17.16 


92 


93 


91.59tl6.15 


91.52 


16.55 


91.44 


16.95 


91.37 


17.35 


93 


94 


92.57 16.32 


92.50 


16.73 


92.43 


17.13 


92.35 


17.53 


94 


95 


93.56 16.50 


93.48 


16.90 


93.41 


17.31 


93.33 


17.72 


95 


96 


94.54 ' 16.67 


94.47 


17.08 


94.39 


17.49 


94.32 


17.91 


96 


97 


95.63 16.84 


95.45 


17.26 


95.38 


17.68 


95.30 


18.09 


97 


98 


96.51 17.02 


96.44 


17.44 


96.36 


17.86 


96.28 


18.28 


98 


99 


97.50 i 17.19 


97.42 


17.62 


97.34 


18.04 


97.26 


18.47 


99 


100 

ci 
a 

c 

L 1— 


98.48 i 17.36 


98.40 


17.79 


98.. 33 


18.22 


98.25 


18.65 


100 
1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


80 Deg. 


791 Deg. 


791 Deg. 


79i Deg. 



24 



TRAVERSE TABLE. 





11 Deg. 


Hi Deg. 


Hi 


Deg. 


Ill Deg. 


p 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.98 


0.19 


0.98 


0.20 


0.98 


0.20 


0.98 


0.20 


1 


2 


1.96 


0.38 


1.96 


0.39 


1.96 


0.40 


1.96 


0.41 


2 


3 


2.94 


0.57 


2.94 


0.59 


2.94 


0.60 


2.94 


0.61 


3 


4 


3.93 


0.76 


3.92 


0.78 


3.92 


0.80 


3.92 


0.82 


4 


5 


4.91 


0.95 


4.90 


0.98 


4.90 


1.00 


4.90 


1.02 


5 


6 


5.89 


1.14 


5.88 


1.17 


5.88 


1.20 


5.87 


1.22 


6 


7 


6.87 


1.34 


6.87 


1.37 


6.86 


1.40 


6.85 


1.43 


7 


8 


7.85 


1.53 


7.85 


1.56 


7.84 


1.59 


7.83 


1.63 


8 


9 


8.83 


1.72 


8.83 


1.76 


8.82 


1.79 


8.81 


1.83 


9 


10 
11 


9.82 


1.91 


9.81 


1.95 


9.80 


1.99 


9.79 


2.04 


10 


10.80 


2.10 


10.79 


2.15 


10.78 


2.19 


10.77 


2.24 


11 


12 


11.78 


2.29 


11.77 


2.34 


11.76 


2.39 


11.75 


2.44 


12 


13 


12.76 


2.48 


12.75 


2.54 


12.74 


2.59 


12.73 


2.65 


13 


14 


13.74 


2.67 


13.73 


2.73 


13.72 


2.79 


13.71 


2.85 


14 


15 


14.72 


2.86 


14.71 


2.93 


14.70 


2.99 


14.69 


3.06 


15 


16 


15.71 


3.05 


15.69 


3.12 


15.68 


3.19 


15.66 


3.26 


16 


17 


16.69 


3.24 


16.67 


3.32 


16.66 


3.39 


16.64 


3.46 


17 


18 


17.67 


3.43 


17.65 


3.51 


17.64 


3.59 


17.62 


3.66 


18 


19 


18.65 


3.63 


18.63 


3.71 


18.62 


3.79 


18.60 


3.87 


19 


20 


19.63 


3.82 


19.62 


3.90 


19.60 


3.99 


19.58 


4.07 


20 


21 


20.61 


4.01 


20.60 


4.10 


20.58 


4.19 


20.56 


4.28 


21 


22 


21.60 


4.20 


21.58 


4.29 


21.56 


4.39 


21.54 


4.48 


22 


23 


22.58 


4.39 


22.. 56 


4.49 


22.54 


4.59 


22.52 


4.68 


23 


24 


23.56 


4.58 


23.54 


4.68 


23.52 


4.78 


23.50 


4.89 


24 


25 


24.54 


4.77 


24.52 


4.88 


24.50 


4.98 


24.48 


5.09 


25 


26 


25.52 


4.96 


25.50 


5.07 


25.48 


5.18 


25.46 


5.30 


26 


27 


26.50 


5.15 


26.48 


5.27 


26.46 


5.38 


26.43 


5.. 50 


27 


28 


27.49 


5.34 


27.46 


5.46 


27.44 


5.58 


27.41 


5.70 


28 


29 


28.47 


5.53 


28.44 


5.66 


28.42 


5.78 


28.39 


5.91 


29 


30 


29.45 


5.72 


29.42 


5.85 


29.40 


5.98 


29.37 


6.11 


30 


31 


30.43 


5.92 


30.40 


6.05 


30.38 


6.18 


30.35 


6.31 


31 


32 


31.41 


6.11 


31.39 


6.24 


31.36 


6.38 


31.33 


6.52 


32 


33 


32.39 


6-30 


32.37 


6.44 


32.34 


6.58 


32.31 


6.72 


33 


34 


33.38 


6.49 


33.35 


6.63 


33.32 


6.78 


33.29 


6.92 


34 


35 


34.36 


6.68 


34.33 


6.83 


34.30 


6.98 


34.27 


7.13 


35 


36 


35.34 


6.87 


35.31 


7.02 


35.28 


7.18 


35.25 


7.33 


36 


37 


36.32 


7.06 


36.29 


7.22 


36.26 


7.38 


36.22 


7.53 


37 


38 


37.30 


7.25 


37.27 


7.41 


37.24 


7.58 


37.20 


7.74 


38 


39 


38.28 


7.44 


38.25 


7.61 


38.22 


7.78 


38.18 


7.94 


39 


40 


39.27 


7.63 


39.23 


7.80 


39.20 


7.97 


39.16 


8.15 


40 


41 


40.25 


7.82 


40.21 


8.00 


40.18 


8.17 


40.14 


8.35 


41 


42 


41.23 


8.01 


41.19 


8.19 


41.16 


8.37 


41.12 


8.55 


42 


43 


42.21 


8.20 


42.17 


8.39 


42.14 


8.57 


42.10 


8.76 


43 


44 


43.19 


8.40 


43.15 


8.58 


43.12 


8.77 


43.08 


8.96 


44 


45 


44.17 


8.59 


44.14 


8.78 


44.10 


8.97 


44.06 


9.16 


45 


46 


45.15 


8.78 


45.12 


8.97 


45.08 


9.17 


45.04 


9.37 


46 


47 


46.14 


8.97 


46.10 


9.17 


46.06 


9.37 


46.02 


9.57 


47 


48 


47.12 


9.16 


47.08 


9.36 


47.04 


9.57 


46.99 


9.78 


48 


49 


48.10 


9.35 


48.06 


9.56 


48.02 


9.77 


47.97 


9.98 


49 


50 


49.08 


9.54 


49.04 


9.75 


49.00 


9.97 


48.95 


10.18 


50 


§ 

.2 
Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


i 
1 


79 


Deg. 


781 


Deg. 


78^ 


Deg. 


m Deg. 



TRAVERSE TABLE. 



26 



o 


11 Deg. 


lU Deg. 


llf Deg. 


Ill Deg, 


O 


5' 






■ 






§ 

51 


Lat. 


Dep. 


Lat, 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




50.06 


9.73 


50.02 


9.95 


49.98 


10.17 


49.93 


10.39 


"51 


52 


51.04 


9.92 


51.00 


10.14 


50,96 


10.. 37 


50.91 


10.59 


52 


53 


52.03 


loai 


51,98 


10,34 


51.94 


10.57 


51.89 


10.79 


53 


54 


53.01 


10.30 


52.96 


10.. 53 


52.92 


10.77 


52.87 


11.00 


54 


55 


53.99 


10.49 


53.94 


10.73 


53.90 


10.97 


53.85 


11.20 


55 


56 


54.97 


10.69 


54.92 


10.93 


54.88 


11.16 


54.83 


11.40 


56 


57 


55.95 


10.88 


55.90 


11.12 


55.86 


11.36 


55.81 


11.61 


57 


58 


56.93 


11.07 


56.89 


11.32 


56.84 


11.56 


56.78 


11.81 


58 


59 


57.92 


11.26 


57.87 


11.51 


57.82 


11.76 


57.76 


12.01 


59 


60 

61 


58.90 


11.45 


58.85 


11.71 


58.80 


11.96 


58.74 


12.22 


60 


59.88 


11.64 


59.83 


11.90 


59.78 


12.16 


59 . 72 


12.42 


61 


62 


60.86 


11.83 


60.81 


12.10 


60.76 


12.36 


60.70 


12.63 


62 


63 


61.84 


12.02 


61.79 


12.29 


61.74 


12.56 


61.68 


12.83 


63 


64 


62.82 


12.21 


62.77 


12.49 


62.72 


12.76 


62.66 


13.03 


64 


65 


63.81 


12.40 


63.75 


12.68 


63.70 


12.96 


63.64 


13.24 


65 


66 


64.79 


12.59 


64.73 


12.88 


64.68 


13,16 


64.62 


13.44 


66 


67 


65.77 


12.78 


65.71 


13.07 


65.66 


13.36 


65.60 


13.64 


67 


68 


66 . 75 


12.98 


66.69 


13.27 


66.63 


13.56 


66.58 


13.85 


68 


69 


67.73 


13.17 


67.67 


13.46 


67.61 


13.76 


67.55 


14.05 


69 


70 


68.71 
69.70 


13.36 


68.66 


13.66 


68.59 


13.96 


68.53 


14.25 


70 


71 


13.55 


69.64 


13.85 


69.57 


14.16 


69.51 


14.46 


71 


72 


70.68 


13.74 


70.62 


14.05 


70.55 


14.35 


70.49 


14.66 


72 


73 


71.66 


13.93 


71,60 


14.24 


71.53 


14.55 


71.47 


14.87 


73 


74 


72.64 


14.12 


72.58 


14.44 


72.51 


14.75 


72.45 


15.07 


74 


75 


73.62 


14.31 


73.56 


14.63 


73.49 


14.95 


73.43 


15.27 


75 


76 


74.60 


14.50 


74.54 


14.83 


74.47 


15.15 


74.41 


15.48 


76 


77 


75.59 


14.69 


75.52 


15.02 


75.45 


15.35 


75.39 


15.68 


77 


78 


76.57 


14.88 


76.50 


15.22 


76.43 


15.55 


76.37 


15.88 


78 


79 


77.55 


15.07 


77.48 


15.41 


77.41 


15.75 


77.34 


16.09 


79 


80 
81 


78.53 


15.26 


78.46 


15.61 


78.39 


15.95 


78.32 


16.29 


80 


79.51 


15.46 


79.44 


15.80 


79.37 


16.15 


79.30 


16.49 


81 


82 


80.49 


15.65 


80.42 


16.00 


80.35 


16.35 


80.28 


16.70 


82 


83 


81.48 


15.84 


81.41 


16.19 


81.33 


16.55 


81.26 


16.90 


83 


84 


82.46 


16.03 


82.39 


16.39 


82.31 


16.75 


82.24 


17.11 


84 


85 


83.44 


16.22 


83.37 


16.58 


83.29 


16.95 


83.22 


17.31 


85 


86 


84.42 


16.41 


84.35 


16.78 


84.27 


17.15 


84.20 


17.51 


86 


87 


85.40 


16.60 


85.33 


16.97 


85.25 


17.35 


85.18 


17.72 


87 


88 


86.38 


16.79 


86.31 


17.17 


86.23 


17.54 


86.16 


17.92 


88 


89 


87.36 


16.98 


87.29 


17.36 


87.21 


17.74 


87.14 


18.12 


89 


90 
91 


88.35 


17.17 


88.27 


17.56 


88.19 


17.94 


88.11 


18.33 


90 


89.33 


17.36 


89.25 


17.75 


89.17 


18.14 


89.09 


18.53 


91 


92 


90.31 


17.55 


90.23 


17.95 


90.15 


18.34 


90.07 


18.74 


92 


93 


91.29 


17.75 


91.21 


18.14 


91.13 


18.54 


91.05 


18.94 


93 


94 


92.27 


17.94 


92.19 


18.34 


92.11 


18.74 


92.03 


19.14 


94 


95 


93.25 


18.13 


93.17 


18.53 


93.09 


18.94 


93.01 


19.35 


96 


96 


94.24 


18.32 


94.16 


18.73 


94.07 


19.14 


93.99 


19.55 


96 


97 


95.22 


18.51 


95.14 


18.92 


95.05 


19.34 


94.97 


19.75 


97 


98 


96.20 


18.70 


96.12 


19.12 


96.03 


19.54 


95.95 


19.96 


98 


99 


97.18 


18.89 


97.10 


19.31 


97.01 


19.74 


96.93 


20.16 


99 


100 


98.16 


19.08 


98.08 


19.51 


97.99 


19.94 


97.90 


20.36 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 

.2 


79 Deg. 


781 Deg. 


78| Deg. 


m Deg. 



26 



TRAVERSE TABLE. 



1 


12 Deg. 


U\ Deg. 


12i Deg. 


12} Deg. 


p 


Lai. 1 Dep. 


Lat. ] Dep. 


Lat. Dep. 


Lat. 


Dep. 


3 


1 


0.98 0.21 


0.98 0.21 


0.98, 0.22: 


0.98 


0.22 1 


2 


1.95 0.42 


1.95 0.42 


1.95 0.43 1 


1.95 


0.44 2 


3 


2.93, 0.62 


2.93 0.64 


2.93 0.65 1 


2.93 


0.66 3 


4 


3.91 1 0.83 


3.91 0.85 


3.91 0.87 


3.90 


0.88 4 


5 


4.89: 1.04 


4.89 1.06 


4.88 1.03 


4.88 


1.10 5 


6 


5.87 1.25' 


5.86 1 1.27 


5.86 1.30 


5.85 


1.32 1 6 


7 


6.85 1.46 i 


6.84! 1.49 


6.83 1.52 


6.83 


1.54' 7 


8 


7.83 1.66: 


7.82 


1.70 


7.81 1.73 


7.80 


1.77: 8 


9 


8.80 : 1.87 i 


8.80 


1.91 


8.79 1.95 


8.78 


1.99; 9 


10 


9.78 


2.08 1 
2.29 1 


9.77 


2.12 


9.76! 2.16 


9.75 


2.21 i 10 


11 : 


10.76 


10.75 j 2.33 


10.74 1 2.33 1 


10.73 


2.43 i 11 


12 11.74 2.49i 


11.73! 2.55 


1K72| 2.60! 


11.70 


2.65 ; 12 


13 12.72 


2.70, 


12.70 


2.76 1 


12.69; 2.811 


12.68 


2.87 


13 


14 13.69 


2.91 ! 


13.68 


2.97 


13.67 3.03 


13.65 


3.09 


14 


15 j 14.67 


3.12i 


14.66 


3.18 ! 


14.64 3.25 1 


14.63 


3.31 


15 


16 15.65; 3.33 1 


15.64 


3.39 


15.62 3.46 j 


15.61 


3.53 : 16 


17 16.63 1 3.53 1 


16.61 


3.61 


16.60 


3.68 


16.58 


3.75 17 


18 117.61 3.74' 


17.59 


3.82 


17.57 


3.90 1 


17.56 


3.97' 18 


19 I 18.58 3.95 1 


18.57 


4.03 


18.55 


4.11 


18.53 


4.19 19 


20 , 19.56! 4.16 1 


19.54 


4.24 1 
4.46 


19.53 


4.33 


19.51 


4.41 20 


21 120.54 


4.37^ 


20 . 52 


20.50 


4.55 


20.48 


4.63 ; 21 


22 121.52 


4.57; 


21.50 


4.67; 


21.48 


4.76 21.46 


4.86 i 22 


23 ' 22 . 50 


4.78 i 


22.48 


4.88 1 


22.45 


4.98 22.43 


5.03 ' 23 


24 r23.4S 


4.99; 


23.45 


5.09 


23.43 


5.19 23.41 


5 . 30 1 24 


25 24.45 


5.20 


24.43 


5.30 


24.41 


5.41 


24.38 


5.. 52' 25 


26 25.43 


5.41 1 


25.41 


5.52 


25.38 


5.63 


25.36 


5.74 ' 26 


27 26.41 


5.61 


26.39 


5.73 


26.36 


5.84 


1 26.33 


5.96 ! 27 


2S! 27.39 


5.82! 


27.36 


5.94 


27.. 34 


6.06 


27.31 


6.18 28 


29 128.37 


6.03 


28.34 


6.15 


28.31 


6.28 i 28.28 


6.40 29 


30 129.34 


6.24 


29.32 


6.37 


29 . 29 


6.49 ; 29.26 


6.62 1 30 


31 130.32 


6.45 


30.29 


6.58 


30.27 


6.71 j 30.24 


6.84 i 31 


32 31.30 


6.65 


31.27 


6.79: 


31.24 


6.93 i 31.21 


7.06 ■ 32 


33 132.28 


6.86 


.32.25 


7.00 t 


32.22 


7.14' 32.19 


7.23 ; 33 


34 i 33.26 


7.07 


33.23 


7.21 


33.19 


7.36 ! 33.16 


7.50 ; 34 


35 34.24 


7.28 


34.20 


7.43 


34.17 


7.58 34.14 


7.72 35 


36 i 35.21 


7.48 


.35.18 


7,64 


35.15 


7.79 35.11 


7.95 I 36 


37 36.19 


7.69 


36.16 


7.85 


36.12 


8.01 36.09 


8.17 1 37 


38 37.17 


7.90 


37.13 


8.06 


1 37.10 


8.22 37.06 


8.39! 38 


39 38.15 


8.11 


38.11 


8.27 


1 38.03 


8.44; 38.04 


8.61 : 39 


40 


39.13 


8.32 


39.09 1 8.49 
40.07 8.70 


, 39.05 


8.66 ! 39.01 


8.83 40 


41 


40.10 1 8.52 


; 40.03^ 8.87 139.99 


9.05 i 41 


42 41.08 8.73 


41.04 8.91 


'41.00 1 9.09i;40.96 


9.27 i 42 


43 42.06 8.94 


4?. 02 9.12 


41.98; 9.31 141.94 


9.49 


43 


44 43.041 9.15 


43.00! 9.34 


42.96 1 9. .52 42.92 


9.71 


44 


45 


44.02 i 9.36 


43. 9S 


9.55 


1 43.93 9.74 43.89 


9.93 


45 


46 


44.99 i 9.56 


44.95 


: 9.76 


1 44.91 j 9.96 44.87 


10.15 


46 


47 


45.97 


9.77 


45.93 


; 9.97 


45.89 10.17 45.84 


10.37 i 47 


4S 


46.95 


9.98 


46.91 


: 10.18 


46.86 10.39 46.82 


10.59 1 48 


49 


47.93 


10.19 


47.88 


i 10.40 


147.84,10.61 47.79 


10.31 i 49 


50 

i 
1 


48.91 


10.40 


48.86 
, Dep. 


! 10.61 
1 Lat. 


1 48.81 1 10.82 : 48.77 


11.03 50 


Dep. 


Lat. 


; Dep. 


Lat. Dep. 


Lat. 






a 


78 Deg 


I: 77} Deg. 


1 

771 Deg. ' 77i 


Deg. 















TRAVERSE TABLE. 



87 



o 

5' 

B 
o 
a 

"51 


12 Deg. 


12i Deg. 


1 

12^ Deg. 


12| Deg. 


3 
P 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


49.89 


10.60 


49.84 


10.82 


49.79 


11.04 


49.74 


11.26 


62 


50.86 1 10.81 


50.82 


11.03 


50.77 


11.25 


50.72 


11.48 


52 


63 


51.84 


11.02 


51.79 


11.25 


51.74 


11.47 


51.69 


11.70 


53 


64 


52.82 


11.23 


52.77 


11.46 


52.72 


11.69 


52.67 


11.92 


54 


65 


53.80 


11.44 


53.75 


11.67 


63.70 


11.90 


63.64 


12.14 


55 


56 


54.78 


11.64 


64.72 


11.88 


54.67 


12.12 


54.62 


12.36 


66 


67 


55.75 


11.85 


55.70 


12.09 


55.65 


12.34 


55.59 


12.58 


57 


58 


56.73 


12.06 


56.68 


12.31 


66.63 


12.55 


56.57 


12.80 


58 


59 


57.71 


12.27 


57.66 


12.52 


57.60 


12.77 


57.55 


13.02 


59 


60 
61 


58.69 


12.47 
12.68 


58.63 


12.73 


58.58 


12.99 


58.52 
59.50 


13.24 
13.46 


60 
61 


59.67 


59.61 


12.94 


59.55 


13.20 


62 


60.65 


12.89 


60.59 


13.16 


60.53 


13.42 


60.47 


13.68 


62 


63 


61.62 


13.10 


61.57 


13.37 


61.51 


13.64 


61.45 


13.90 


63 


64 


62.60 


13.31 


62.64 


13.58 


62.48 


13.85 


62.42 


14.12 


64 


65 


63.58 


13.51 


63.52 


13.79 


63.46 


14.07 


63.40 


14.35 


65 


66 


64.56 


13.72 


64.50 


14.00 


64.44 


14.29 


64.37 


14.57 


66 


67 


65.54 


13.93 


65.47 


14.22 


65.41 


14.50 


65.35 


14.79 


67 


68 


66.51 


14.14 


66,45 


14.43 


66.39 


14.72 


66.32 


16.01 


68 


69 


67.49 


14.35 


67.43 


14.64 


67.36 


14.93 


67.30 


15.23 


69 


70 
71 


68.47 


14.55 


68.41 


14.85 


68.34 


15.15 


68.27 


15.45 
15.67 


70 
71 


69.45 


14.76 


69.. 38 


15.06 


69.32 


15.37 


69.25 


72 


70.43 


14.97 


70.36 


15.28 


70.29 


15.58 


70.22 


15.89 


72 


73 


71.40 


15.18 


71.34 


15.49 


71.27 


15.80 


71.20 


16.11 


73 


74 


72.38 


15.39 


72.32 


15.70 


72.25 


16.02 


72.18 


16.33 


74 


75 


73.36 


15.59 


73.29 


15.91 


73.22 


16.23 


73.15 


16.55 


75 


76 


74.34 


15.80 


74.27 


16.13 


74.20 


16.45 


74.13 


16.77 


76 


77 


75.32 


16.01 


75.25 


16.34 


75.17 


16.67 


75.10 


16.99 


77 


78 


76.30 


16.22 


76.22 


16.55 


76.15 


16.88 


76.08 


17.21 


78 


79 


77.27 


16.43 


77.20 


16.76 


77.13 


17.10 


77.05 


17.44 


79 


80 


78.25 


16.63 


78.18 


16.97 


78.10 


17.32 


78.03 


17.66 


80 


81 


79.23 


16.84 


79.16 


17.19 


79.08 


17.53 


79.00 


17.88 


81 


82 


80.21 


17.05 


80.13 


17.40 


80.06 


17.75 


79.98 


18.10 


82 


83 


81.19 


17.26 


81.11 


17.61 


81.03 


17.96 


80.95 


18.32 


83 


84 


82.16 


17.46 


82.09 


17.82 


82.01 


18.18 


81.93 


18.64 


84 


85 


83.14 


17.67 


83.06 


18.04 


82.99 


18.40 


82.90 


18.76 


85 


86 


84.12 


17.88 


84.04 


18.25 


83.96 


18.61 


83.88 


18.98 


86 


87 


85.10 


18.09 


85.02 


18.46 


84.94 


,18.83 


84.85 


19.20 


87 


88 


86.08 


18.30 


86.00 


18.67 


85.91 


19.05 


85.83 


19.42 


88 


89 


87.06 


18.50 


86.97 


18.88 


86.89 


19.26 


86.81 


19.64 


89 


90 
91 


88.03 


18.71 


87.95 


19.10 


87.87 


19.48 
19.70 


87.78 


19.86 


90 


89.01 


18.92 


88.93 


19.31 


88.84 


88.76 


20.08 


91 


92 


89.99 


19.13 


89.91 


19.52 


89.82 


19.91 


89.73 


20.30 


92 


93 


90.97 


19.34 


90.88 


19.73 


90.80 


20.13 


90.71 


20.52 


9? 


94 


91.95 


19.54 


91.86 


19.94 


91.77 


20.35 


91.68 


20.75 


94 


95 


92.92 


19.75 


92.84 


20.16 


92.75 


20.56 


92.66 


20.97 


95 


96 


93.90 


19.96 


93.81 


20.37 


93.72 


20.78 


93.63 


21.19 


96 


97 


94.88 


20.17 


94.79 


20.58 


94.70 


20.99 


94.61 


21.41 


97 


98 


95.86 


20.38 


95.77 


20.79 


95.68 


21.21 


95.58 


21.63 


98 


99 


96.84 


20.58 


96.75 


21.01 


96.65 


21.43 


96.56 


21.85 


99 


100 

o 
o 

C 

Q 


97.81 


20.79 


97.72 


21.22 


97.63 


21.64 


97.53 


22.07 


100 

i 

c 
Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


70 Deg. 


771 Deg 


77A Deg. 


m Deg. 



M 



28 



TBAVZRSE TABLE. 



5 

p 

i 
1 


13 Deg. 


134 Deg. 


1 m 


Deg. 


13} Deg. 


1 


Lat. \ 


Dep. ! 
0.23 


Lat. 1 
0.97 


Dep. ii Lat. 


Dep. 1 


Lat. 1 Dep. 


0.97, 


0.23 ■ 0.97 


0.23 


0.97' 0.24 i 1 


2 


1.95 0.45- 


1.95 


0.46 1' 1.95 


0.47 


1.94 0.48 2 


3 


2.92 0.67 


2.92 


0.69 ; 2.92 


0.70 


2.91 0.71 3 


4 


3.90 0.90 


3.89 


0.92 3.89 


0.93 


3.89! 0.95 4 


5 


4.87 1.12 


4.87 


1.15 4.86 


1.17 1 


4.86 1.19! 5 


6 


5.85 1.35 


5.84 


1.38 ': 5.83 


1.40 


5.83 1.43: 6 


7 


6.82: 1.57 


6.81 


1.60 !! 6.81 


1.6-3 


6.80; 1.66 7 


8 


7.80 1.80 


7.79 


1.83 il 7.78 


1.87 


7.77 1 1.90 8 


9 


8.77 2.02 


8.76 


2.06 8-75 


2.10 


•8.74 2.14 9 


10 


9.74 2.25 


9.73 


2.29 9.72 


2.33 


9.71 ! 2.33 


10 


11,10.72 2.47 


10.71 


2.52 10.70 


2. .57 


10.68 2.61 


11 


12! 11.69 2.70 


11.68 


2.75! 11.67 


2.80 


11.66 : 2.85 12 


13 12.671 2.92 


12.65 


2.98 ' 12.64 


3.03 


12.63 3.09 13 


14 13.64! 3.1o 


13.63 


3.21 13.61 


3.27 


13.60 3.33 14 


15 1 14.62 1 3.37 


14.60 


3.44 14.59 


3.50 


14.57 3.57 15 


16 115.59! 3.60 


15.57 


3.67 15.56 


3.74 


15.. 54 3.30 16 


17 116.57 1 3.62 


16.55 


3.90 1; 16.53 


3.97 


16.51 4.04 17 


IS 17.54^ 4.05 


17.52 


4.13 1 17.50 


4.20 


17. 4S 4.28 IS 


19 


18.51 : 4.27 


18.49 


4.35 1.18.48 


4.44 


18.46 4.52 19 


20 


19.49: 


4.50 
4.72 


19.47 
20.44 


4.53 19.45 
4.81 : 20.42 


4.67 
4.90 


19.43 4.75 20 
20.40 4.99 21 


21 


20.46, 


22 


21.441 4.95 


21.41 


5.04 ; 21. .39 


5.14 


21.37 5.23 22 


23 


22.41 5.17 


22.39 


5.27 ' 22.36 


5.37 


22.34' 5.47 : 23 


24 


23.38 I 5.40 


23.36 


5.50 23.34 


, 5.60, 


23.31 5.70 24 


25 


24.36' 5.62 


24.33 


5.73 24.31 


5.84 


24.28 ' 5.94 1 25 


26 


25.33 


5.85 


25.31 


5.96 i 25.28 


! 6.07 


25.25 . 6.18 ' 26 


27 


26.311 


6.07 


26.28 


6.19 i 26.25 


j 6.^0 


26.23; 6.42 27 


2S 


27.28 1 


6.30 


27.25 


6.42 i: 27.23 


6.54 


27.20 6.66 23 


29 


23.26 


6.52 


23.23 


6.65 28.20 


1 6.77 


28.17 1 6.89 29 


30 


29.23! 6.75 


29.20 


6.88 29.17 


1 7.00 


29.14 7.13 30 


31 


30.21; 6.97 


30.17 


7.11 30.14 


' 7.24 


30.11, 7.37 31 


32 


31.18! 7.20 


31.15 


7.33 31.12 


i 7.47 


31.08: 7.61 32 


33 


32.15 i 7.42 


32.12 


7.. 56 32.09 


7.70 


32.05 1 7.84, 33 


34 


33.13! 7.65 


33.09 


7.79 33.06 


7.94 


33.03 ' 8.03 34 


3.1 


34.10 1 7.87 


34.07 


8.02 34.03 


; 8.17 


34.00 8.32 35 


36 


35.08 1 8.10 


35.04 


8.25 35.01 


' 8.40 


34.97 8.56 36 


37 


36.05: 8.32 


36.02 


8.48 35.93 


8.64 


35.94 S.79 37 


3Si 37.03 { 8.55 


36.99 


' 8.71 36.95 


8.87 


36.91 9.03 3* 


39 35.00 1 8.77 


37.96 


8.94 37.92 


9.10 


37.33 9.27 .39 


40 39.97 1 9.00 


38.94 


9.17 3S.S9 


9.34 


33.35 9.51 40 


41 139.95 9.22 


39.91 


9.40 39. S7 


9.57 


39.33 9.75 41 


42 


40.92: 9.45 


40. SS 


9.63 40. S4 


9.30 


40. SO, 9.93 42 


43 


41.90 9.67 


41.86 


■ 9.36 41.81 


10.04 


41.77 : 10.22 , 43 


44 


42.87 


9.90 


42. S3 


19.03 42.73 


10.27 


42.74 10.46 44 


45 


43. S5 


10.12 


43. SO 


10.31 • 43.76 


10.51 


43.71 I 10.70 : 45 


46 


44.82 


10.35 


44. 7S 


10.54 44.73 


10.74 


44.68; 10.93 > 46 


47 


45.80 


10.57 


45.75 


, 10.77 45.70 


10.97 


45.65 11.17 47 


48 


46.77 


10.30 , 46.72 


! 11.00 ; 46.67 


11.21 


46.62 11.41 4« 


49 


47.74 


11.02 i 47.70 


i 11.23 ' 47.65 


11.44 


47.60 11.65 49 


50 


48.72 


11.25 Ij 48.67 


',11.46 43.62 


11.67 


48.57 11.88 50 


1 

.2 


Dep. 


1 Lat. : Dep. 


1 Lat, Dep. 


Lat. 


Dep. ! Lat. 


' i 


77 Deg. i 76J 
S ,.„,. : ._ 


Deg. II 76| Deg. ;. 76^ Deg. 


"i 









TRAVERSE 


TABLE. 






S9 


3 

61 


13 Deg, 


13i Deg. 


13^ Deg. 


131 Deg. 


1 

3 
o 
a 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


49.69 


11.47 


49.64 


11.69 


49.59 


11.91 


49.54 


12.12 


51 


62 


50.67 


11.70 


50.62 


11.92 


50.. 56 


12.14 


50.51 


12.36 


52 


63 


51.64 


11.92 


51.59 


12.15 


51.54 


12.37 


51.48 


12.60 


53 


64 


52.62 


12.15 


52.56 


12.38 


52.51 


12.61 


52.45 


12.84 


54 


65 


53.59 


12.37 


53.54 


12.61 


53.48 


12.84 


53.42 


13.07 


55 


56 


54.56 


12.60 


54.51 


12.84 


54.45 


13.07 


54.40 


13.31 


56 


67 


55.54 


12.82 


55.48 


13.06 


55.43 


13.31 


55.37 


13.55 


57 


58 


56.51 


13.05 


56.46 


13.29 


56.40 


13.54 


56.34 


13.79 


58 


59 


57.49 


13.27 


57.43 


13.52 


57.37 


13.77 


57.31 


14.02 


59 


60 
61 


58.46 


13.50 


58.40 


13.75 


58.34 


14.01 
14.24 


58.28 


14.26 


60 


59.44 


13.72 


59.38 


13.98 


59.31 


59.25 


14.50 


61 


62 


60.41 


13.95 


60.35 


14.21 


60.29 


14.47 


60.22 


14.74 


62 


63 


61.39 


14.17 


61.32 


14.44 


61.26 


14.71 


61.19 


14.97 


63 


64 


62.36 


14.40 


62.30 


14.67 


62.23 


14.94 


62.17 


15.21 


64 


65 


63.33 


14.62 


63.27 


14.90 


63.20 


15.17 


63.14 


15.45 


65 


66 


64.31 


14.85 


64.24 


15.13 


64.18 


15.41 


64.11 


15.69 


66 


67 


65.28 


15.07 


65.22 


15.36 


65.15 


15.04 


65.08 


15.93 


67 


68 


66.26 


15.30 


66.19 


15.59 


66.12 


15.87 


60.05 


16.16 


68 


69 


67.23 


15.52 


67.16 


15.81 


67.09 


16.11 


67.02 


16.40 


69 


70 
71 


68.21 


15.75 


68.14 


16.04 


68.07 


16.34 


67.99 


16.64 


70 


69.18 


15.97 


69.11 


16.27 


69.04 


16.57 


68.97 


16.88 


71 


72 


70.15 


16.20 


70.08 


16.. 50 


70.01 


16.81 


69.94 


17.11 


72 


73 


71.13 


16.42 


71.06 


16.73 


70.98 


17.04 


70.91 


17.35 


73 


74 


72.10 


16.65 


72.03 


16.96 


71.96 


17.28 


71.88 


17.59 


74 


75 


73.08 


16.87 


73.00 


17.19 


72.93 


17.50 


72.85 


17.83 


75 


76 


74.05 


17.10 


73.98 


17.42 


73.90 


17.74 


73.82 


18.06 


76 


77 


75.03 


17.32 


74.95 


17.65 


74.87 


17.98 


74.79 


18.30 


77 


78 


76.00 


17.55 


75.92 


17.88 


75.84 


18.21 


75.76 


18.54 


78 


79 


76.98 


17.77 


76.90 


18.11 


76.82 


18.44 


76.74 


18.78 


79 


80 
81 


77.95 


18.00 


77.87 


18.34 


77.79 


18.68 


77.71 


19.01 80 


78.92 


18.22 


78.84 


18.57 i 


78.76 


18.91 


78.68 


19.25! 81 


82 


79.90 


18.45 


79.82 


18.79 


79.73 


19.14 


79.65 


19.49 


82 


83 


80.87 


18.67 


80.79 


19.02 1 


80.71 


19.38 


80.62 


19.73 


83 


84 


81.85 


18.90 


81.76 


19.25 I 


81.68 


19.61 


81.59 


19.97 


84 


85 


82.82 


19.12 


82.74 


19.48 1 


82.65 


19.84 


82.56 


20.20 


85 


86 


83.80 


19.35 


83.71 


19.71 1 


83.62 


20.08 


83.54 


20.44 


86 


87 


84.77 


19.57 


84.68 


19.94! 


84.60 


20.31 


184.51 


20.68 


87 


88 


85.74 


19.80 


85.66 


20.17 1 


85.-57 


20.54 


i 85.48 


20.92 


88 


89 


86.72 


20.02 


86.63 


20.40! 


86.54 


20.78 


86.45 


21.15 


89 


90 
91 


87.69 
88.67 


20.25 


87.60 

88.58 


20.63 : 

20.86: 


87.51 


21.01 


87.42 


21.39 


90 


20.47 


88.49 


21.24 


88.39 


21.63 


91 


92 


89.64 


20.70 


89.55 


21.09 1 


89.46 


21.48 


89.36 


21.87 


92 


93 


90.62 


20.92 


90.52 


21.. 32! 


90.43 


21.71 


90.33 


22.10 


93 


94 


91.59 


21.15 


91.50 


21.54 1 


91.40 


21.94 


91.31 


22.34 


94 


95 


92.57 


21.37 


92.47 


21.77 


92.38 


22.18 


92.28 


22.58 


95 


96 


93.54 


21.60 


93.44 


22.00 ' 


93.35 


22.41 


93.25 


22.82 


96 


97 


94.51 


21.82 


94.42 


22.23 ; 


94.32 


22.64 


94.22 


23.06 


97 


98 


95.49 


22.05 


95.39 


22.46 


95.29 


22.88 


95.19 


23.29 


98 


99 


96.46 


22.27 


96.36 


22.69 ! 


96.26 


23.11 


96.16 


23.53 


99 


100 

§ 

c 

IB 


97.44 


22.50 


97.34 


22.92 ; 


97.24 


23.34 


97.13 


23.77 


100 


Dep. 


Lat. 


Dep. 


Lat. j 


Dep. 


Lat. 


Dep. 


Lat. 


6 
o 

Q 


77 Deg. 


j 
76| Deg. j 


76^ Deg. 


16\ Deg. 



30 



TRAVERSE TABLE. 





s 
§ 

1 


14 Deg, 


144 Deg. 


U^Deg. 


14| Deg. 


H 
o 

CD 
1 




Lat. j 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




0.97 


0.24 


0.97 


0.25 


0.97 


0.25 


0.97 


0.25 




2 


1.94 


0.48 


1.94 


0.49 


1.94 


0.50 


1.93 


0.51 


2 




3 


2.91 


0.73 


2.91 


0.74 


2.90 


0.75 


2.90 


0.76 


3 




4 


3.88 


0.97 


3.88 


0.98 


3.87 


1.00 


3.87 


1.02 


4 




5 


4.85 


1.21 


4.85 


1.23 


4.84 


1.25 


4.84 


1.27 


5 




6 


5.82 


1.45 


5.82 


1.48 


5.81 


1.50 


5.80 


1.53 


6 




7 


6.79 


1.69 


6.78 


1.72 


6.78 


1.75 


6.77 


1.78 


7 




8 


7.76 


1.94 


7.75 


1.97 


7.75 


2.00 


7.74 


2.04 


8 




9 


8.73 


2.18 


8.72 


2.22 


8.71 


2.25 


8.70 


2.29 


9 




10 
11 


9.70 


2.42 


9.69 


2.46 


9.68 


2.50 


9.67 


2.55 


10 
11 




10.67 


2.66 


10.66 


2.71 


10.65 


2.75 


10.64 


2.80 




12 


11.64 


2.90 


11.63 


2.95 


11.62 


3.00 


11.60 


3.06 


12 




13 


12.61 


3.15 


12.60 


3.20 


12.59 


3.25 


12.57 


3.31 


13 




14 


13.58 


3.39 


13.57 


3.45 


13.55 


3.51 


13.54 


3.56 


14 




15 


14.55 


3.63 


14.54 


3.69 


14.52 


3.76 


14.51 


3.82 


15 




16 


15.52 


3.87 


15.51 


3.94 


15.49 


4.01 


15.47 


4.07 


16 




17 


16.50 


4.11 


16.48 


4.18 


16.46 


4.26 


16.44 


4.33 


17 




18 


17.47 


4.35 


17.45 


4.43 


17.43 


4.51 


17.41 


4.58 


18 




19 


18.44 


4.60 


18.42 


4.68 


18.39 


4.76 


18.37 


4.84 


19 




20 
21 


19.41 


4.84 


19.38 


4.92 


19.36 


5.01 


19.34 


5.09 


20 
21 




20.38 


5.08 


20.35 


5.17 


20.33 


5.26 


20.31 


5.35 




22 


21.35 


5.32 


21.32 


5.42 


21.30 


5.51 


21.28 


5.60 


22 




23 


22.32 


5.56 


22.29 


5.66 


22.27 


5.76 


22.24 


5.86 


23 




24 


23.99 


5.81 


23.26 


5.91 


23.24 


6.01 


23.21 


6.11 


24 




25 


24.26 


6.05 


24.23 


6.15 


24.20 


6.26 


24.18 


6.37 


25 




26 


25.23 


6.29 


25.20 


6.40 


25.17 


6.51 


25.14 


6.62 


26 




27 


26.20 


6.53 


26.17 


6.65 


26.14 


6.76 


26.11 


6.87 


27 




28 


27.17 


6.77 


27.14 


6.89 


27.11 


7.01 


27.08 


7.13 


28 




29 


28.14 


7.02 


28.11 


7.14 


28.08 


7.26 


28.04 


7.38 


29 




30 
31 


29.11 


7.26 
7.50 


29.08 


7.38 


29.04 


7.51 


29.01 


7.64 


30 
31 




30.08 


30.05 


7.63 


30.01 


7.76 


29.98 


7.89 




32 


31.05 


7.74 


31.02 


7.88 


30.98 


8.01 


30.95 


8.15 


32 




33 


32.02 


7.98 


31.98 


8.12 


31.95 


8.26 


31.91 


8.40 


33 




34 


32.99 


8.23 


32.95 


8.37 


32.92 


8.51 


32.88 


8.66 


34 




35 


33.96 


8.47 


33.92 


8.62 


33.89 


8.76 


33.85 


8.91 


35 




36 


34.93 


8.71 


34.89 


8.86 


34.85 


9.01 


34.81 


9.17 


36 




37 


35.90 


8.95 


35.86 


9.11 


35.82 


9.26 


35.78 


9.42 


37 




38 


36.87 


9.19 


36.83 


9.35 


36.79 


9.51 


36.75 


9.67 


38 




39 


37.84 


9.44 


37.80 


9.60 


37.76 


9.76 


37.71 


9.93 


39 




40 
41 


38.81 


9.68 


38.77 


9.85 


38.73 


10.02 


38.68 


10.18 


40 
41 




39.78 


9.92 


39.74 


10.09 


39.69 


10.27 


39.65 


10.44 




42 


40.75 


10.16 


40.71 


10.34 


40.66 


10.52 


40.62 


10.69 


42 




43 


41.72 


10.40 


41.68 


10.58 


41.63 


10.77 


41.58 


10.95 


43 




44 


42.69 


10.64 


42.65 


10.83 


42.60 


11.02 


42.55 


11.20 


44 




45 


43.66 


10.89 


43.62 


11.08 


43.57 


11.27 


43.52 


11.46 


45 




46 


44.63 


11.13 


44.58 


11.32 


44.53 


11.52 


44.48 


11.71 


46 




47 


45.60 


11.37 


45.55 


11.57 


45.50 


11.77 


45.45 


11.97 


47 




48 


46.57 


11.61 


46.52 


11.82 


46.47 


12.02 


46.42 


12.22 


48 




49 


47.54 


11.85 


47.49 


12.06 


47.44 


12.27 


47.39 


12.48 


49 




50 

s 

d 

.2 

1 


48.51 


12.10 


48.46 


12.31 


48.41 


12.52 


48.35 


12.73 


50 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. Lat. 


Dep. 


Lat. 




76 


Deg. 


751 


Deg. 


76i Deg. 


75i Deg. 



TRAVERSE TABLE. 



31 



51 


14 Deg. 


14i Deg. 


14i Deg. 


14| Deg. 


~51 


Lat. 


Dep. 


Lat. 

49.43 


Dep. 

12.65 


Lat. 


Dep. 


Lat. 


Dep. 


49.49 


12.34 


49.38 


12.77 


49.32 


12.98 


52 


50.46 


12.58 


50.40 


12.80 


50.34 


13.02 


50.29 


13.24 


52 


53 


51.43 


12.82 


51.37 


13.05 


51.31 


13.27 


51.25 


13.49 


53 


54 


52.40 


13.06 


52.34 


13.29 


52.28 


13.52 


52.22 


13.75 


54 


55 


53.37 


13.31 


53.31 


13.54 


53.25 


13.77 


53.19 


14.00 


55 


56 


54.34 


13.55 


54.28 


13.78 


54.22 


14.02 


54.15 


14.26 


56 


57 


55.31 


13.79 


55.25 


14.03 


55.18 


14.27 


55.12 


14.51 


57 


58 


56.28 


14.03 


56.22 


14.28 


56.15 


14.52 


56.09 


14.77 


58 


59 


57.25 


14.27 


57.18 


14.52 


57.12 


14.77 


57.06 


15.02 


59 


60 
61 


58.22 


14.52 


58.15 


14.77 


58.09 


15.02 


58.02 


15.28 


60 


59.19 


14.76 


59.12 


15.02 


59.06 


15.27 


58.99 


15.53 


61 


62 


60.16 


15.00 


60.09 


15.26 


60.03 


15.52 


59 . 96 


15.79 


62 


63 


61.13 


15.24 


61.06 


15.51 


60.99 


15.77 


60.92 


16.04 


63 


64 


62.10 


15.48 


62.03 


15.75 


61.96 


16.02 


61.89 


16.29 


64 


65 


63.07 


15.72 


63.00 


16.00 


62.93 


16.27 


62.86 


16.. 55 


65 


66 


64.04 


15.97 


63.97 


16.25 


63.90 


16.53 


63.83 


16.80 


66 


67 


65.01 


16.21 


64.94 


16.49 


64.87 


16.78 


64.79 


17.06 


67 


68 


65.98 


16.45 


65.91 


16.74 


65.83 


17.03 


65.76 


17.31 


68 


69 


66.95 


16.69 


66.88 


16.98 


66.80 


17.28 


66.73 


17.57 


69 


70 
71 


67.92 


16.93 


67.85 

68.82 


17.23 


67.77 


17.53 


67.69 


17.82 


70 

71 


68.89 


17.18 


17.48 


68.74 


17.78 


68.66 


18.08 


72 


69.86 


17.42 


69.78 


17.72 


69.71 


18.03 


69.63 


18.33 


72 


73 


70.83 


17.66 


70.75 


17.97 


70.67 


18.28 


70.59 


18.59 


73 


74 


71.80 


17.90 


71.72 


18.22 


71.64 


18.53 


71.56 


18.84 


74 


75 


72.77 


18.14 


72.69 


18.46 


72,61 


18,78 


72.53 


19.10 


75 


76 


73.74 


18.39 


73.66 


18.71 


73.58 


19.03 


73.50 


19.35 


76 


77 


74.71 


18,63 


74.63 


18.95 


74.55 


19.28 


74.46 


19.60 


77 


78 


75.68 


18.87 


75.60 


19.20 


75.52 


19.53 


75.43 


19.80 


78 


79 


76.65 


19.11 


76.57 


19.45 


76.48 


19.78 


76.40 


20.11 


79 


80 
81 


77.62 
78.59 


19.35 


77.54 


19.69 


77.45 


20.03 


77.36 


20.37 


80 


19.60 


78.51 


19.94 


78.42 


20.28 


78.33 


20.62 


81 


82 


79.56 


19.84 


79.48 


20.18 


79.39 


20.53 


79.30 


20.88 


82 


83 


80.53 


20,08 


80.45 


20.43 


80.36 


20.78 


80.26 


21.13 


83 


84 


81.50 


20.32 


81.42 


20.68 


81.32 


21.03 


81.23 


21.39 


84 


85 


82.48 


20.56 


82.38 


20.92 


82.29 


21.28 


82.20 


21.64 


85 


86 


83.45 


20.81 


83.35 


21.17 


83.26 


21.53 


83.17 


21.90 


86 


87 


84.42 


21.05 


84.32 


21.42 


84.23 


21.78 


.84.13 


22.15 


87 


88 


85.39 


21.29 


85.29 


21.66 


85.20 


22.03 


85.10 


22.41 


88 


89 


86.36 


21.53 


86.26 


21.91 


86.17 


22.28 


86.07 


22.66 


89 


90 
91 


87.33 


21.77 


87.23 


22.15 


87.13 


22.53 


87.03 


22.91 


90 


88.30 


22.01 


88.20 


22.40 


88.10 


22.78 


88.00 


23.17 


91 


92 


89.27 


22.26 


89.17 


22.65 


89.07 


23.04 


88.97 


23.42 


92 


93 


90.24 


22.50 


90.14 


22.89 


90.04 


23.29 


89.94 


23.68 


93 


94 


91.21 


22.74 


91.11 


23.14 


91.01 


23.54 


90.90 


23.93 


94 


95 


92.18 


22.98 


92.08 


23.38 


91.97 


23.79 


91.87 


24,19 


95 


96 


93.15 


23.22 


93.05 


23.63 


92.94 


24.04 


92.84 


24.44 


96 


97 


94.12 


23.47 


94.02 


23.88 


93.91 


24.29 


93.80 


24.70 


97 


98 


95.09 


23.71 


94.98 


24.12 


94.88 


24.54 


94.77 


24.95 


98 


99 


96.06 


23 9i> 


95.95 


24.37 


95.85 


24.79 


95.74 


25.21 


99 


100 

.2 

P 


97.03 


24.19 


96.92 


24.62 


96.81 


25.04 


96.70 


25.46 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 

.2 


76 Deg. 


751 Deg. 


751 Deg. 


75i Deg. 



32 



TRAVERSE TABLE. 



C9 


15 Deg. 


15i Deg. 


15i 


Deg. 


15| Deg. 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.97 


0.26 


0.96 


0.26 


0.96 


0.27 


0.96 


0.27 


1 


2 


1.93 


0.52 


1.93 


0.53 


1.93 


0.53 


1.92 


0.54 


2 


3 


2.90 


0.78 


2.89 


0.79 


2.89 


0.80 


2.89 


0.81 


3 


4 


3.86 


1.04 


3.86 


1.05 


3.85 


1.07 


3.85 


1.09 


4 


5 


4.83 


1.29 


4.82 


1.32 


4.82 


1.34 


4.81 


1.36 


5 


6 


5.80 


1.55 


5.79 


1.58 


5.78 


1.60 


5.77 


1.63 


6 


7 


6.76 


1.81 


6.75 


1.84 


6.75 


1.87 


6.74 


1.90 


7 


8 


7.73 


2.07 


7.72 


2.10 


7.71 


2.14 


7.70 


2.17 


8 


9 


8.69 


2.33 


8.68 


2.37 


8.67 


2.41 


8.66 


2.44 


9 


10 


9.66 


2.59 


9.65 


2.63 


9.64 


2.67 


9.62 


2.71 


10 


11 


10.63 


2.85 


10.61 


2.89 


10.60 


2.94 


10.59 


2.99 


11 


12 


11.59 


3.11 


11.58 


3.16 


11.56 


3.21 


1 1 . 55 


3.26 


12 


13 


12.56 


3.36 


12.54 


3.42 


12.53 


3.47 


12.51 


3.53 


13 


14 


13.52 


3.62 


13.51 


3.68 


13.49 


3.74 


13.47 


3.80 


14 


15 


14.49 


3.88 


14.47 


3.95 


14.45 


4.01 


14.44 


4.07 


15 


16 


15.45 


4.14 


15.44 


4.21 


15.42 


4.28 


15.40 


4.34 


16 


17 


16.42 


4.40 


16.40 


4.47 


16.38 


4.54 


16.36 


4.61 


17 


18 


17.39 


4.66 


17.37 


4.73 


17.35 


4.81 


17.32 


4.89 


18 


19 


18.35 


4.92 


18.33 


5.00 


18.31 


5.08 


18.29 


5.16 


19 


20 


19.32 


5.18 


19.30 


5.26 


19.27 


5.34 


19.25 


5.43 


20 


21 


20.28 


5.44 


20.26 


5.52 


20.24 


5.61 


20.21 


5.70 


21 


22 


21.25 


5.69 


21.23 


5.79 


21.20 


5.88 


21.17 


5.97 


22 


23 


22.22 


5.95 


22.19 


6.05 


22.16 


6.15 


22.14 


6.24 


23 


24 


23.18 


6.21 


23.15 


6.31 


23.13 


6.41 


23.10 


6.51 


24 


25 


24.15 


6.47 


24.12 


6.58 


24.09 


6.68 


24.06 


6.79 


25 


26 


25.11 


6.73 


25.08 


6.84 


25.05 


6.95 


25.02 


7.06 


26 


27 


26.08 


6.99 


26.05 


7.10 


26.02 


7.22 


25.99 


7.33 


27 


28 


27.05 


7.25 


27.01 


7.36 


26.98 


7.48 


26.95 


7.60 


28 


29 


28.01 


7.51 


27.98 


7.63 


27.95 


7.75 


27.91 


7.87 


29 


30 28.98 


7.76 


28.94 


7.89 


28.91 


8.02 


28.87 


8.14 


30 


31 > 29.94 


8.02 


29.91 


8.15 


29.87 


8.28 


29.84 


8.41 


31 


32 '30.91 


8.28 


30.87 


8.42 


30.84 


8.55 


30.80 


8.69 


32 


33 


31.88 


8.54 


31.84 


8.68 


31.80 


8.82 


31.76 


8.96 


33 


34 


32.84 


8.80 


32.80 


8.94 


32.76 


9.09 


32.72 


9.23 


34 


35 


33.81 


9.06 


33.77 


9.21 


33.73 


9.35 


33.69 


9.50 


35 


36 


34.77 


9.32 


34.73 


9.47 


34.69 


9.62 


34.65 


9.77 


36 


37 


35.74 


9.58 


35.70 


9.73 


35.65 


9.89 


35.61 


10.04 


37 


38 


36.71 


9.84 


36.66 


10.00 


36.62 


10.16 


36.57 


10.31 


38 


39 


37.67 


10.09 


37.63 


10.26 


37.58 


10.42 


37.54 


10.59 


39 


40 


38.64 


10.35 


38.59 


10.52 


38.55 


10.69 


38.50 


10.86 


40 


41 


39.60 


10.61 


39.56 


10.78 


39.51 


10.96 


39.46 


11.13 


41 


42 


40.57 


10.87 


40.52 


11.05 


40.47 


11.22 


40.42 


11.40 


42 


43 


41.53 


11.13 


41.49 


11.31 


41.44 


11.49 


41.39 


11.67 


43 


44 


42.50 


11.39 


42.45 


11.57 


42.40 


11.76 


42.35 


11.94 


44 


45 


43.47 


11.65 


43.42 


11.84 


43.36 


12.03 


43.31 


12.21 


45 


46 


44.43 


11.91 


44.38 


12.10 


44.33 


12.29 


44.27 


12.49 


46 


47 


45.40 


12.16 


45.35 


12.36 


45.29 


12.56 


45.24 


12.76 


47 


48 


46.36 


12.42 


46.31 


12.63 


46.25 


12.83 


46.20 


13.03 


48 


49 


47.33 


12.68 


47.27 


12.89 


47.22 


13.09 


47.16 


13.30 


49 


50 


48.30 


12.94 


48.24 


13.15 


48.18 


13.36 


48.12 


13.. 57 


50 


• o 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 


75 Deg. 


741 Deg. 


74i 


Deg. 


74i Deg. 



TRAVERSE TABLE. 



S$ 



o 
s 

p 

3 
o 

CD 


15 Deg. 


15\ Deg. 


15^ Deg. 


15| Deg. 


3 
? 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 
13.63 


Lat. 


Dep. 


49.26 


13.20 


49.20 


13.41 


49.15 


49.09 


13.84 


62 


50.23 


13.46 


50.17 


13.68 


50.11 


13.90 


.50.05 


14.11 


52 


53 


51.19 


13.72 


51.13 


13.94 


51.07 


14.16 


51.01 


14.39 


53 


54 


52.16 


13.98 


52.10 


14.20 


.52.04 


14.43 


51.97 


14.66 


54 


55 


53.13 


14.24 


53.06 


14.47 


53.00 


14.70 


52.94 


14.93 


55 


56 


54.09 


14.49 


54.03 


14.73 


53.96 


14.97 


53.90 


15.20 


56 


57 


55.06 


14.75 


54.99 


14.99 


54.93 


15.23 


54.86 


15.47 


57 


58 


56.02 


15.01 


55.96 


15.26 


55.89 


15. .50 


55.82 


15.74 


58 


59 


56.99 


15.27 


56.92 


15.52 


56.85 


15.77 


56.78 


16.01 


59 


60 
61 


57.96 


15.53 


57.89 


15.78 


57.82 
58.78 


16.03 1 


57.75 


16.29 


60 
61 


58.92 


15.79 


58.85 


16.04 


16.30 


58.7] 


16.56 


62 


59.89 


16.05 


59.82 


16.31 


59.75 


16.57 


59.67 


16.83 


62 


63 


60.85 


16.31 


60.78 


16.57 


60.71 


16.84 


60.63 


17.10 


63 


64 


61.82 


16.56 


61.75 


16.83 


61.67 


17.10 


61.60 


17.37 


64 


65 


62.79 


16.82 


62.71 


17.10 


62.64 


17.37 


62.56 


17.64 


65 


66 


63.75 


17.08 


63.68 


17.36 


63.60 


17.64 


63.52 


17.92 


66 


67 


64.72 


17.34 


64.64 


17.62 


64.56 


17.90 


64.48 


18.19 


67 


68 


65.68 


17.60 


65.61 


17.89 


65.53 


18.17 


65.45 


18.46 


68 


69 


66.65 


17.86 


66.57 


18.15 


66.49 


18,44 


66.41 


18.73 


69 


70 
71 


67.61 


18.12 


67.54 


18.41 


67.45 


18.71 


67.37 


19.00 


70 

71 


68.58 


18.38 


68.50 


18.68 


68.42 


18.97 


68.33 


19.27 


72 


69.55 


18.63 


69.46 


18.94 


69.38 


19.24 


69.30 


19.54 


72 


73 


70.51 


18.89 


70.43 


19.20 


70.35 


19.51 


70.^6 


19.82 


73 


74 


71.48 


19.15 


71.39 


19.46 


71.31 


19.78 


71.22 


20.09 


74 


75 


72.44 


19.41 


72.36 


19.73 


72.27 


20.04 


72.18 


20.36 


75 


76 


73.41 


19.67 


73.32 


19.99 


73.24 


20.31 


73.15 


20.63 


76 


77 


74.38 


19.93 


74.29 


20.25 


74.20 


20.58 


74.11 


20.90 


77 


78 


75.34 


20.19 


75.25 


20.52 


75.16 


20.84 


75.07 


21.17 


78 


79 


76.31 


20.45 


76.22 


20.78 


76.13 


21.11 


76.03 21.44 


79 


80 
81 


77.27 


20.71 


77.18 


21.04 


77.09 


21.38 


77.00 


21.72 


80 
81 


78.24 


20.96 


78.15 


21.31 


78.05 


21.65 


77.96 


21.99 


82 


79.21 


21.22 


79.11 


21.57 


79.02 


21.91 


78.92 


22.26 


82 


83 


80.17 


21.48 


80.08 


21.83 


79.98 


22.18 


79.88 


22.53 


83 


84 


81.14 


21.74 


81.04 


22.09 


80.94 


22.45 


80.85 


22.80 


84 


85 


82.10 


22.00 


82.01 


22.36 


81.91 


22.72 


81.81 


23.07 


85 


86 


83.07 


22.26 


82.97 


22.62 


82.87 


22.98 


82.77 


23.34 


86 


87 


84.04 


22.52 


83.94 


22.88 


83.84 


23.25 


83.73 


23.62 


87 


88 


85.00 


22.78 


84.90 


23.15 


84.80 


23.52 


84.70 


23.89 


88 


89 


85.97 


23.03 


85.87 


23.41 


85.76 


23.78 


85.66 


24.16 


89 


90 
91 


86.93 


23.29 


86.83 


23.67 


86.73 


24.05 


86.62 


24.43 


90 
91 


87.90 


23.55 


87.80 


23.94 


87.69 


24.32 


87.58 


24.70 


92 


88.87 


23.81 


88.76 


24.20 


88.65 


24.59 


88.55 


24.97 


92 


93 


89.83 


24.07 


89.73 


24.46 


89.62 


24.85 


89.51 


25.24 


93 


94 


90.80 


24.33 


90.69 


24.72 


90.58 


25.12 


90.47 


25.52 


94 


95 


91.76 


24.59 


91.65 


24.99 


91.54 


25.39 


91.43 


25.79 


95 


96 


92.73 


24.85 


92.62 


25.25 


92.51 


25.65 


92.40 


26.06 


96 


97 


93.69 


25.11 


93.58 


25.51 


93.47 


25.92 


93.36 


26.33 


97 


98 


94.66 


25.36 


, 94.. 55 


25.78 


94.44 


26.19 


94.32 


26.60 


98 


99 


95.63 


25 . 62 


i 95.51 


26.04 


95.40 


26.46 


95.28 


26.87 


99 


100 

i 

.2 


96.59 
Dep. 


25.88 


96.48 


26.30 


96.36 


26.72 


96.25 


27.14 


100 

i 
■a 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 Lat. 


75 Deg. 


74| Deg. 

i 


741 Deg. 


m Deg. 






• 

















34 



TRAVERSE TABLE. 



c 

ct 

1 

1 


16 Deg. ': 16^ Dej. 

1 


^H 


Deg. 


16.^ 


Deg. 




Lat. 


Dep. 1 Lat. 


Dep. 1 


Lat. 


Dep. 


Lat. 


Dep. 


i 


0.96 


0.28 0.96 


0.28 


0.96 


0.28 


0.96 


0.29 1 1 


2 


1.92 


0.55 


1.92 


0.56 


1.92 


0.57 


1.92 


0.58 


2 


3 


2.88 


0.83 


2.88 


0.84 


2.88 


0.85 


2.87 


0.86 


3 


4 


3.85 


1.10 


3.84 


1.12 


3.84 


1.14 


3.83 


1.15 


4 


5 


4.81 


1.38 4.80 


1.40 


4.79 


1.42; 


4.79 


1.44 


5 


6 


5,77 


1.65 5.76 


1.68 


5.75 


1.70; 


5.75 


1.73! 6 


7 


6.73 


1.93 


6.72 


1.96 


6.71 


1.99 


6.70 


2.02 7 


8 


7.69 


2.21- 


7.68 


2.24 


7.67 


2.27 


7.66 


2.31 S 


9 


8.65 


2.48 


8.64 


2.52 


8.63 


2.56 


8.62 


2.59 9 


10 
11 


9.61 ■ 
10.57 


2.76 


9.60 


2.80 


9.59 


2.84 


9.58 
10.53 


2.88 10 
3.17 11 


3.03 


10.56 


3.08 


10.55 


3.12 


12 


11.54: 


3.31 


11.52 


3.36 


11.51 


3.41 


11.49 


3.46 12 


13 


12.50 


3.58 1 12.48 


3.64 


12.46 


3.69 


12.45 


3.75 13 


14 


13.46 


3.86 


13.44 


3.92 


13.42 


3.98 


13.41 


4.03 , 14 


15 


14.42 


4,13: 


14.40 


4.20 


14. 3S 


4.26 


14.36 


4.32 ; 15 


16 


15.38 ! 


4.41' 


15.36 


4.48 


15.34 


4.54 


15.32 


4.61 ■ 16 


17 


16.34! 


4.69; 


16.32 


4.76 


16.30 


4.83 


16.28 


4.90 17 


18 


17.30 , 


4.96. 


17.28 


5.04 


17.26 


5.11 


17.24 


5.19 IS 


19 


18.26! 


5.24 ! 18.24 


5.32 


18.22 


5.40 


18.19 


5.48 19 


20 
21 


19.23 ' 


5.51 1 19.20 


5.60 


19.18 


5.68 


19.15 


5.76 20 


20.19 


5.79 20.16 


5.88 


20.14 


5.96 


20.11 


6.05 21 


22 


21.15 


6.06 21.12 


6.16 


21.09 


6.25 


21.07 


6.34 22 


23 


22.11 


6.34 1 22.08 


6.44 


22.05 


6.53 


22.02 


6.63 23 


24 


23.07 ■■ 


6.62 23.04 


6.72 


23.01 


6.82 


22 . 98 


6.92 24 


2,=) 


24.03: 


6.89 ; 24.00 


7.00 


23.97 


7.10 


23.94 


7.20 25 


26 


24.99 i 


7.17 ' 24.96 


7.28 


,24.93 


7.38 


24.90 


7.49 ; 26 


27 


25.95 j 


7.44 ' 25.92 


7.56 


25.89 


7.67 


25.85 


7.78 27 


28 


26 . 92 ! 


7.72 ! 26.88 


7.84 


26.85 


7.95 


26.81 


8.07, 28 


29 


27.88' 


7.99 : 27.84 


8.11 


27.81 


8.24 


27.77 


8.36 29 


30 

31 


28.84. 
29 . 80 i 


8.27 28.80 


8.39 


28 . 76 


8.52 


2S . 73 

29.68 


8 . 65 30 
8.93 31 


8.54 i 29.76 


8.67 


29.72 


s.so 


32 


30.76 


8.82 ,30.72 


8.95 


30.68 


9.09 


30.64 


9.22 32 


33 


31.72 


9.10; 


31.68 


9.23 


31.64 


■ 9.37 


31.60 


9.51 33 


34 


32 . 68 


9.37 


32.64 


9.51 


32.60 


, 9.66 


32.56 


9.80 34 


3o 


33.64 


9.65 


33.60 


9.79 


33 . 56 


9.94 


33.51 


10.09 35 


36 


34.61 


9.92 


34.56 


10.07 


34.52 


10.22 


34.47 


10.38 36 


37 


35.57 


10.20 


35 . 52 


1 10.35 


35.48 


10.51 


35.43 


10.66 37 


38 


36.53 


10.47 


36.48 


1 10.63 


.36.44 


; 10.79 


36.39 


10.95 38 


39 


37.49 


10.75 


37.44 


1 10.91 


37.39 


: 11. OS 


37.35 


11.24 39 


40 

41 


38.45 


11.03 


38.40 


; 11.19 


38.35 
39.31 


11.36 
11.64 


38.. 30 


11.53 


40 


39.41 


11.30 i 39.36 


' 11.47 


39.26 


1 1 . S2 


41 


4^ 


40.37 


11.58 


40.32 


11.75 


' 40 . 27 


. 11.93 


40.22 


12.10 12 


43 


41.33 


11.85 


41.28 


1 12.03 


1 41.23 


12.21 


41.18 


12.39 43 


44 


42 . 30 


12.13 


42.24 


1 12.31 


,42.19 


12.50' 


42.13 


12.63 44 


45 


43.26 


12.40 


43.20 


; 12.59 


i 43.15 


12.78 


43.09 


12.97 45 


46 


44.22 


12.68 i ■U.16 


; 12.87 


144.11 


. 13.06 


44.05 


13.26 ■ 46 


47 


45.18 


12.95 


45.12 


13.15 


45.06 


13.35. 


45.01 


13.55 : 47 


48 


46.14 


13.23 


46.08 


13.43 


; 46.02 


, 13.63 ; 


45.96 


13.83 ! 48 


49 


47.10 


13.51 


47.04 


13.71 


'46.98 


13.92 , 


46.92 


14.12 ; 49 


50 

6 

a 


48.06 


13.78 


48.00 


113.99 


47.94 


14.20 


47.88 


14.41 


1 50 


Dep. 


Lat. 


Dep. 


Lat 


Dep. 


1 Lat. ; 


Dep. 


Lat. 





74 Deg. 


731 


Deg. 


731 


Deg. 


m 


Deg. 


.2 



TRAVERSE fABLE 



35 



"51 


16 Deg, 


Idk Deg. 


16^ Deg. 


16J Deg. 


« 

P 
51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


49.02 


14.06 


48.96 


14.27 


48.90 


14.48 


48.84 


14.70 


52 


49.99 


14.33 


49.92 


14.66 


49.86 


14.77 


49.79 


14.99 


52 


53 


50.95 


14.61 


50.88 


14.83 


.60.82 


16.05 


60.76 


16.27 


53 


54 


51.91 


14.88 


61.84 


16.11 


61.78 


15.34 


61.71 


16.56 


54 


55 


52.87 


15.16 


52.80 


16.39 


62.74 


15.62 


62.67 


15.86 


56 


56 


53.83 


15.44 


53.76 


16.67 


63.69 


15.90 


53.62 


16.14 


56 


57 


54.79 


15.71 


54.72 


16.95 


64.65 


16.19 


54.68 


16.43 


57 


58 


55.75 


16.99 ! 


55.68 


16.23 


65.61 


16.47 


65.64 


16.72 


58 


59 


56.71 


16.26 i 


66.64 


16.51 


56.57 


16.76 


66.50 


17.00 


59 


60 
61 


57.68 


16.54 


67.60 


16.79 


57.63 


17.04 


57.46 


17.29 


60 
61 


58.64 


16.81 \ 


68.66 


17.07 


.58.49 


17.32 


68.41 


17.68 


62 


69.60 


17.09 


69.52 


17.35 


69.46 


17.61 


69.37 


17.87 


62 


63 


60.56 


17.37 


60.48 


17.63 


60.41 


17.89 


60.33 


18.16 


63 


64 


61.52 


17.64 


61.44 


17.91 


61.36 


18.18 


61.28 


18.44 


64 


65 


62.48 


17.92,! 


62.40 


18.19 


62.32 


18.46 


62.24 


18.73 


65 


66 


63.44 


18.19i 


63.. 36 


18.47 


63.28 


18.74 


63.20 


19.02 


66 


67 


64.40 


18.47 1 


64.32 


18.75 


64.24 


19.03 


64.16 


19.31 


67 


68 


65.37 


18.74 1 


66.28 


19*03 


65.20 


19.31 


65.11 


19.60 


68 


69 


66.33 


19.02 


66.24 


19.31 


66.16 


19.60 


66.07 


19.89 


69 


70 
71 


67.29 


19.29 j 


67.20 


19.69 


67.12 


19.88 


67.03 


20 . 17 


70 

71 


68.25 


19.57 1 


68.16 


19.87 


68.08 


20.17 


67.99 


20.46 


72 


69.21 


19.85: 


69.12 


20.15 


69.03 


20.45 


68.96 


20.76 


72 


73 


70.17 


20.12, 


70.08 


20.43 


69.99 


20.73 


69.90 


21.04 


73 


74 


71.13 


20.40 


71.04 


20.71 


70.96 


21.02 


70.86 


21.33 


74 


75 


72.09 


20.67 


72.00 


20.99 


71.91 


21.30 


171.82 


21.61 


75 


76 


73.06 


20.95 


72.96 


21.27 


72.87 


21.. 59 


72.78 


21.90 


76 


77 


74.02 


21.22 


73.92 


21.55 


73.83 


21.87 


73.73 


22.19 


77 


78 


74.98 


21. .50 


74.88 


21.83 


74.79 


22.15 


74.69 


22.48 


78 


79 


75.94 


21.78 


76.84 


22.11 


75.76 


22.44 


75.65 


22.77 


79 


80 

81 


76.90 


22.06 


76.80 


22.39 


76.71 
77.66 


22.73 


76.61 


23.06 


80 
81 


77.86 


22.33 


77.76 


22.67 


23.01 


77.56 


23.34 


82 


78.82 


22.60 


78.72 


22.95 


78.62 


23.29 


78.62 


23.63 


82 


83 


79.78 


22.88 


79.68 


23.23 


79.68 


23.57 


79.48 


23.92 


83 


84 


80.75 


23.16 


80.64 


23.51 


80.64 


23.86 


80.44 


24.21 


84 


85 


81.71 


23.43 


81.60 


23.79 


81.50 


24.14 


81.39 


24.50 


85 


86 


82.67 


23.70 


82.56 


24.07 


82.46 


24.43 


82.36 


24.78 


86 


87 


83.63 


23.98 


83.62 


24.36 


83.42 


24.71 


83.31 


25.07 


87 


88 


84.59 


24.26 


84.48 


24.62 


84.38 


24.99 


84.27 


25.. 36 


88 


89 


85.55 


24.63 


86.44 


24.90 


85.33 


25.28 


86.22 


25.65 


89 


90 
91 


86,51 


24.81 


86.40 


25.18 


86.29 


25.66 


86.18 


25.94 


90 
91 


87.47 


26.08 


87.36 


25.46 


87.26 


25.85 


8'7.14 


26.23 


92 


88.44 


25.36 1 


88.32 


25.74 


88.21 


26.13 


88.10 


26.61 


92 


93 


89.40 


26.63 


89.28 


26.02 


89.17 


26.41 


89.05 


26.80 


93 


94 


90.36 


25.91 


90.24 


26.30 


90.13 


26.70 


90.01 


27.09 


94 


95 


91.32 


26.19 


91.20 


26.58 


91.09 


26.98 


90.97 


27.38 


95 


96 


92.28 


26.46 


92.16 


26.86 


92.05 


27.27 


91.93 


27.67 


96 


97 


93.24 


26.74 


93.12 


27.14 


93.01 


27.66 


92.88 


27.95 


97 


98 


94.20 


27.01 


94.08 


27.42 


93.96 


27.83 


93.84 


28.24 


98 


99 


95.16 


27.29 


96.04 


27.70 


94.92 


28.12 


94.80 


28.53 


99 


1 100 

1 _ 


96.13 


27.56 


96.00 


27.98 


95.88 


28.40 


95.76 


28.82 


100 

i 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


74 Deg. 


731 Deg. 


1 73ADeg. 


m Deg. 



N 



36 



THAVERSE TABLE. 



S' 

E 

i 
1 


17 Deg. , 


ITi Deg. 


I7i 


Deg. 


ITi Deg. 


a 
p 

~1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 1 


Dep. 


0.96 


0.29 1 0.95 


0.30 


0.95 


0.30 i 


0.951 


0.30 


2 


1.91 


0.53 1 1.91 


0.59 


1.91 


0.60 


1.901 


0.61 





3 


2.87 


0,83 : 2.87 


0.89 


3.86 


0.90 


2.86 


0.91 


3 


4 


3.83 


1.17; 


3.82 


1.19 


3.81 


1.20 


3.81 


1.22 


4 


5 


4.78 


1.46 


4.78 


1.48 


4.77 


1.50; 


4.76 


1.52 


5 


6 


5.74 


1.75 


5.73 


1.78 


5.72 


1.80 


5.71 


1.83 


6 


7 


6.69 


2.05; 


6.69 


2.08 


6.68 


2.10 


6.67 


2.13 


7 


8 


7.65 


2.34; 


7.64 


2.37 


7.63 


2.41 


7.62 


2.44 


6 


9 


8.61 


2.63! 


8.60 


2.67 


8.58 


2.71! 


8.57; 


2.74 


9 


10 
11 


9.56 


2.92! 


9.. 55 


2.97 


9.54 


3.01 i 


9. .52; 


3.05 


10 

11 


10.52 


3.22; 


10.51 


3.26 


10.49 


3.31 


10.48! 


3.35 


12 


11.48 


3.51 


11.46 


3.56 


11.44 


3.61 


11.43{ 


3.66 


12 


13 


12.43 


3.80 


12.42 


3.85 


12.40 


3.91 


12.33 


3.96 


13 


14 


13.39 


4.09 


13.37 


4.15 


13.35 


4.21 


13.33 


4.27 


14 


15 


14.34 


4.39 


14.33 


4.45 


14.31 


4.51 


14.29 


4.57 


15 


16 


15.30 


4.68: 


15.28 


4.74 


15.26 


4.81! 


15.24 1 


4.88 


16 


17 


16.26 


4.97! 


16.24 


5.04 


16.21 


5.11 1 


16.191 


5.18 


17 


18 


17.21 


5.26 1 


17.19 


5.34 


17.17 


5.41 1 


17.14i 


5.49 


13 


19 


18.17 


5.56 


18.-15 


5.63 


18.12 


5.71 


18.10 


5.79 


19 


20 

21 


19.13 

20.03 


5.85 
6.14 


19.10 

20.06 


5.93 
6.23 


,19.07 


6.01! 


19.05! 


6.10 


20 


20.03 


6.31 


20.00 


6.40 


22 


21.04 


6.43 


31.01 


6.52 20.98 


6.62 


20.95 


6.71 


22 


23 


21.99 


6.72 


21.97 


6. 82 21.94 


6.92 


21.91 


7.01 


23 


24 


22.95 


7.02 


22.92 


7.12 22.39 


7 ■"■*"' 


22.86 


7.32 


24 


2.5 


23.91 


7.31 


23.88 


7.41 23.34 


7.. 52 


23.81 


7.62 


25 


26 


24.86 


7.60 


24.83 


7.71 24.30 


7.82 


24.76 i 


7.93 


26 


27 


25.82 


7.89 


25 . 79 


3.01 25.75 


8.12, 


25.71 j 


8.23 


27 


2S 


26.78 


8.19 


26.74 


3.. 30 26.70 


8.42 


26.67 


8.5-1 


23 


29 


27.73 


8.43 


27.70 


8.60 27.66 


8.72 1 


27.62 


8.84 


29 


30 

31 


23.69 
29.65 


8.77 28.65 


8.90 23.61 
9.19 29.57 


9.02 ' 

9 . 32 


23.57 


9.15 


30 

31 


9.06 


29.61 


29.52 


9.45 


32 


30.60 


9.36 


30.56 


9 . 49 30 . 52 


9.62 


30.43 


9.76 


32 


33 


31.56 


9.65 


31.. 52 


9.79 31.47 


, 9.92 


31.43 


10.06 


3:^ 


3-i 


32.51 


9.94 


32.47 


10.08 i, 32.43 


; 10.22 


32.33 


10.37 


34 


35 


33.47 


10.23 


33.43 


10.38! 33.38 


! 10.52 > 33.33 


10.67 


35 


3d 


34,43 


10.53 


34.3-3 


10.68 ;. 34.33 


10.83 


34.29 


10.98 


36 


37 


35.38 


10.82 


35 . :34 


10.97 35.29 


' 11.13 


35 24 


11.28 


37 


3S 


36.34 


11.11 


36.29 


11.27 36.24 


! 11.43 


30.19 


11.58 


33 


39 


37.30 


11.40 


37 . 25 


11. .57,1 37.19 


1 11.73 


37.14 


11,89 


39 


4<J 
41 


33.25 
39.21 


11.69 
11.99 


33.20 
39.16 


11.86 
12.16 


38.15 


112.03 


33.10 


12.19 


i 40 

j 41 


39.10 


! 12.33 


39.05 


12.50 


42 


40.16 


12.28 


40.11 


12.45 40.06 


j 12.63 


40.00 


12.30 


4-? 


43 


41.12 


12.57 


41.07 


12.75 41.01 


! 12.93 


40,95 


13.11 


1 4:? 


4rl: 


42.03 


12.36 


42.02 


13.05 1 41.96 


! 13.23 


i4l.91 


13.41 


1 44 


45 


43.03 


13.16 


42.98 


13.34' 42.92 


j 13.53 


142.86 


13.72 


i -^5 


46 


43.99 


13.45 


43.93 


i 13.64 43.87 


13.83 


43.81 


14.02 


! 4*= 


47 


44.95 


13.74 


44.39 


13.94 44.82 


1 14.13 


44.76 


14.33 


! 47 


4S 


45.90 


14.03 


4.5.34 


: 14.23 4.5.78 


i 14,43 


145.71 


14.63 


i 43 


49 


46.86 


14.33 46.?<3 


14.53 46.73 


i 14.73 


'46.67 


14.94 


1 49 


50 
1 


47.82 


14.62 


47 . 75 
Deo. 

1 721 


1 14.83 
Lit. 

Deg. 


47.69 


i 15.04 


47.62 
Dep. 


15.24 

Lat. 


!_50 


Dep. 


; Lat. 


Dep. 


' Lat. 
Deg. 


73 

( 


Deg. 


72* 


Deg. 



TRAVERSE TABLE. 



37 



So 

3 
o 
a 

"51 


17 Deg. 


17i Deg. 


17^ Deg. 


171 Deg. 


1 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




48.77 


14.91 


48.71 


15.12 


48.64 


15.34 


48.57 


15.55 


51 




62 


49.73 


15.20 


49.66 


15.42 


49.59 


15.64 


49.52 


15.85 


52 




53 


50.68 


15.50 


50.62 


15.72 


50.55 


15.94 


50.48 


16.16 


53 




64 


51.64 


15.79 


51.57 


16.01 


51.50 


16.24 


51.43 


16.46 


54 




55 


52.60 


16.08 


52.53 


16.31 


52.45 


16.54 


52.38 


16.77 


55 




56 


53.55 


16.37 


53.48 


16.61 


53.41 


16.84 


53.33 


17.07 


56 




57 


54.51 


16.67 


54.44 


16.90 


54.36 


17.14 


54.29 


17.38 


57 




58 


55.47 


16.96 


55.39 


17.20 


55.32 


17.44 


55.24 


17.68 


58 




59 


56.42 


17.25 


56.35 


17.50 


56.27 


17.74 


56.10 


17.99 


69 




60 
61 


57.38 


17.54 


57.30 


17.79 


57.22 


18.04 


57.14 


18.29 


60 




58.33 


17.83 


58.26 


18.09 


58.18 


18.34 


58.10 


18.60 


61 




62 


59.29 


18.13 


59.21 


18.39 


59.13 


18.64 


59.05 


18.90 


62 




63 


60.25 


18.42 


60.17 


18.68 


60. OS 


18.94 


60.00 


19.21 


63 




64 


61.20 


18.71 


61.12 


18.98 


61.04 


19.25 


60.95 


19.51 


64 




65 


62.16 


19.00, 


62.08 


19.28 


61.99 


19.55 


61.91 


19.82 


65 




66 


63.12 


19.30 ; 


63.03 


19.57 


62.95 


19.85 


62.86 


20.12 


66 




67 


64.07 


19.59 


63.99 


19.87 


63.90 


20.15 


63.81 


20.43 


67 




68 


65.03 


19.88 j 64.94 


20.16 


64.85 


20.45 


64.76 


20.73 


68 




69 


65.99 


20.17 


65.90 


20.46 


65.81 


20.75 


65.72 


21.04 


69 




70 
71 


6fi.94 


20.47' 


66.85 


20.76 


66.76 


21.05 


66.67 


21.34 


70 
71 




67.90 


20.76, 


67.81 


21.05 


67.71 


21.35 


67.62 


21.65 




72 


68.85 


21.05 


68.76 


21.35 


68.67 


21.65 


68.57 


21.95 


72 




73 


69.81 


21.34: 


69.72 


21.65 


69.62 


21.95 


69.52 


22.26 


73 




74 


70.77 


21.64 


70.67 


21.94 


70.58 


22.25 


70.48 


22.56 


74 




75 


71.72 


21.93 


71.63 


22.24 


71.53 


22.55 


71.43 


22.86 


75 




76 


72.68 


22.22 


72.58 


22.54 


72.48 


22.85 


72.38 


23.17 


76 




77 


73.64 


22.51 


73.54 


22.83 


173.44 


23.15 


73.33 


23.47 


77 




78 


74.59 


22.80 


74.49 


23.13 


74.39 


23.46 


74.29 


23.78 


78 




79 


75.55 


23.10 


75.45 


23.43 


75.34 


23.76 


75.24 


24.08 


79 




80 
81 


76.50 
77.46 


23.39 


76.40 
77.36 


23.72 : 


76.30 


24.06 


76.19 


24.39 


80 




23.68 


24.02; 


77.25 


24.36 


77.14 


24.69 


81 




82 


78.42 


23.97 


78.31 


24.32 


78.20 


24.66 


78.10 


25.00 


82 




83 


79.37 


24.27 


79.27 


24.61 


79.16 


25.96 


79.05 


25.30 


83 




84 


80.33 


24.56 


80.22 


24.91 ' 


80.11 


25.26 


80.00 


25.61 


84 




85 


81.29 


24.85 


81.18 125.21 


81.07 


25.56 


180.95 


25.91 


85 




86 


82.24 


25.14 


82.13 


25.50 


82.02 


25.86 


'81.91 


26.22 


86 




87 


83.20 


25.44 


83.09 


25.80 


82.97 


26.16 


82.86 


26.52 


87 




88 


84.15 


25.73 


84.04 


26.10 


83.93 


26.46 


83.81 


26.83 


88 




89 


85.11 


26.02 


85.00 


26.39 


84.88 


26.76 


84.76 


27.13 


89 




90 
91 


86.07 


26.31 


85.95 


26.69 


85.83 


27.06 


85.72 


27.44 


90 




87.02 


26.61 


86.91 


26.99 


86.79 


27.36 


86.67 


27.74 


91 




92 


87.98 


26.90 


87.86 


27.28 


87.74 


27.66 


87.62 


28.05 


92 




<)3 


88.94 


27.19 


88.82 


27.58 


88.70 


27.97 


88.57 


28.35 


93 




94 


89.89 


27.48 


89.77 


27.87 


89.65 


28.27 


89.53 


28.66 


94 




95 


90.85 


27.78 


90.73 


28.17 


,90.60 


28.57 


90.48 


28.96 


95 




96 


91.81 


28.07 


91.68 


28.47 


J91..56 


28.87 


91.43 


29.27 


96 




97 


92.76 


28.36 


92.64 


28.76 


192.51 


29.17 


92.. 38 


29.57 


97 




98 


93.72 


28.65 


93.59 


29.06 


93.46 


29.47 


93.33 


29.88 


98 




99 


94.67 


28 . 94 


94.55 


29.36 


94.42 


29.77 


94.29 


30.18 


99 




! 100 

i 

a 

1 -2 


95.63 


29.24 


95.50 


29.65 


95 . 37 


30.07 


95.24 


30.49 


100 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


c 




73 Deg. 


72i Deg. 


72^ Deg. 


72i Deg. 





38 



THAVERSE TABLE. 



5 

CO 


18 


Deg. 


m Deg, 


18i 


Deg. 


181 Deg, 


§ 


Lat. 


Dep. 


Lat, 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.95 


0.31 


0.95 


0.31 


0.95 


0.32 


0.95 


0.32 


1 


2 


1.90 


0,62 


1,90 


0.63 


1.90 


0.63 


1,89 


0.64 


2 


3 


2.85 


0.93 


2,85 


0.94 


2.84 


0.95 


2.84 


0.96 


3 


4 


3.80 


1.24 


3,80 


1,25 


3,79 


1.27 


3.79 


1.29 


4 


5 


4.76 


1.55 


4.75 


1,57 


4.74 


1.59 


4.73 


1.61 


5 


6 


5.71 


1,85 


5.70 


1,88 


5.69 


1.90 


5.68 


1,93 


6 


7 


6.66 


2.16 


6,65 


2,19 


6,64 


2.22 


6,63 


2,25 


7 


8 


7,61 


2.47 


7,60 


2.51 


7,. 59 


2,54 


7,. 58 


2.57 


8 


9 


8,56 


2,78 


8.55 


2,82 


8.53 


2.86 


8.52 


2.89 


9 


10 


9,51 


3,09 


9.50 


3,13 


9.48 


3.17 


9.47 


3.21 


10 


11 


10.46 


3.40 


10.45 


3.44 


10.43 


3.49 


10,42 


3,54 


11 


12 


11.41 


3.71 


11.40 


3.76 


11.38 


3,81 


11,36 


3,86 


12 


13 


12.36 


4.02 


12.35 


4.07 


12.33 


4.12 


12,31 


4,18 


13 


14 


13,31 


4,33 


13.30 


4.38 


13.28 


4.44 


13,26 


4,50 


14 


15 


14,27 


4,64 


14.25 


4,70 


14.22 


4.76 


14,20 


4.82 


15 


16 


15.22 


4,94 


15.20 


5.01 


15.17 


5.08 


15.15 


5.14 


16 


17 


16.17 


5.25 


16.14 


5.32 


16.12 


5.39 


16,10 


5.46 


17 


18 


17.12 


5,56 


17.09 


5.64 


17.07 


5,71 


17.04 


5.79 


18 


19 


18.07 


5,87 


18.04 


5.95 


18.02 


6.03 


17.99 


6.11 


19 


20 


19,02 


6,18 


18.99 


6.26 


18.97 


6.35 


18.94 


6,43 


20 


21 


19.97 


6,49 


19.94 


6.58 


19.91 


6.66 


19.89 


6,75 


21 


22 


20,92 


6,80 


20.89 


6.89 


20.86 


6,98 


20.83 


7,07 


22 


23 


21,87 


7,11 


21.84 


7.20 


21.81 


7.30 


21.78 


7,39 


23 


24 


22,83 


7,42 


22.79 


7.52 


22.76 


7.62 


22.73 


7.71 


24 


25 


23.78 


7,73 


23.74 


7.83 


23.71 


7,93 


23.67 


8.04 


25 


26 


24.73 


8,03 


24.69 


8.14 


24.66 


8.25 


24.62 


8.36 


26 


27 


25.68 


8,34 


25.64 


8.46 


25,60 


8.57 


25.57 


8.68 


27 


28 


26.63 


8.65 


26.59 


8.77 


26,55 


8,88 


26.51 


9.00 


28 


29 


27.. 58 


8.96 


27.54 


9.08 


27.50 


9.20 


27.46 


9.32 


29 


30 


28,53 


9,27 


28.49 


9.39 


28.45 


9.52 


28,41 


9.64 


30 


31 


29,48 


9,58 


29.44 


9.71 


29.40 


9.84 


29.35 


9.96 


31 


32 


30,43 


9.89 


30.39 


10.02 


30.35 


10,15 


30.30 


10.29 


32 


33 


31,38 


10,20 


31.34 


10.33 


31.29 


10.47 


31.25 


10.61 


33 


34 


32,34 


10,51 


32.29 


10.65 


32 . 24 


10.79 


32.20 


10.93 


34 


35 


33.29 


10.82 


33.24 


10.96 


33.19 


11.11 


33.14 


11.25 


35 


36 


34,24 


11,12 


34.19 


11.27 


34.14 


11.42 


34.09 


11.57 


36 


37 


35,19 


11,43 


35.14 


11.59 


35.09 


11.74 


35.04 


11.89 


37 


38 


36.14 


11.74 


36.09 


11.90 


36.04 


12.06 


35.98 


12.21 


38 


39 


37.09 


12.05 


37,04 


12.21 


36.98 


12.37 


36.93 


12.54 


39 


40 


38,04 


12.36 


37.99 


12.. 53 


37.93 


12.69 


37.88 


12.86 


40 
41 


41 


38.99 


12,67 


38.94 


12.84 


38.88 


13.01 


38.82 


13.18 


42 


39.94 


12.98 


39.89 


13.15 


39.83 


13.33 


39.77 


13.50 


42 


43 


40.90 


13,29 


40.84 


13.47 


40.78 


13.64 


40.72 


13.82 


43 


44 


41.85 


13.60 


41.79 


13.78 


41.73 


13.96 


41.66 


14.14 


44 


45 


42.80 


13.91 


42.74 


14.09 


42.67 


14.28 


42.61 


14.46 


45 


46 


43.75 


14.21 


43.69 


14.41 


43.62 


14.60 


43.56 


14.79 


46 


47 


44.70 


14,. 52 


44.64 


14.72 


44.57 


14.91 


44.51 


15.11 


47 


4« 


45,65 


14,83 


45.59 


15.03 


45.52 


15.23 


45.45 


15.43 


48 


49 


46,60 


15.14 


46.54 


15.35 


46.47 


15,55 


46,40 


r5.75 


49 


50 


47.55 


15,45 


47.48 


15.66 


47.42 


15.87 


47,35 


16.07 


50 


i 

1 

5 


Dep, 


Lat, 


Dep. 


Lat. 


Dep. 


Lat. 
Deg, 


Dep. 


Lat. 


5 


72 1 


)eg. 


711 Deg. 


7U 


Deg. 



TRAVERSE TABLE. 



39 



D 
o 
? 

51 


18 Deg. 


lOi Deg. 


18^ Deg. 


181 Deg. 


(0 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




48.50 


15.76 


48.43 


15.97 


48.36 


16.18 


48.29 


16.39 


51 




52 


49.45 


16.07 


49.38 


16.28 


49.31 


16.50 


49.24 


16.71 


52 




53 


50.41 


16.38 


50.33 


16.60 


50.26 


16.82 


50.19 


17.04 


53 




54 


51.36 


16.69 


51.28 


16.91 


51.21 


17.13 


51.13 


17.36 


54 




55 


52.31 


17.00 


52.23 


17.22 


52.16 


17.45 


52.08 


17.68 


55 




56 


53.26 


17.30 


53.18 


17.54 


53.11 


17.77 


53.03 


18.00 


56 




57 


54.21 


17.61 


54.13 


17.85 


54.05 


18.09 


53.98 


18.32 1 57 




5S 


55.16 


17.92 


55.08 


18.16 


55.00 


18.40 


54.92 


18.64 


58 




59 


56.11 


18.23 


56.03 


18.48 


55.95 


18.72 


55.87 


18.96 


59 




60 

61 


57.06 


18.54 


56.98 


18.79 


156.90 


19.04 


56.82 


19.29 


60 
61 




58.01 


18 85 


57.93 


19.10 


57.85 


19.36 


57.76 


19.61 




62 


58.97 


19.16 


.58.88 


19.42 


58.80 


19.67 


58.71 


19.93 


62 




63 


59.92 


19.47 


59.83 


19.73 


59.74 


19.99 


59.66 


20.25 


63 




64 


60.87 


19.78 


60.78 


20.04 


60.69 


20.31 


60.60 


20.57 


64 




65 


61.82 


20.09 


61.73 


20.36 


61.64 


20.62 


61.55 


20.89 


65 




66 


62.77 


20.40 


62.68 


20.67 


62.59 


20 . 94 


62.50 


21.22 


66 




67 


63.72 


20.70 


63.63 


20.98 


63.54 


21.26 


63.44 


21.54 67 




68 


64.67 


21.01 


64.58 


21.30 


64.49 


21.58 


64.39 


21.86 68 




69 


65.62 


21.32 


65.53 


21.61 


65.43 


21.89 


65.34 


22.18 


69 




70 
71 


66.57 


21.63 


66.48 


21.92 


66.38 


22.21 


66.29 


22.50 


70 

71 




67.53 


21.94 


67.43 


22.23 


67.33 


22.53 


67.23 


22.82 




72 


68.48 


22.25 


68.38 


22.55 


68.28 


22.85 


68.18 


23.14 


72 




73 


69.43 


22.56 


69.33 


22.86 


69.23 


23.16 


69.13 


23.47 


73 




74 


70.. 38 


22.87 


70.28 


23.17 


70.18 


23.48 


70.07 


23.79 


74 




75 


71.33 


23.18 


71.23 


23.49 


71.] 2 


23.80 


71.02 


24.11 


75 




76 


72.28 


23.49 


72.18 


23 . 80 


72.07 


24.12 


71.97 


24.43 


76 




77 


73.53 


23 . 79 


73.13 


24.11 


73.02 


24.43 


72.91 


24.75 


77 




73 


74.18 


24.10 


74.08 


24.43 


73.97 


24.75 


73.86 


25.07 


78 




79 


75.13 


24.41 


75.03 


24.74 


74.92 


25.07 


74.81 


25.39 


79 




80 
81 


76.08 
77.04 


24.72 


75.98 


25.05 


75.87 


25.38 


75.75 


25.72 


80 




25.03 


76.93 


25.37 


76.81 


25.70 


76.70 


26.04 


81 




82 


77.99 


25.34 


77.88 


25.68 


77.76 


26.02 


77.65 


26.36 


82 




83 


78.94 


25.65 


78.83 


25.99 


78.71 


26.34 


78.60 


26.68 


83 




84 


79.89 


25.96 


79.77 


26.31 


79.66 


26.65 


79.54 


27.00 


84 




85 


80.84 


26.27 


80.72 


26.62 


80.61 


26.97 


80.49 


27.. 32 


85 




86 


81.79 


26.58 


81.67 


26.93 


81.56 


27.29 


81.44 


27.64 


86 




87 


82.74 


26.88 


82.62 


27.25 


82.50 


27.61 


82.38 


27.97 


87 




88 


83.69 


27.19 


83.57 


27.56 


83.45 


27.92 1 


83.33 


28.29 


88 




89 


84.64 


27.50 


84.52 


27.87 


84.40 


28.24 


84.28 


28.61 


89 




90 
91 


85.60 


27.81 


85.47 


28.18 


85.. 35 


28.56 


85.22 


28.93 


90 




86.. 55 


28.12 


86.42 


28.50 


86.30 


28.37 


86.17 


29.25 


91 




92 


87.50 


28.43 


87.37 


28.81 


87.25 


29.19 


87.12 


29,57 


92 




93 


88.45 


28.74 


88,32 


29.12 


88.19 


29.51 


88.06 


29.89 


93 




94 


89.40 


29.05 


89.27 


29.44 


89, U 


29.83 


89.01 


30.22 


94 




95 


90.. 35 


29.36 


90.22 


29.75 


90.09 


30.14 


89.96 


30.54 


95 




96 


91.30 


29.67 


91.17 


30.06 


91.04 


30.46 


90.91 


30.86 


96 




97 


92.25 


29.97 


92.12 30.38 1 


91.99 


30.78 


91.85 


31,18 


97 




98 


93.20 


30.28 


93.07 30.69 1 


92.94 


31.10 


92.80 


31.50 


98 




99 


94.15 


30.59 


94.02 31.00 1 


93.88 


31.41 


93.75 


31.82 


99 




100 

O 

c 

OB 

Q 


95.11 


30.90 


94.97 31.32| 


94.83 


31.73 


94.69 


32.14 


100 




Dep. 


Lat. 


Dep. 


Lat. 1 


Dep. 


Lat. 


Dep. 


Lat. 


1 




72 Deg. 


711 Deg. 


711 Deg. 


7U Deg. 





40 



travebst: tablf. 



IT 

p 


19 Deg. 


m Deg. 


m 


Deg. 


19| Deg. 


3 
O 


1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 
0.33 


Lat. 


Dep. 


1 


0.95 


0.33 


0.94 


0.33 


0.94 


0.94 


0.34 


1 


2 


1.89 


0.65 


1.89 


0.66 


1.89 


0.67 


1.88 


0.68 


2 


B 


2.84 


0.98 


2.83 


0.99 


2.83 


1.00 


2.82 


1.01 


3 


4 


3.78 


1.30 


3.78 


1.32 


3.77 


1.34 


3.76 


1.35 


4 


5 


4.73 


1.63 


4.72 


1.65 


4.71 


1.67 


4.71 


1.69 


5 


6 


5.67 


1.95 


5.66 


1.98 


5.66 


2.00 


5.65 


2.03 


6 


7 


6.62 


2.28 


6.G1 


2.31 


6.60 


2.34 


6.. 59 


2.37 


7 


8 


7.56 


2.60 


7.55 


2.64 


7.54 


2.67 


7.53 


2.70 


8 


9 


8.51 


2.93 


8.50 


2.97 


8.48 


3.00 


8.47 


3.04 


9 


10 


9.46 


3.26 


9.44 


3.30 


9.43 


3.34 


9.41 


3.38 


10 


11 


10.40 


3.58 


10.38 


3.63 


10.37 


3.67 


10.35 


3.72 


11 


12 


11.35 


3.91 


11.33 


3.96 


11.31 


4.01 


11.29 


4.06 


12 


13 


12.29 


4.23 


12.27 


4.29 


12.25 


4.34 


12.24 


4.39 


13 


14 


13.24 


4.56 


13.22 


4.62 


13.20 


4.67 


13.18 


4.73 


14 


15 


14.18 


4.88 


14.16 


4.95 


14.14 


5.01 


14.12 


5.07 


15 


16 


15.13 


5.21 


15.11 


5.28 


15.08 


5.34 


15.06 


5.41 


16 


17 


16.07 


5.53 


16.05 


5.60 


16.02 


5.67 


16.00 


5.74 


17 


18 


17.02 


5.86 


16.99 


5.93 


16.97 


6.01 


16.94 


6.08 


18 


19 


17.96 


6.19 


17.94 


6.26 


17.91 


6.34 


17.88 


G.42 


19 


20 


18.91 


6.51 


18.88 


6.59 


18.85 


6.68 


18.82 


6.76 


20 

21 


21 


19.66 


6.84 


19.83 


6.92 


19.80 


7.01 


19.76 


7.10 


22 


20.80 


7.16 


20.77 


7.25 


20.74 


7.34 


20.71 


7.43 


22 


23 


21.75 


7.49 


21.71 


7.58 


21.68 


7.68 


21.65 


7.77 


23 


24 


22.69 


7.81 


22.66 


7.91 


22.62 


8.01 


22.59 


8.11 


24 


25 


23.64 


8.14 


23.60 


8.24 


23.57 


8.35 


23.. 53 


8.45 


25 


26 


24.58 


8.46 


24.55 


8.57 


24.51 


8.68 


24.47 


8.79 


26 


27 


25.53 


8.79 


25.49 


8.90 


25.45 


9.01 


25.41 


9.12 


27 


28 


26.47 


9.12 


26.43 


9.23 


26.39 


9.35 


26.35 


9.46 


28 


29 


27.42 


9.44 


27.38 


9.56 


27.34 


9.68 


27.29 


9.80 


29 


30 


28.37 


9.77 


28.32 


9.89 


28.28 
29.22 


10.01 


28.24 


10.14 


30 


31 


29.31 


10.09 


29.27 


10.22 


10.35 


29.18 


10.48 


31 


32 


30.26 


10.42 


30.21 


10.55 


30.16 


10.68 


30.12 


10.81 


32 


33 


31.20 


10.74 


31.15 


10.88 


31.11 


11.02 


31.06 


11.15 


33 


34 


32.15 


11.07 


32.10 


11.21 


32.05 


11.35 


32.00 


11.49 


34 


35 


33.09 


11.39 


33.04 


11.54 


32.99 


11.68 


32.94 


11.83 


35 


36 


34.04 


11.72 


33.99 


11.87 


33.94 


12.02 


33.88 


12.17 


36 


37 


34.98 


12.05 


34.93 


12.20 


34.88 


12.35 


34.82 


12.50 


37 


38 


35.93 


12.37 


35.88 


12.53 


35.82 


12.68 


35.76 


12.84 


38 


39 


36.88 


12.70 


36.82 


12.86 


36.76 


13.02 


36.71 


13.18 


39 


40 


37.82 


13.02 


37.76 


13.19 


37.71 


13.35 


37.65 


13.52 
13.85 


40 
41 


41 


38.77 


13.35 


38.71 


13.52 


38.65 


13.69 


38.59 


42 


39.71 


13.67 


39.65 


13.85 


39.59 


14.02 


39.53 


14.19 


42 


43 


40.66 


14.00 


40.60 


14.18 


40.53 


14.35 


40.47 


14.53 


43 


44 


41.60 


14.32 


41.54 


14.51 


41.48 


14.69 


41.41 


14.87 


44 


45 


42.55 


14.65 


42.48 


14.84 


42.42 


15.02 


42.35 


15.21 


45 


46 


43.49 


14.98 


43.43 


15.17 


43.36 


15.36 


43.29 


15.54 


46 


47 


44.44 


15.30 


44.37 


15.50 


44.30 


15.69 


44.24 


15.88 


47 


48 


45.38 


15.63 


45.32 


15.83 


45.25 


16.02 


45.18 


16.22 


48 


49 


46.33 


15.95 


46.26 


16.15 


46.19 


16.36 


46.12 


16.56 


49 


50 


47.28 


16.28 


47.20 


16.48 


47.13 


16.69 


47.06 


16.90 


50 


o 

c 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


6 
o 

c 


















^ 


Q 


71] 


3eg. 


701 Deg. 


70| 


Deg. 


70J 


Deg. 


Q 



TRAVERSE TABLE. 



41 



3 
n 
? 

51 


19 Deg. 


19^ Deg. 


191 Dog. 


191 Deg. 


O 

3 
o 
a 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


48.22 


16.60 


48.15 


16.81 


48.07 


17.02 


48.00 


17.23 


52 


49.17 


16.93 


49.09 


17.14 


49.02 


17.36 


48.94 


17.57 


52 


53 


50.11 


17.26 


50.04 


17.47 


49.96 


17.69 


49.88 


17.91 


53 


54 


51.06 


17.58 


50.98 


17.80 


50.90 


18.03 


.50.82 


18.25 


54 


55 


52.00 


17.91 


51.92 


18.13 


51.85 


18.36 


51.76 


18.59 


55 


56 


52.95 


18.23 


52.87 


18.46 


.52.79 


18.69 


52.71 


18.92 


56 


57 


53.89 


18.56 


53.81 


18.79 


53.73 


19.03 


53.65 


19.26 


57 


58 


54.84 


18.88 


54.76 


19.12 


54.67 


19.36 


54.59 


19.60 


58 


59 


55.79 


19.21 


55.70 


19.45 


55.62 


19.69 


55.53 


19.94 


59 


60 
61 


56.73 


19.53 


56.65 


19.78 


56.56 


20.03 
20.36 


56.47 


20.27 


60 
61 


57.68 


19.86 


57.59 


20.11 


57.50 


57.41 


20.61 


62 


58.62 


20.19 


5a. 53 


20.44 


58.44 


20.70 


58.35 


20.95 


62 


63 


59.57 


20.51 


59.48 


20.77 


59.39 


21.03 


59.29 


21.29 


63 


64 


60.51 


20.84 


60.42 


21.10 


60.33 


21.36 


60.24 


21.63 


64 


65 


61.46 


21.16 


61.37 


21.43 


61.27 


21.70 


61.18 


21.96 


65 


66 


62.40 


21.49 


62.31 


21.76 


62.21 


22.03 


62.12 


22.30 


66 


67 


63.35 


21.81 


63.25 


22.09 


63.16 


22.37 


63.06 


22.64 


67 


68 


64.30 


22.14 


64.20 


22.42 


64.10 


22.70 


64.00 


22.98 


68 


69 


65.24 


22.40 


65.14 


22.75 


65.04 


23.03 


64.94 


23.32 


69 


70 
71 


06.19 


22 . 79 


66.09 


23.08 


65.98 


23.37 


65.88 


23.65 


70 
71 


67.13 


23 . 12 


67.03 


23.41 


66.93 


23.70 


66.82 


23.99 


72 


08.08 


23.44 


67.97 


23.74 


67.87 


24.03 


67.76 


24.33 


72 


73 


69.02 


23.77 


68.92 


24.07 


68.81 


24.37 


68.71 


24.67 


73 


74 


69.97 


24.09 


69.86 


24.40 


69.76 


24.70 


69.65 


25.01 


74 


75 


70.91 


24.42 


70.81 


24.73 


70.70 


25.04 


70.59 


25.34 


75 


76 


71.86 


24.74 


71.75 


25.06 


71.64 


25.37 


71.53 


25.68 


76 


77 


72.80 


25.07 


72.69 


25.39 


72.58 


25.70 


72.47 


26.02 


77 


78 


73.75 


25.39 


73.64 


25.72 


73.53 


26.04 


73.41 


26.36 


78 


79 


74.70 


25.72 


74.58 


26.05 


74.47 


26.37 


74.35 


26.70 


79 


80 

81 


75.64 


26.05 


75.. 53 


26.38 


75.41 


26.70 


75.29 


27.03 


80 
81 


76.59 


26.37 


76.47 


26.70 


76.35 


27.04 


76.24 


27.37 


82 


77.53 


26.70 


77.42 


27.03 


77.30 


27.37 


77.18 


27.71 


82 


83 


78.48 


27.02 


78.36 


27.36 


78.24 


27.71 


78.12 


28.05 


83 


84 


79.42 


27.35 


79.30 


27.69 


79.18 


28.04 


79.06 


28.39 


84 


85 


80.37 


27.67 


80.25 


28.02 


80. 12 128.37 


80.00 


28.72 


85 


86 


81.31 


28.00 


81.19 


28.35 


81.07 


28.71 


80.94 


29.06 


86 


87 


82.26 


28.32 


82.14 


28.68 


82.01 


29.04 


81.88 


29.40 


87 


88 


83.21 


28.65 


83.08 


29.01 


92.95 


29.37 


82.82 


29.74 


88 


89 


84.15 


28.98 


84.02 


29.34 


83.90 


29.71 


83.76 


30.07 


89 


90 
91 


85.10 


29.30 


84.97 


29.67 


84.84 


30.04 


84.71 


30.41 


90 
91 


86.04 


29 . 63 


85.91 


30.00 


85.78 


30.38 


85.65 


30.75 


92 


86.99 


29.95 


86.86 


30.33 


86.72 


30.71 


86.59 


31.09 


92 


93 


87.93 


30.28 


87.80 


30.66 


87.67 


31.04 


87.53 


31.43 


93 


94 


88.88 


30.60 


88.74 


30.99 


88.61 


31.38 


88.47 


31.76 


94 


95 


89.82 


30.93 


89.69 


31.32 


89.55 


31.71 


89.41 


32.10 


95 


96 


90.77 


31.25 


90.63 


31.65 


90.49 


32.05 


90.35 


32.44 


96 


97 


91.72 


31.58 


91.58 


31.98 


91.44 


32.38 


91.29 


32.78 


97 


98 


92.66 


31.91 


92.52 


32.31 


92.38 


32.71 


92.24 


33.12 


98 


99 


93.61 


32.23 


93.46 


32.64 


93.32 


33.05 


93.18 


33.45 


99 


100 

§ 

c 

5 

01 


94.. 55 


32 . 56 


94.41 


32.97 


94.26 


33.38 


94.12 


33.79 


100 

~i 

c 
Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


71 Deg. 


701 Deg. 


70^ Deg. 


70J Deg. 



42 



TRAVERSE TABLE. 



o 

a 
? 
1 


20 


Deg. 


20i Deg. 


20^ 


Deg. 


20i Deg. 


a 

P 

3 

1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.94 


0.34 


0.94 


0.35 


0.94 


0.35 


0.94 


0.35 


2 


1.88 


0.68 


1.88 


0.69 


1.87 


0.70 


1.87 


0.71 


2 


3 


2.82 


1.03 


2.81 


1.04 


2.81 


1.05 


2.81 


1.06 


3 


4 


3.76 


1.37 


3.75 


1.38 


3.75 


1.40 


3.74 


1.42 


4 


5 


4.70 


1.71 


4.69 


1.73 


4.68 


1.75 


4.68 


1.77 


5 


6 


5.64 


2.05 


5.63 


2.08 


5.62 


2.10 


5.61 


2.13 


6 


7 


6.58 


2.39 


6.57 


2.42 


6.56 


2.45 


6.55 


2.48 


7 


8 


7.52 


2.74 


7.51 


2.77 


7.49 


2.80 


7.48 


2.83 


8 


9 


8.46 


3.08 


8.44 


3.12 


8.43 


3.15 


8.42 


3.19 


9 


10 
11 


9.40 


3.42 


9.38 


3.46 


9.37 


3.50 


9.35 


3.54 


10 
. 11 


10.34 


3.76 


10.32 


3.81 


10.30 


3.85 


10.29 


3.90 


12 


11.28 


4.10 


11.26 


4.15 


11.24 


4.20 


11.22 


4.25 


12 


13 


12.22 


4.45 


12.20 


4.50 


12.18 


4.55 


12.16 


4.61 


13 


14 


13.16 


4.79 


13.13 


4.85 


13.11 


4.90 


13.09 


4.96 


14 


15 


14.10 


5.13 


14.07 


5.19 


14.05 


5.25 


14.03 


5.31 


15 


16 


15.04 


5.47 


15.01 


5.54 


14.99 


5.60 


14.96 


5.67 


16 


17 


15.97 


5.81 


15.95 


5.88 


15.92 


5.95 


15.90 


6.02 


17 


18 


16.91 


6.16 


16.89 


6.23 


16.86 


6.30 


16.83 


6.38 


18 


19 


17.85 


6.50 


17.83 


6.58 


17.80 


6.65 


17.77 


6.73 


19 


20 
21 


18.79 


6.84 


18.76 


6.92 


18.73 


7.00 


18.70 


7.09 


20 
21 


19.73 


7.18 


19.70 


7.27 


19.67 


7.35 


19.64 


7.44 


22 


20.67 


7.52 


20.64 


7.61 


20.61 


7.70 


20.57 


7.79 


22 


23 


21. CI 


7.87 


21.58 


7.96 


21.54 


8.05 


21.51 


8.15 


23 


24 


22.55 


8.21 


22.52 


8.31 


22.48 


8.40 


22.44 


8.50 


24 


25 


23.49 


8.55 


23.45 


8.65 


23.42 


8.76 


23.38 


8.86 


25 


26 


24.43 


8.89 


: 24.39 


9.00 


24.35 


9.11 


24.31 


9.21 


26 


27 


25.37 


9.23 


125.33 


9.35 


25.29 


9.46 


25.25 


9.57 


27 


28 


26.31 


9.58 


126.27 


9.69 


26.23 


9.81 


26.18 


9.92 


28 


29 


27.25 


9.92 


27.21 


10.04 


27.16 


10.16 


27.12 


10.27 


29 


30 
31 


28.19 
29.13 


10.26 
10.60 


28.15 


10.38 


28.10 


10.51 


28.05 
28.99 


10.63 
10.98 


30 
31 


29.08 


10.73 


29.04 


10.86 


32 


30.07 


10.94 


30.02 


11.08 


29.97 


11.21 


29.92 


11.34 


32 


33 


31.01 


11.29 


130.96 


11.42 


30.91 


11.56 


30.86 


11.69 


33 


34 


31.95 


11.63 


31.90 


11.77 


31.85 


11.91 


31.79 


12.05 


34 


35 


32.89 


11.97 


! 32.84 


12.11 


32.78 


12.26 


32.73 


12.40 


35 


36 


33.83 


12.31 


133.77 


12.46 


33.72 


12.61 


33.66 


12.75 


36 


37 


34.77 


12.65 


134.71 


12.81 


34.66 


12.96 


34.60 


13.11 


37 


38 


35.71 


13.00 


i 35 . 65 


13.15 


35.59 


13.31 


35.54 


13.46 


38 


39 


36.65 


13.34 


! 36 . 59 
i37..'33 


13.50 


36.. 53 


13.66 


36.47 


13.82 


39 


40 


37.59 


13.68 
14.02 


13.84 


37.47 


14.01 


37.41 


14.17 


40 
41 


41 38.53 


38.47 


14.19 


.38.40 


14.36 


38.. 34 


14.53 


42 39.47 


14.36 


i 39.40 


14.54 


39.34 


14.71 


39.28 


14.88 


42 


43 40.41 


14.71 


S 40.34 


14.88 


40.28 


15.06 


40.21 


15.23 


43 


44 41.35 


15.05 


'41.28 


15.23 


41.21 


15.41 


41.15 


15.59 


44 


45 142.29 


15.39 


1 42.22 


15.58 


42.15 


15.76 


42.08 


15.94 


45 


46 143.23 


15.73 


143.16 


15.92 


43.09 


16.11 


43.02 


16.30 


46 


47 i 44.17 


16.07 


44.09 


16.27 


44.02 


16.46 


43.95 


16.65 


47 


48 145.11 


16.42 


45.03 


16.61 


44.96 


16.81 


44.89 


17.01 


48 


49 146.04 


16.76 


45.97 


16.96 


45.90 


17.16 


45.82 


17.36 


49 


50 


46.98 


17.10 


46.91 


17.31 


46.83 


17.51 


46.76 


17.71 


50 

i 

c 
S 




Dep. 

70] 


Lat. 

Deg. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




691 


Deg. 


6n 


Deg. 


m Deg. 



TRAVERSE TABLE. 



49 



3 

n 

? 

~51 


20 Deg. 


20i Deg. 


201 Deg. 


201 Deg. 




1 

CD 

"51 




Lat. 


Dep. 


Lat. 


Dep. 
"17.65 


Lat. 

47.77 


Dep. 


Lat. 


Dep. 




47.92 


17.44 


47.85 


17.86 1 


47.69 


18.07 




52 


48.86 


17.79 


48.79 


18.00 


48.71 


18.21 i 


48.63 


18.42 


52 




53 


49.80 


18.13 


49.72 


18.34 


49.64 


18.56 1 


49.56 


18.78 


.53 




54 


50.74 


18.47 


50.66 


18.69 


.50.58 


18.91 


50.50 


19.13 


54 




55 


51.68 


18.81 


51.60 


19.04 


51.52 


19.26 


51.43 


19.49 


55 




56 


52.62 


19.15 


52.54 


19.38 


52.45 


19.61 1 


52.37 


19.84 


56 




57 


53.56 


19.50 


53.48 


19.73 


53.39 


19.96 


53.30 


20.19 


57 




58 


54.50 


19.84 


54.42 


20.07 


54.33 


20.31 


.54.24 


20.55 


58 




59 


55.44 


20.18 


55.35 


20.42 


55.26 


20.661 


55.17 


20.90 


59 




60 
61 


56.38 


20.. 52 


56.29 


20.77 


56.20 
57.14 


21.01 i 
21.36, 


56.11 


21.26 


60 
61 




57.32 


20.86 


57.23 


21.11 


57.04 


21.61 




62 


58.26 


21.21 


58.17 


21.46 


.58.07 


21.711 


57.98 


21.97 


62 




63 


59.20 


21.55 


59.11 


21.81 


59.01 


22.06 1 


58.91 


22 . 32 


63 




64 


60.14 


21.89 


60.04 


22.15 


59.95 


22.41 i 


59.85 


22.67 


64 




65 


61.08 


22.23 i 


60.98 


22.50 


60.88 


22.76 


60.78 


23.03 


65 




66 


62.02 


22.57 1 


61.92 


22.84 


61.82 


23.11 


61.72 


23.38 


66 




67 


62.96 


22.92 i 


62.86 


23.19 


62.76 


23.46 


62.65 


23.74 


67 




68 


63.90 


23.26 ; 


63.80 


23.54 


63.69 


23.81 


63.59 


24.09 


68 




69 


64.84 


23.60; 


64.74 


23.88 


64.63 


24.16 


64.52 


24.45 


69 




70 
71 


65 . 78 
66.72 


23.94; 

24.28 i 


65.67 


24.23 


65.57 


24.51 


65.46 


24.80 


70 
71 




66.61 


24.57 


66.50 


24.86 


66.39 


25.15 




72 


67.66 


24.63 


67.55 


24.92 


67.44 


25.21 


67.33 


25.51 


72 




73 


68.60 


24.97 ; 


68.49 


25.27 


68.38 


25.57 


68.26 


25.86 


73 




74 


69.54 


25.31 


69.43 


25.61 


69.31 


25.92 


69.20 


26.22 


74 




75 


70.48 


25.65 


70.36 


25.96 


70.25 


26.27 


70.14 


26.57 


75 




76 


71.42 


25.99 


71.30 


26.30 


71.19 


26.62 


71.07 


26.93 


76 




77 


72.36 


26.34 


72.24 


26.65 


72.12 


26.97 


72.01 


27.28 


77 




78 


73.30 


26.68 


73.18 


27.00 


73.06 


27.32 


72.94 


•27.63 


78 




79 


74.24 


27.02! 


74.12 


27.34 


74.00 


27.67 


73.88 


27.99 


79 




80 
81 


75.18 


27.36! 


75.06 


27.69 


74.93 


28.02 


74.81 


28.34 


80 
81 




76.12 


27.70, 


75.99 


28.04 


75.87 


28.37 


75.75 


28.70 




82 


77.05 


28.05! 


76.93 


28.38 


76.81 


28.72 


76.68 


29.05 


82 




83 


77.99 


28.39 


77.87 


28.73 


77.74 


29.07 


77.62 


29.41 


83 




84 


78.93 


28.73 1 


78.81 


29.07 


78.68 


29.42 


78.55 


29.76 


84 




85 


79.87 


29.07 


79.75 


29.42 


79 . 62 


29.77 


179.49 


31). 11 


85 




86 


80.81 


29.41 


80.68 


29.77 


80.. 55 


30.12 


80.42 


30.47 


86 




87 


81.75 


29.76 


81.62 


30.11 


81.49 


30.47 


81.36 


30.82 


87 




88 


82.69 1 30.10 


82.56 


.30.46 


82.43 


.30.82 


82.29 


31.18 


88 




89 


83.63 .30.44 


83.50 


30.80 


83.36 


31.17 


183.23 


31.53 


89 




90 
91 


84.57! 30.78 


84.44 


31.15 


84.30 


31.52 


84.16 


31.89 


90 
91 




85.51 


31.12 


85.38 


31.50 


85.24 


31.87 


; 85.10 


32.24 




92 


86.45 


31.47 


86.31 


31.84 


86.17 


32.22 


86.03 


32.59 


92 




93 


87.. 39 


31.81 


87.25 


32.19 


87.11 


32.57 


i 86.97 


.32.95 


93 




94 


88.33! 32.15 


88.19 


32.54 


88.05 


32.92 


187.90 


33.30 


94 




95 


89.27 


32.49 


89.13 


32.88 


88.98 


33.27 


88.84 


33.66 


95 




96 


90.21 


32.83 


90.07 


33.23 


89.92 


33.62 


89.77 


34.01 


96 




97 


91.15 


33.18 


91.00 


33.57 


90.86 


33.97 


90.71 


34.37 


97 




98 


92.09 


33.52 


91.94 


33.92 


91.79 


34.32 


91.64 


34.72 


98 




99 


93.03 


33.86 


92.88 


34.27 


92.73 


.34.67 


92.58 


35.07 


99 




100 

s 

c 

s 

.2 

Q 


93.97 


34.20 


93.82 


34.61 


93.67 


35.02 


93.51 


35.43 


100 



c 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




70 Deg. 


691 Deg. 


69i Deg. 


69i Deg. 





44 



TRAVERSE TABLE. 



1 


21 ] 


Deg. 


21i Deg. 


2U- 


Deg. 


2U Deg. 


3 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.93 


0.36 


0.93 


0.36 


0.93 


0.37 


0.93 


0.37 


1 


2 


1.87 


0.72 


1.86 


0.72 


1.86 


0.73 


1.86 


0.74 


2 


3 


2.80 


1.08 


2.80 


1.09 


2.79 


1.10 


2.79 


1.11 


3 


4 


3.73 


1.43 


3.73 


1.45 


3.72 


1.47 


3.72 


1.48 


4 


6 


4.67 


1.79 


4.66 


1.81 


4.65 


1.83 


4.64 


1.85 


5 


6 


5.60 


2.15 


5.59 


2.17 


5.58 


2.20 


5.57 


2.22 


6 


7 


6.54 


2.51 


0.52 


2.54 


6.51 


2.57 


6.50 


2.59 


7 


8 


7.47 


2.87 


7.46 


2.90 


7.44 


2.93 


7.43 


2.96 


8 


9 


8.40 


3.23 


8.39 


3.26 


8.37 


3.30 


8.36 


3.34 


9 


10 
11 


9.34 


3.58 


9.32 


3.62 


9.30 


3.67 


9.29 


3.71 


10 
11 


10.27 


3.94 


10.25 


3.99 


10.23 


4.03 


10.22 


4.08 


12 


11.20 


4.30 


11.18 


4.35 


11.17 


4.40 


11.15 


4.45 


12 


13 


12.14 


4.66 


12.12 


4.71 


12.10 


4.76 


12.07 


4.82 


13 


14 


13.07 


5.02 


13.05 


5.07 


13.03 


5.13 


13.00 


5.19 


14 


15 


14.00 


5.38 


13.98 


5.44 


13.96 


5.50 


13.93 


5.56 


15 


16 


14.94 


5.73 


14.91 


5.80 


14.89 


5.86 


14.86 


5.93 


16 


17 


15.87 


6.09 


15.84 


6.16 


15.82 


6.23 


15.79 


6.30 


17 


18 


16.80 


6.45 


16.78 


6.52 


16.75 


6.60 


16.72 


6.67 


18 


19 


17.74 


6.81 


17.71 


6.89 


17.68 


6.96 


17.65 


7.04 


19 


20 


18.67 


7.17 


18.64 


7.25 


18.61 


7.33 


18.58 


7.41 


20 


21 


19.61 


7.53 


19.57 


7.61 


19.54 


7.70 


19.50 


7.78 


21 


22 


20.54 


7.88 


20.50 


7.97 


20.47 


8.06 


20.43 


8.15 


22 


23 


21.47 


8.24 


21.44 


8.34 


21.40 


8.43 


21.36 


8.52 


23 


24 


22.41 


8.60 


22.37 


8.70 


22.33 


8.80 


22.29 


8.89 


24 


25 


23.34 


8.96 


23.30 


9.06 


23.26 


9.16 


23.22 


9.26 


25 


26 


24.27 


9.32 


24.23 


9.42 


24.19 


9.53 


24.15 


9.63 


26 


27 


25.21 


9.68 


25.16 


9.79 


25.12 


9.90 


25.08 


10.01 


27 


28 


26.14 


10.03 


26.10 


10.15 


26.05 


10.26 


26.01 


10.38 


28 


29 


27.07 


10.39 


27.03 


10.51 


26.98 


10.63 


26.94 


10.75 


29 


30 
31 


28.01 


10.75 


27.96 


10.87 


27.91 


11.00 


27.86 


n.i2 


30 


28.94 


11.11 


28.89 


11.24 


28.84 


11.36 


28.79 


11.49 


31 


32 


29.87 


11.47 


29.82 


11.60 


29.77 


11.73 


29.72 


11.86 


32 


33 


30.81 


11.83 


30.76 


11.96 


30.70 


12.09 


30.65 


12.23 


33 


34 


31.74 


12.18 


31.69 


12.32 


31.63 


12.46 


31.58 


12.60 


34 


35 


32.68 


12.54 


32.62 


12.69 


32.56 


12.83 


32.51 


12.97 


35 


36 


33.61 


12.90 


33.55 


13.05 


33.50 


13.19 


33.44 


13.34 


36 


37 


34.54 


13.26 


34.48 


13.41 


34.43 


13.56 


34.37 


13.71 


37 


38 


35.48 


13.62 


35.42 


13.77 


35.36 


13.93 


35.29 


14.08 


3S 


39 


36.41 


13.98 


36.35 


14.14 


36.29 


14.29 


36.22 


14.45 


39 


40 
41 


37.34 


14.33 


37.28 


14.50 


37.22 


14.66 


37.15 


14.82 


40 
41 


38.28 


14.69 


38.21 


14.86 


38.15 


15.03 


38.08 


15.19 


49, 


39.21 


15.05 


39.14 


15.22 


39.08 


15.39 


39.01 


15.56 


42 


43 


40.14 


15.41 


40.08 


15.58 


40.01 


15.76 


39.94 


15.93 


43 


44 


41.08 


15.77 


41.01 


15.95 


40.94 


16.13 


40.87 


16.30 


44 


45 


42.01 


16.13 


41.94 


16.31 


41.87 


16.49 


41.80 


16.68 


45 


46 


42.94 


16.48 


42.87 


16.67 


42.80 


16.86 


42.73 


17.05 


46 


47 


43.88 


16.84 


43.80 


17.03 


43.73 


17.23 


43.65 


17.42 


47 


48 


44.81 


17.20 


44.74 


17.40 


44.66 


17.59 


44.58 


17.79 


48 


49 


45.75 


17.56 


45.67 


17.76 


45.59 


17.96 


45.51 


18.16 


49 


50 


46.68 


17.92 


46.60 


18.12 


46.52 


18.33 


46.44 


18.53 


50 


1 
.2 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


i 
3 

.2 

Q 


69 Deg. 


68| 


Deg. 


681 


Deg. 


68i Deg. 

1 



TRAVERSE TABLE. 



45 



5 
s 

"51 


21 Deg. 


2U Deg. 


21 j Deg. 


211 Deg. 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


47.61 


18.28 


47.53 


18.48 


47.45 


18.69 


47.37 


18.90 


51 


52 


48.55 


18.64 


48.46 


18.85 


48.38 


19.06 


48.30 


19.27 


52 


53 


49.48 


18.99 


49.40 


19.21 


49.31 


19.42 


49.23 


19.64 


53 


54 


50,41 


19.35 


50.33 


19.57 


50.24 


19.79 


50.16 


20.01 


54 


55 


51.35 


19.71 


51.26 


19.93 


51.17 


20.16 


51.08 


20.38 


55 


56 


52.28 


20.07 


.52.19 


20.30 


52.10 


20.52 


.52.01 


20.75 


56 


57 


53.21 


20.43 


53.12 


20.66 


53.03 


20.89 


52.94 


21.12 


57 


58 


54.15 


20.79 


54.06 


21.02 


53.96 


21.26 


.53.87 


21.49 


58 


59 


55.08 


21.14 


54.99 


21.38 


54.89 


21.62 


54.80 


21.86 


59 


60 
61 


56.01 


21.50 


55.92 


21.75 


55.83 


21.99 


.55 . 73 


22.23 


60 


56.95 


21.86 


56.85 


22.11 


66.76 


22.36 


56.66 


22.60 


61 


62 


57.88 


22.22 


57.78 


22.47 


57.69 


22.72 


57.59 


22.97 


62 


63 


58.82 


22 . 58 


58.72 


22.83 


58.62 


23.09 


.58.52 


23.35 


63 


64 


.59.75 


22.94 


59.65 


23.20 


59.55 


23.46 


59.44 


23.72 


64 


65 


60.68 


23.29 


60.58 


23.56 


60.48 


23.82 


60.37 


24.09 


65 


66 


61.62 


23.65 


61.51 


23.92 


01.41 


24.19 


61.30 


24.46 


66 


67 


62.55 


24.01 


62.44 


24.28 


62.34 


24.56 


62.23 


24.83 


67 


68 


63.48 


24.37 


63.38 


24.65 


63.27 


24.92 


63.16 


25.20 


68 


69 


64.42 


24.73 


64.31 


25.01 


64.20 


25.29 


64.09 


25.57 


69 


70 
71 


65.35 


25.09 


65.24 
66.17 


25.37 


65.13 


25.66 


65.02 


2.5.94 


70 
71 


66.28 


25.44 


25.73 


66.06 


26.02 


65.95 


26.31 


72 


67.22 


25.80 


67.10 


26.10 


66.99 


26.39 


66.87 


26.68 


72 


73 


68.15 


26.16, 


68.04 


26.46 


67.92 


26.75 


67.80 


27.05 


73 


74 


69.08 


26.52 


68.97 


26.82 


68.85 


27.12 


68.73 


27.42 


74 


75 


70.02 


26.88 


69.90 


27.18 


69.78 


27.49 


69.66 


27.79 


75 


76 


70.95 


27.24 


70.83 


27.55 


70.71 


27.85 


70.. 59 


28.16 


76 


77 


71.89 


27.59 


71.76 


27.91 


71.64 


28.22 


71.52 


28.53 


77 


78 


72.82 


27.95 


72.70 


28.27 


72.57 


28.59 


72.45 


28.90 


78 


79 


73.75 


28.31 


73.63 


28.63 


73.50 


28.95 


73.. 38 


29.27 


79 


80 
81 


74.69 


28.67 


74.. 56 


29.00 


74.43 


29.32 


74.30 


29.64 
30.02 


80 
81 


75.62 


29.03 


75.49 


29.36 


75.36 


29.69 


75.23 


82 


76.55 


29.39 


76.42 


29.72 


76.29 


30.05 


76.16 


30.39 


82 


83 


77.49 


29.74 


77.36 


30.08 


77.22 


30.42 


77.09 


30.76 


83 


84 


78.42 


30.10 


78.29 


30.44 


78.16 


30.79 


78.02 


31.13 


84 


85 


79.35 


30.46 


79.22 


30.81 


79.09 


31.15 


78.95 


31.50 


85 


86 


80.29 


30.82 


80.15 


31.17 


80.02 


31.52 


79.88 


31.87 


86 


87 


81.22 


31.18 


81.08 


31.53 


80.95 


31.89 


80.81 


32.24 


87 


88 


82.16 


31.54 


82.02 


31.89 


81.88 


32.25 


81.74 


32.61 


88 


89 


83.09 


31.89 


82.95 


32.26 


82.81 


32.62 


82.66 


32.98 


89 


90 
91 


84.02 


32.25 


83.88 


32.62 


83.74 


32.99 


83.59 


33.35 


90 


84.96 


32.61 


84.81 


32.98 


84.67 


33.35 


84.52 


33.72 


91 


92 


85.89 


32.97 


85.74 


33.34 


85.60 


33.72 


85.45 


34.09 


92 


93 


86.82 


33.33 


86.68 


33.71 


86.. 53 


34.08 


86.38 


34.46 


93 


94 


87.76 


33.69 


87.61 


34.07 


87.46 


34.45 


87.31 


34.83 


94 


95 


88.69 


34.04 


88.54 


34.43 


88.39 


34.82 


88.24 


.35.20 


95 


96 


89.62 


34.40 


89.47 


34.79 


89.32 


35.18 


89.17 


35.57 


96 


97 


90.56 


34.76 


90.40 


35.16 


90.25 


35.55 


90.09 


35.94 


97 


98 


91.49 


35.12 


91.34 


35.52 


91.18 


35.92 


91.02 


36.31 


98 


99 


92.42 


35.48 


92.27 


35.88 


ll 92.11 


36.28 


91.95 


36.69 


99 


100 

§ 

1 


93.36 


35.84 


1 93.20 


36.24 li 93.04 


36.65 


92.88 


37.06 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


6 

c 

Q 


69 Deg. 


681 Deg. 


68^ Deg. 


68i Deg. 



40 



Traverse TAstfi. 



5 

n 

1 

o 


22 


Deg. 


22k Deg. 


22i 


Deg. 


22| Deg. 


1 

1 


Lai. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.93 


0.37 


0.93 


0.38 


0.92 


0.38 


0.92 


0.39 


2 


1.85 


0.75 


1.85 


0.76 


1.85 


0.77 


1.84 


0.77 


2 


3 


2.78 


1.12 


2.78 


1.14 


2.77 


1.15 


2.77 


1.16 


3 


4 


3.71 


1.50 


3.70 


1.51 


3.70 


1.53 


3.69 


1.55 


4 


5 


4.64 


1.87 


4.63 


1.89 


4.62 


1.91 


4.61 


1.93 


5 


6 


5.56 


2.25 


5.55 


2.27 


5.54 


2.30 


5.53 


2.32 


6 


7 


6.49 


2.62 


6.48 


2.65 


6.47 


2.68 


6.46 


2.71 


7 


8 


7.42 


3.00 


7.40 


3.03 


7.39 


3.06 


7.38 


3.09 


8 


9 


8.34 


3.37 


8.33 


3.41 


8.31 


3.44 


8.30 


3.48 


9 


10 
11 


9.27 


3.75 


9.26 


3.79 


9.24 
10.16 


3.83 


9.22 


3.87 


10 


10,20 


4.12 


10.18 


4.17 


4.21 


10.14 


4.25 


11 


12 


11.13 


4.50 


11.11 


4v54 


11.09 


4.59 


11.07 


4.64 


12 


13 


12.05 


4.87 


12.03 


4.92 


12.01 


4.97 


11.99 


5.03 


13 


14 


12.98 


6.24 


12.96 


5.30 


12.93 


5.36 


12.91 


5.41 


14 


15 


13.91 


5.62 


13.88 


5.68 


13.86 


5.74 


13.83 


5.80 


15 


16 


14.83 


5.99 


14.81 


6.06 


14.78 


6.12 


14.76 


6.19 


16 


17 


15.76 


6.37 


15.73 


6.44 


15.71 


6.51 


15.68 


6.57 


17 


18 


16.69 


6.74 


16.66 


6.82 


16.63 


6.89 


16.60 


6.96 


18 


19 


17.62 


7.12 


17.59 


7.19 


17.55 


7.27 


17.52 


7.35 


19 


20 
21 


18.54 


7.49 


18.51 


7.57 


18.48 


7.65 


18.44 


7.73 


20 


19.47 


7.87 


19.44 


7.95 


19.40 


8.04 


19.37 


8.12 


21 


22 


20.40 


8.24 


20.36 


8.33 


20.33 


8.42 


20.29 


8.51 


22 


23 


21.33 


8.62 


21.29 


8.71 


21.25 


8.80 


21.21 


8.89 


23 


24 


22.25 


8.99 


22.21 


9.09 


22.17 


9.18 


22.13 


9.28 


24 


25 


23.18 


9.37 


23.14 


9.47 


23.10 


9.57 


23.05 


9.67 


25 


26 


24.11 


9.74 


24.06 


9.84 


24.02 


9.95 


23.98 


10.05 


26 


27 


25.03 


10.11 


24.99 


10.22 


24.94 


10.33 


24.90 


10.44 


27 


28 


25.96 


10.49 


25.92 


10.60 


25.87 


10.72 


25.82 


10.83 


28 


29 


26.89 


10.86 


26.84 


10.98 


26.79 


11.10 


26.74 


11.21 


■29 


30 


27.82 


11.24 


27.77 


11.36 
1 1 . 74 


27.72 


11.48 


27.67 


11.60 


30 


31 


28.74 


11.61 


28.69 


28.64 


11.86 


28.59 


11.99 


31 


32 


29.67 


11.99 


29.62 


12.12 


29.. 56 


12.25 


29.51 


12.37 


32 


33 


30.60 


12.36 


30.54 


12.50 


30.49 


12.63 


30.43 


12.76 


33 


34 


31.52 


12.74 


31.47 


12.87 


31.41 


13.01 


31.35 


13.15 


34 


35 


32.45 


13.11 


32.39 


13.25 


32.34 


13.39 


32.28 


13.53 


35 


36 


33 . 38 


13.49 


33.32 


13.63 


33.26 


13.78 


33.20 


13.92 


36 


37 


34.31 


13.86 


34.24 


14.01 


34.18 


14.16 


34.12 


14.31 


37 


38 


35.23 


14.24 


35»17 


14.39 


35.11 


14;54 


35.04 


14.70 


38 


39 


36.16 


14.61 


36.10 


14.77 


36.03 


14.92 


35.97 


15.08 


39 


40 


37.09 


14.98 


37.02 


15.15 


36.96 


15.31 


36.89 


15.47 


40 


41 


38.01 


15.36 


37.95 


15.52 


37.88 


15.69 


37.81 


15.86 


41 


4?, 


38.94 


15.73 


38.87 


15.90 


38.80 


16.07 


38.73 


16.24 


42 


43 


39.87 


16.11 


39.80 


16.28 


39.73 


16.46 


39.65 


16.63 


43 


44 


40.80 


16.48 


40.72 


16.66 


40.65 


16.84 


40.58 


17.02 


44 


45 


41.72 


16.86 


41.65 


17.04 


41.57 


17.22 


41.50 


17.40 


45 


46 


42.65 


17.23 


42.57 


17.42 


42.50 


17.60 


42.42 


17.79 


46 


47 


43.58 


17.61 


43.50 


17.80 


43.42 


17.99 


43.34 


18.18 


47 


48 


44.50 


17.98 


44.43 


18.18 


44.35 


18.37 


44.27 


18.56 


48 


49 


45.43 


18.36 


45.35 


18.55 


45.27 


18.75 


45.19 


18.95 


49 


50 

i 


46.36 


18.73 


46.28 


18.93 


46.19 


19.13 


46.11 


19.34 


50 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


6 
o 

1 

Q 


68] 


3eg. 


671 


Deg. 


67i 


Deg. 


61k 


Deg. 



T«AVKRSE TABLE. 



47 



p 

3 
n 
a 

"51 


22 Deg. 


22k Deg. 


221 Deg. 


22| Deg. 


1 

3 
o 
a 

"51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


47.29 


19.10 


47.20 


19.31 


47.12 


19.52 


47.03 


19.72 


52 


48.21 


19.48 


48.13 


19.69 


48.04 


19.90 


47.95 


20.11 


52 


53 


49.14 


19.85 


49.05 


20.07 


48.97 


20.28 


48.88 


20.50 


53 


54 


50.07 


20.23 


49.98 


20.45 


49.89 


20.66 


49.80 


20.88 


54 


55 


51.00 


20.60 


50.90 


20.83 


50.81 


21.05 


.50.72 


21.27 


55 


56 


51.92 


20.98 


51.83 


21.20 


51.74 


21.43 


61.64 


21.66 


56 


57 


52.85 


21.35 


52.76 


21.58 


.52.66 


21.81 


52.57 


22.04 


67 


58 


53.78 


21.73 


53.68 


21.96 


53.59 


22.20 


53.49 


22.43 


68 


59 


54.70 


22.10 


54.61 


22.34 


54.51 


22.58 


54.41 


22.82 


69 


60 
61 


55.63 


22.48 


55.53 


22.72 


55.43 


22.96 


55.33 


23.20 


60 
61 


56.56 


22.85 


56.47 


23.10 


56.36 


23.34 


56.25 


23.59 


62 


57.49 


23.23 


57.38 


23.48 


57.28 


23.73 


57.18 


23.98 


62 


63 


58.41 


23.60 


58.31 


23.85 


58.20 


24.11 


58.10 


24.36 


63 


64 


59.34 


23.97 


.59.23 


24.23 


59.13 


24.49 


59.02 


24.75 


64 


65 


60.27 


24.35 


60.16 


24.61 


60.05 


24.87 


59.94 


25.14 


65 


66 


61.19 


24.72 


61.09 


24.99 


60.98 


25.26 


60.87 


25.52 


66 


67 


62.12 


25.10 


62.01 


25.37 


61.90 


25.64 


61.79 


25.91 


67 


68 


63.05 


25.47 


62.94 


25.75 


62.82 


26.02 


62.71 


26.30 


68 


69 


63.98 


25.85 


63.86 


26.13 


63.75 


26.41 


63.63 


26.68 


69 


70 
71 


64.90 


26.22 


64.79 


26.51 


64.67 


26.79 


64.55 


27.07 


70 
71 


65.83 


26.60 


65.71 


26.88 


65.60 


27.17 


65.48 


27.46 


72 


66.76 


26.97 


66.64 


27.26 


66.52 


27.55 


66.40 


27.84 


72 


73 


67.68 


27.35 


67.56 


27.64 


67. '14 


27.94 


67.32 


28.23 


73 


74 


68.61 


27.72 


68.49 


28.02 


68.37 


28.32 


68.24 


28.62 


74 


75 


69.54 


28.10 


69.42 


28.40 


69.29 


28.70 


69.17 


29.00 


75 


76 


70.47 


28.47 


70.34 


28.78 


70.21 


29.08 


70.09 


29.39 


76 


77 


71.39 


28.84 


71.27 


29.16 


71.14 


29.47 


71.01 


29.78 


77 


78 


72.32 


29.22 


72.19 


29.53 


72.06 


29.85 


71.93 


30.16 


78 


79 


73.25 


29.59 


73.12 


29.91 


72.99 


30.23 


72.85 


30.55 


79 


80 
81 


74.17 


29.97 


74.04 


30.29 


73.91 


30.61 


73.78 


30.94 


80 
81 


75.10 


30.34 


74.97 


30.67 


74.83 


31.00 


74.70 


31.32 


82 


76.03 


30.72 


75.89 


31.05 


75.76 


31.38 


75.62 


31.71 


82 


83 


76.96 


31.09 


76.82 


31.43 


76.68 


31.76 


76.54 


32.10 


83 


84 


77.88 


31.47 


77.75 


31.81 


77.61 


32.15 


77.46 


32.48 


84 


85 


78.81 


31.84 


78.67 


32.19 


78.53 


32.53 


78.39 


32.87 


85 


86 


79.74 


32.22 


79.60 


32.56 


79.45 


32.91 


79.31 


33.26 


86 


87 


80.66 


32.59 


80.52 


32.94 


80.38 


33.29 


80.23 


33.64 


87 


88 


81.59 


32.97 


81.45 


33.32 


81.30 


33.68 


81.15 


34.03 


88 


89 


82.52 


33.34 


82.37 


33.70 


82.23 


34.06 


82.08 


34.42 


89 


90 
91 


83.45 


33.71 


83.30 


34.08 


83.15 


34.44 


83.00 


34.80 


90 
91 


84.37 


34.09 


84.22 


34.46 


84.07 


34.82 


83.92 


35.19 


92 


85.30 


34.46 


85,15 


34.84 


85.00 


35.21 


84.84 


35.58 


92 


93 


86.23 


34.84 


86.08 


35.21 


85.92 


35.59 


85.76 


35.96 


93 


94 


87.16 


35.21 


87.00 


35,59 


86.84 


35.97 


86.69 


36.35 


94 


95 


88.08 


35.59 


87.93 1 35.97 


87.77 


36.35 


87.61 


36.74 


95 


96 


89.01 


35.96 


88.85 36.35 


88.69 


36.74 


88.53 


37.12 


96 


97 


89.94 


36.34 


89.78 36.73 


89.62 


.37.12 


80.45 


37.51 


97 


98 


90.86 


36.71 


90.70 37.11 


90.54 


37.50 


90.38 


37.90 


98 


99 


91.79 


37,09 


91.63 37.49 


91.46 


37.89 


91.30 


38.28 


99 


100 

u 

a 
a 

.2 


92.72 


37.46 


92.. 55 37.86 


92.39 


38.27 


92.22 


38.67 


100 

o 

a 

d 


Dep. 


Lat. 


Dep. 1 Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 68 Dcg. 


67| Deg. 


67i Deg. 


m Deg. 



48 



TRAVERSE TABLE. 



5' 


23 Deg. 


m Deg. 


23i 


Deg. 


231 Deg. 


? 
1 


Lat. 


Dep. 


Lat. 
0.92 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.92 


0.39 


0.39 


0.92 


0.40 


0.92 


0.40 


2 


1.84 


0.78 


1.84 


0.79 


1.83 


0.80 


1.83 


0.81 


2 


3 


2.76 


1.17 


2.76 


1.18 


2.75 


1.20 


2.75 


1.21 


3 


4 


3.68 


1.56 


3.68 


1.58 


3.67 


1.59 


3.66 


1.61 


4 


5 


4.60 


1.95 


4.59 


1.97 


4.59 


1.99 


4.58 


2.01 


5 


6 


5.52 


2.34 


5.51 


2.37 


5.50 


2.39 


5.49 


2.42 


6 


7 


6.44 


2.74 


6.43 


2.76 


6.42 


2.79 


6.41 


2.82 


7 


8 


7.36 


3.13 


7.35 


3.16 


7.34 


3.19 


7.32 


3.22 


8 


9 


8.28 


3.52 


8.27 


3.55 


8.25 


3.59 


8.24 


3.62 


9 


10 


9.20 


3.91 


9.19 


3.95 


9.17 


3.99 


9.15 


4.03 


10 


11 


10.13 


4.30 


10.11 


4.34 


10.09 


4.39 


10.07 


4.43 


11 


12 


11.05 


4.69 


11.03 


4.74 


11.00 


4.78 


10.98 


4.83 


12 


13 


11.97 


5.08 


11.94 


5.13 


11.92 


5.18 


11.90 


5.24 


13 


14 


12.89 


5.47 


12.86 


5.53 


12.84 


5.58 


12.81 


5.64 


14 


15 


13.81 


5.86 


13.78 


5.92 


13.76 


5.98 


13.73 


6.04 


15 


16 


14.73 


6.25 


14.70 


6.32 


14.67 


6.38 


14.64 


6.44 


16 


17 


15.65 


6.64 


15.62 


6.71 


15.59 


6.78 


15.56 


6.85 


17 


18 


16.57 


7.03 


16.54 


7.11 


16.51 


7.18 


16.48 


7.25 


18 


19 


17.49 


7.42 


17.46 


7.50 


17.42 


7.58 


17.39 


7.65 


19 


20 


18.41 


7.81 


18.38 


7.89 


18.34 


7.97 


18.31 


8.05 


20 


21 


19.33 


8.21 


19.29 


8.29 


19.26 


8.37 


19.22 


8.46 


21 


22 


20.25 


8.60 


20.21 


8.68 


20.18 


8.77 


20.14 


8.86 


22 


23 


21.17 


8.99 


21.13 


9.08 


21.09 


9.17 


21.05 


9.26 


23 


24 


22.09 


9.38 


22.05 


9.47 


22.01 


9.57 


21.97 


9.67 


24 


25 


23.01 


9.77 


22.97 


9.87 


22.93 


9.97 


22.88 


10.07 


25 


26 


23.93 


10.16 


23.89 


10.26 


23.84 


10.37 


23.80 


10.47 


26 


27 


24.85 


10.55 


24.81 


10.66 


24.76 


10.77 


24.71 


10.87 


27 


28 


25.77 


10.94 


25.73 


11.05 


25.68 


11.16 


25.63 


11.28 


28 


29 


26.69 


11.33 


26.64 


11.45 


26.59 


11.56 


26.54 


11.68 


29 


30 


27.62 


11.72 


27.56 


11.84 


27.51 


11.96 


27.46 


12.08 


30 


31 


28.54 


12.11 


28.48 


12.24 


28.43 


12.36 


28.37 


12.49 


31 


32 


29.46 


12.50 


29.40 


12.63 


29.35 


12.76 


29.29 


12.89 


32 


33 


30.38 


12.89 


30.32 


13.03 


30.26 


13.16 


30.21 


13.29 


33 


34 


31.30 


13.28 


31.24 


13.42 


31.18 


13.56 


31.12 


13.69 


34 


35 


32.22 


13.68 


32.16 


13.82 


32.10 


13.96 


32.04 


14.10 


35 


36 


33.14 


14.07 


33.08 


14.21 


33.01 


14.35 


32.95 


14.50 


36 


37 


34.06 


14.46 


34.00 


14.61 


33.93 


14.75 


33.87 


14.90 


37 


38 


34.98 


14.85 


34.91 


15.00 


34.85 


15.15 


34.78 


15.30 


38 


39 


35.90 


15.24 


35.83 


15.39 


35.77 


15.55 


35.70 


16.71 


39 


40 


36.82 


15.63 


36.75 


15.79 


36.68 


15.95 


36.61 


16.11 


40 
41 


41 


37.74 


16.02 


37.67 


16.18 


37.60 


16.35 


37.53 


16.51 


42 


38.66 


16.41 


38.59 


16.58 


38.. 52 


16.75 


38.44 


16.92 


42 


43 


39.58 


16.80 


39.51 


16.97 


39.43 


17.15 


39.36 


17.32 


43 


44 


40.50 


17.19 


40.43 


17.37 


40.35 


17.54 


40.27 


17.72 


44 


45 


41.42 


17.58 


41.35 


17.76 


41.27 


17.94 


41.19 


18.12 


45 


46 


42.34 


17.97 


42.26 


18.16 


42.18 


18.34 


42.10 


18.53 


46 


47 


43.26 


18.36 


43.18 


18.55 


43.10 


18.74 


43.02 


18.93 


47 


48 


44.18 


18.76 


44.10 


18.95 


44.02 


19.14 


143.93 


19.33 


48 


49 


45.10 


19.15 


45.02 


19.. 34 


44.94 


19.54 


144.85 


19.73 


49 


60 


46.03 


19.54 


45.94 


19.74 


45.85 


19.94 


145.77 


20.14 


50 


I 


1 Dep. 


Lat, 


Dep. 


Lat. 


Dep. 


Lat. 


1 Dep. 


Lat. 


n 


P 


1 67] 


Deg. 


661 


Deg. 


m 


Deg. 


66i 


Deg. 


^MM 













TRAVERSE TABLE. 



49 



. 


s 

? 

51 


23Deg. 


23i Deg. 


2^ Deg. 


23| Deg. 


§ 




Lat. 


Dep. 


Lat. 


Dep. 


Lat, 


Dep. 


Lat. 


Dep. 




46.95 


19.93 


46.86 


20. J3 


46.77 


20.34 


46,68 


20.54 


61 




52 


47.87 


20.32 


47.78 


20.53 


47,69 


20.73 


47.60 


20.94 


53 




53 


48.79 


20.71 


48.70 


20.92 


48.60 


21.13 


48.51 


21.35 


53 




54 


49.71 


21.10 


49.61 


21.32 


49.52 


21.53 


49.43 


21.75 


54 




55 


50.63 


21.49 


50.53 


21.71 


50.44 


21.93 


50.34 


22.15 


55 




56 


51.55 


21.88 


51.45 


22.11 


51.36 


22.33 


51.26 


22.55 


56 




57 


52.47 


22.27 


52.37 


22.50 


52.27 


22.73 


52.17 


22.98 


57 




5S 


53.39 


22.66 


53.29 


22.90 


53.19 


23.13 


53.09 


23.36 


58 




59 


54.31 


23.05 


54.21 


23.29 


54.11 


23.53 


54.00 


23.76 


59 




60 
61 


55.23 


23.44 


55.13 


23.68 


55.02 


23.92 


54.92 


24.16 


60 




56.15 


23.83 


56.05 


24.08 


55.94 


24.32 


55.83 


24.57 


61 




62 


57.07 


24.23 


56.97 


24.47 


58.86 


24.72 


56.75 


24.97 


62 




63 


57.99 


24.62 


57.83 


24.87 


57.77 


25.12 


57.66 


25.37 


63 




64 


58.91 


25.01 


58.80 


25.26 


58.69 


25.52 


58.58 


25.78 


64 




65 


59.83 


25.40 


59.72 


25.66 


59.61 


25.92 


59.50 


26.18 


65 




66 


60.75 


25.79 


60.64 


26.05 


60.53 


26.32 


60.41 


26.58 


66 




67 


61.67 


26.18 


61. ,56 


26.45 


61.44 


20.72 


61.33 


26.98 


67 




68 


62.59 


26.57 


62.48 


26.84 


62.36 


27.11 


62.24 


27.39 


68 




69 


63.51 


26.96 


63.40 


27.24 


63.28 


27.51 


63.16 


27.79 


69 




70 
71 


64.44 


27.35 


64.32 


27.63 


64.19 


27.91 


64.07 
64.99 


28.19 


70 




65.36 


27.74 


65.23 


28.03 


65.11 


28.31 


28.59 


71 




72 


66.28 


28.13 


66.15 


23.42 


66.03 


28.71 


65.90 


29.00 


72 




73 


67.20 


28.52 


67.07 


28.82 


66.95 


29.11 


66.82 


29.40 


73 




74 


68.12 


28.91 


67.99 


29.21 


67.86 


29.51 


67.73 


29.80 


74 




75 


69.04 


29.30 


68.91 


29.61 


68.78 


29.91 


68.65 


30.21 


75 




76 


69.96 


29.70 


69.83 


30.00 


69.70 


30.30 


69.56 


30.61 


76 




77 


70.88 


30.09 


70.75 


30.40 


70.61 


30.70 


70.48 


31.01 


77 




78 


71.80 


.30.48 


71.67 


30.79 


71.53 


31.10 


71.39 


31.41 


78 




79 


72.72 


30.87 


72.58 


31.18 


72.45 


31.50 


72.31 


31.82 


79 




80 
81 


73.64 


31.26 


73.50 


31.58 


73.36 


31.90 


73.22 


32.22 


80 




74.56 


31.65 


74.42 


31.97 


74.28 


32.30 


74.14 


32.62 


81 




82 


75.48 


32.04 


75.34 


32.37 


75.20 


32.70 


75.06 


33.03 


82 




83 


76.40 


32.43 


76.26 


32.76 


76.12 


33.10 


75.97 


33.43 


83 




84 


77.32 


32.82 


77.18 


33.16 


77.03 


33.49 


76.89 


33.83 


84 




85 


78.24 


33.21 


78.10 


33.55 


77.95 


33.89 


77.80 


34.23 


85 




86 


79.16 


33.60 


79.02 


33.95 


78.87 


34.29 


78.72 


34.64 


86 




87 


80.08 


33.99 


79.93 


34.34 


79.78 


34.69 


79.63 


35.04 


87 




88 


81.00 


34,38 


80.85 


34.74 


80.70 


35.09 


80.55 


35.44 


88 




89 


81.92 


34,78 


81.77 


35.13 


81.62 


35.49 


81.46 


35.84 


89 




90 
91 


82.85 


35,17 


82.69 


35.53 


82.54 


35.89 


82.38 


36.25 


90 




83.77 


35.56 


83.61 


35.92 


83.45 


36.29 


83,29 


36.65 


91 




92 


84.69 


35.95 


84.53 


36.32 


84.37 


36.68 


84,21 


37.05 


92 




93 


85.61 


36.34 


85.45 


36.71 


85.29 


37.08 


85.12 


37.46 


93 




94 


86.53 


36.73 


86.37 


37.11 


86.20 


37.48 


86.04 


37.86 


94 




95 


87.45 


37.12 


87.29 


37.50 


87.12 


37.88 


86.95 


38.26 


95 




96 


88.37 


37.51 


88.20 


37.90 


88.04 


38.28 


87.87 


38.66 


96 




97 


89.29 


37.90 


89.12 


38.29 


88.95 


38.68 


88.79 


39.07 


97 




98 


90.21 


38.29 


90.04 


38.68 


89.87 


39.08 


89.70 


39.47 


98 




99 


91.13 


38.68 


90.96 


39.03 


90.79 


39.48 


90.62 


39.87 


99 




100 

a 
.2 
Q 


92.05 


39.07 


91.88 


39.47 


91.71 


39.87 


91.53 


40.27 


100 




Dep. 


Lat, 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


J 
.2 
Q 




67 Deg. 


661 Deg. 


• 1 
66i Deg. 


66i Deg. 

























60 



TRAVERSE TABLE. 



? 

1 


24 Deg. 


24i Deg. 


24| 


Deg. 


24J Deg. 


? 
~1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.91 


0.41 


0.91 


0.41 


0.91 


0.41 


0.91 


0.42 


2 


1.83 


0.81 


1.82 


0.82 


1.82 


0.83 


1.82 


0.84 


2 


3 


2.74 


1.22 


2.74 


1.23 


2.73 


1.24 


2.72 


1.26 


3 


4 


3.65 


1.63 


3.65 


1.64 


1 3.64 


1.66 


3.63 


1.67 


4 


5 


4.57 


2.03 


4.56 


2.05 


4.55 


2.07 


4.54 


2.09 


5 


6 


5.48 


2.44^ 


5.47 


2.46 


5.46 


2.49 


5.45 


2.51 


6 


7 


6.39 


2.85 


6.38 


2.87 


6.37 


2.90 


6.36 


2.93 


7 


8 


7.31 


3.25 i 


7.29 


3.29 


7.28 


3.32 


7.27 


3.35 


8 


9 


8.22 


3.66 1 


8.21 


3.70 


8.19 


3.73 


8.17 3.77 


9 


10 

11 


9.14 


4.07 1 


9.12 


4.11 


9.10 
10.01 


4.15 


9.08 1 4.19 


10 
11 


10.05 


4.47 


10.03 


4.52 


4.56 


i 9.99 1 4.61 


12 


10.96 


4.88 10.94 


4.93 


10.92 


4.98 


110.90 5.02 


12 


13 


11.88 


5.29 , 11.85 


5.34 


11.83 


5.39 


11.81 5.44 


13 


14 


12.79 


5.69 I 12.76 


5.75 


12.74 


5.81 


' 12.71 1 5.86 


14 


15 


13.70 


6.10 


13.08 


6.16 ] 13.65 


6.22 


; 13.62 ; 6.28 


15 


16 


14.62 


6.51 


14.59 


6.57 ' 14.56 


6.64 


1 14.53 i 6.70 


16 


17 


15.53 


6.S2; 


15.50 


6.98 ' 15.47 


7.05 


15.44! 7.12 


17 


18 


16.44 


7.32 ! 16.41 


7.39 : 16.38 


7.46 


16.35 1 7.54 


18 


19 


17.36 


7.73 ' 17.32 


7.80 ■ 17.29 


7.88 


17.25 7.95 


19 


20 

21 


18.27 
19.18 


8.13 
8.54 


18.24 


8.21 ; 18.20 


8.29 


1 18.16 ! 8.37 


20 
21 


19.15 


8.63 ; 19.11 


8.71 


1 19.07 ! 8.79 


22 


20.10 


8.95 20.06 


9.04 1 20.02 


9.12 


! 19.98' 9.21 


22 


23 


21.01 


9.35 20.97 


9.45 '20.93 


9.54 


-20.89 9.63 


23 


24 


21.93 


9.76 , 21.88 


9.86 121.84 


9.95 


21.80 10.05 


24 


25 


22.84 


10.17 22.79 


10.27 1 22.75 


10.37 


22.70 10.47 


25 


26 


23.75 


10.58 ; 23.71 


10.68 1 23.66 


10.78 


'23.61 10.89 


26 


27 


24.67 


10.98 .24.62 


11.09 : 24.57 


11.20 


,24.52: 11.30 


27 


2'^ 


25.58 


11.39 : 25. .53 


11.50 25.48 


11.61 


'25.43 ! 11.72 


28 


29 


26.49 


11.80 26.44 


11.91 26.39 


12.03 


26.34 1 12.14 


29 


JO, 
31 


27.41 
28.32 


12.20 
12.61 


27.35 


12.32 27.30 


12.44 


27.24 . 12.56 


30 
31 


28.26 


12.73 2^.21 


12.86 


28.15 12.98 


32! 


29.23 


13.02 29.18 


13.14 29.12 


13.27 


29.06 13.40 


32 


33; 


30.15 , 


13.42 30.09 


13.55 30.03 


13.68 


29.97 ; 13.82 


33 


34' 


31.06' 


13.83 31.00 


13.96 , 30.94 


14.10 


•30.88 ' 14.23 


34 


35 i 


31.97 


14.24 31.91 


14.38 ,' 31.85 


14.51 


j31.78 i 14.65 


35 


36 


32.89 • 


14.64 32.82 


14.79 ■ 32.76 


14.93 


'32.69 ; 15.07 


36 


37 


33.80 


15.05 33.74 


15.20 • 33.67 


15.. 34 


33.60 ; 15.49 


37 


3S ' 


34.71 


15.46 34.65 


15.61 34.58 


15.76 


'34.51 ' 15.91 


38 


39 


35.63 


15.86 35.56 


16.02 : 35.49 


16.17 


35.42 ' 16.33 


39 


40 ' 


36.54 


16.27 36.47 


16.43 36.40 


16.59 


36.33 ' 16.75 


40 


41 


37.46 


16. 6S ' 37.38 


16.84 37.31 


17.00 , 


37.23 : 17.16 


41 


42 i 


38.37 


17.08 38.29 


17.25 3S.22 


17.42: 


38.14 ! 17.58 


42 


43 


39.2s 


17.49 39.21 


17.66 39.13 


17.83 i 


39.05 j 18.00 


43 


44 


40.20 


17.90 40.12 


18.07 40.04 


18.25 -' 


39.96 1 18.42 


44 


45 


41.11 


18.30 41.03 


18.48 40.95 1 


18.66 i 


40.87 ; 18.84 


45 


46 . 


42 . 02 


18.71 41.94 


18.89 ,41.36; 


19.08 ! 


41.77; 19.26 


46 


47 


42.94 


19.12 42.85 


19.30 ' 42.77: 


19.49 1 


42.68 1 19.68 


47 


4S 


43.85 


19.52 43.76 


19.71 ; 43.68 1 


19.91 i 


43.59 ,20.10 


48 


49 


44.76 


19.93 44.68 


20.13 ' 44.59 ' 


20.32 1 


44.50 20.51 


49 


50 


45.68 


20.34 


45.59 
Dep. 


20. .54 . 45.50 


20.73 


45.41 '20.93 


50 


3 


Dep. 


Lat. 


Lat. i 


Dep. i 


Lat. 
Deg. 


Dep. 1 Lat. 


1 
3 


66 1 


>eg. 651 ] 


Deg. 


65i] 


65i Deg. 

















TRAVERSE TABLE. 



51 



5 

m 
P 
3 
n 
9 
"61 


24 Deg. 


24J Deg. 


24i Deg. 


241 Deg. 


I 

n 

CO 

~51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


46.59 


20.74 


46.50 


20.95 


46.41 


21.15 


46.32 


21.35 


52 


47.50 


21.15 


47.41 


21.36 


47.32 


21.56 


47.22 


21.77 


62 


63 


48.42 


21.56 


48.32 


21.77 


48.23 


21.98 


48.13 


22.19 


53 


54 


49.33 


21.96 


49.24 


22.18 


49.14 


22.39 


49.04 


22.61 


54 


55 


50.24 


22.37 


50.15 


22.59 


50.05 


22.81 


49.95 


23.03 


55 


56 


51.16 


22.78 


51.06 


23.00 


50.96 


23.22 


50.86 


23.44 


56 


57 


52.07 


23.18 


51.97 


23.41 


51.87 


23.64 


51.76 


23.86 


57 


58 


52.99 


23 . 59 


.52.88 


23.82 


52.78 


24.05 


52.67 


24.28 


58 


69 


53.90 


24.00 


53.79 


24.23 


63.69 


24.47 


53.58 


24.70 


59 


60 
61 


.54.81 


24.40 


.54.71 


24.64 


54.60 


24.88 


.54.49 


25.12 


60 
61 


.55.73 


24.81 


55.62 


25.05 


55.51 


25.30 


55.40 


25.54 


62 


56.64 


25.22 


56.53 


25.46 


56.42 


25.71 


56.30 


25.96 


62 


63 


57.55 


25.62 


•57.44 


25.88 


57.33 


26.13 


57.21 


26.38 


63 


64 


58.47 


26.03 


68.35 


26.29 


.58.24 


26.54 


68.12 


26.79 


64 


65 


.59.38 


26.44 


59.26 


26.70 


59.15 


26.96 


59.03 


27.21 


65 


66 


60.29 


26.84 


60.18 


27.11 


60.06 


27.37 


69.94 


27.63 


66 


67 


61.21 


27.25 


61.09 


27.52 


60.97 


27.78 


60.85 


28.05 


67 


68 


62.12 


27.66 


62.00 


27.93 


61.88 


28.20 


61.75 


28.47 


68 


69 


63.03 


28.06 


62.91 


28.34 


62.79 


28.61 


62.66 


28.89 


69 


70 
71 


63.95 


28.47 


63.82 


28.75 


63.70 


29.03 


63.57 


29.31 


70 
71 


64.86 


28.88 


64.74 


29.16 


64.61 


29.44 


64.48 


29.72 


72 


65.78 


29.23 


65.65 


29 . 57 


65.52 


29.86 


65.39 


30.14 


72 


73 


66.69 


29.69 


66.56 


29.98 


j 66.43 


30.27 


66.29 


30.56 


73 


74 


67.60 


30.10 


67.47 


30.39 


67.34 


30.69 


67.20 


30.98 


74 


75 


68.52 


30.51 


68.. 38 


.30.80 


68.25 


31.10 


168.11 


31.40 


75 


76 


69.43 


30.91 


69.29 


31.21 


69.16 


31.62 


1 69.02 


31.82 


76 


77 


70.34 


31.32 


70.21 


31.63 


70.07 


31.93 


69.93 


32.24 


77 


78 


71.26 


31.73 


71.12 


32.04 


•70.98 


32.35 


70.84 


32.66 


78 


79 


72.17 


32.13 


72.03 


32.45 


71.89 


32.76 


71.74 


33.07 


79 


80 
81 


73.08 


32.54 


72.94 


32.86 


72.80 


33.18 


72.65 


33.49 


80 
81 


74.00 


32.95 


73.85 


33.27 


73.71 


33.59 


73.56 


33.91 


82 


74.91 


33.35 


74.76 


33.68 


74.62 


34.00 


74.47 


34.33 


82 


83 


75.82 


33.76 


75.68 


34.09 


75.53 


34.42 


75.38 


34.75 


83 


84 


76.74 


34.17 


76.59 


34.50 


76.44 


34.83 


76.28 


35.17 


84 


85 


77.65 


34.. 57 


77.50 


34.91 


77.35 


35.25 


77.19 


35.59 


85 


86 


78.56 


34.98^ 


78.41 


35.32 


78.26 


35.66 


78.10 


36.00 


86 


87 


79.48 


.35.39! 


79.32 


35.73 


79.17 


36.08 


79.01 


36.42 


87 


88 


80.39 


35.79 


80.24 


36.14 


80.08 


36.49 


79.92 


36.84 


88 


89 


81.31 


36.20 1 


81.15 


36.55 


80.99 


36.91 


80.82 


37.26 


89 


90 
91 


82.22 136.61 i 


82.06 36.96 1 


81.90 


37.32 
37.74 


81.73 


37.68 
33.10 


90 
91 


83.13 


37.01 1 


82.97 


37.38 


82.81 


82.64 


92 


84.05 


37.42 


83.88 


37.79 


83.72 


38.15 


83.55 


38.. 52 


92 


93 


84.96 


37.83 


84.79 


38.20 


84.63 


38.57 


84.46 


38.94 


93 


94 


85.87 


38.23 


85.71 


38.61 


85.54 


38.98 


85.37 


39.35 


94 


95 


86.79 


38.64; 


86.62 


39.02 


86.45 


39.40 


86.27 


39.77 


96 


96 


87.70 


39.05 


87.53 39.43 1 


87.36 


39.81 


87.18 


40.19 


96 


97 


88.61 


39.45 1 


88.44 


39.84 


88.27 


40.23 


88.09 


40.61 


97 


98 


89.53 


39.86 1 


89.. 35 


40.25 


89.18 


40.64 


89.00 


41.03 


98 


99 


90.44 


40.27, 


90.26 


40.66 


90.09 


41.05 


89.91 


41.45 


99 


100 

CO 


91.35 


40.67! 


91.18 


41.07 


91.00 


41.47 


90.81 


41.87 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep, 


Lat. 


Dep. Lat. 


66 Deg. 


65| Deg. 


65^ Deg. 


654 Deg. 



62 



TRAVERSE TABLE. 



c 

1 
? 

1 


25 Deg. i 


25\ Deg. 25i Deg. 25^ Deg. 

i' 


3 
O 

a 
1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. j 


Lat. 


Dep. 


0.91 


0.42 


0.90 


0.43 


0.90 


0.43 


0.90 


0.43 


2 


1.81 


0.85 


1.81 


0.85 


1.81 


0.86' 


1.80 


0.87 


2 


3 


2.72 


1.27 


2.71 


1.28 


2.71 


1.29 1 


2.70 


1.30 


3 


4 


3.63 


1.69 


3.62 


1.71 


3.61 


1.72 


3.60 


1.74 


4 


fi 


4.53 


2.11 


4.52 


2.13 


4.51 


2.15 


4.50 


2.17 


5 


fi 


5.44 


2.54 


5.43 


2.56 


.5.42 


2.58! 


5.40 


2.61 


6 


7 


6.34 


2.96 


0.33 


2.99 


6.32 


3.01 


6.30 


3.04 


7 


8 


7.25 


3.38 


7.24 


3.41 


7.22 


3.44 


7.21 


3.48 


8 


9 


8.16 


3.80 


8.14 


3.84 


8.12 


3.87 


8.11 


3.91 


9 


10 
11 


9.06 


4.23 


9.04 


4.27 


9.03 


4.31 


9.01 


4.34 


10 
11 


9.97 


4.65 


9.95 


4.69 


9.93 


4.74 


9.91 


4.78 


12 


10.88 


5.07 


10.85 


5.12 


10.83 


5.17 


10.81 


5.21 


12 


13 


11.78 


5.49 


11.76 


5.55 


11.73 


5.60 


11.71 


5.65 


13 


14- 


12.69 


5.921 


12.66 


5.97 


12.64 


6.03 ! 


12.61 


6.08 


14 


15 


13.59 


6.34} 


13.57 


6.40 


13.54 


6.46 i 


13.51 


6.52 


15 


16 


14.50 


6.76 1 


14.47 


6.83 


14.44 


6.89 ■ 


14.41 


6.95 


16 


17 


15.41 


7.181 


15.38 


7.25 


15.34 


7.32 1 


15.31 


7.39 


17 


IS 


16.31 


7.61 1 


16.28 


7.68 


16.25 


7.75 


16.21 


7.82 


18 


19 


17.22 


8.03 


17.18 


8.10 


17.15 


8.18 


17.11 


8.25 


19 


20 


18.13 


8.45 


18.09 


8.53 


18.05 


8.61 


18.01 


8.69 


20 
21 


21 


19.03 


8.87 


18.99 


8.96 


18.95 


9.04 


18.91 


9.12 


22 


19.94 


9.30 


19.90 


9.38 


19.86 


9.47 


19.82 


9.56 


22 


23 


20.85 


9.72 


20.80 


9.81 


20.76 


9.90 


20.72 


9.99 


23 


24 


21.75 


10.14 


21.71 


10.24 


21.66 


10.33 


21.62 


10.43 


24 


25 


22.66 


10.57 


22.61 


10.66 


22.56 


10.76 


22.52 


10.86 


25 


26 


23.56 


10.99 


23.52 


11.09 


23.47 


11.19 


23.42 


11.30 


26 


27 


24.47 


11.41 


24.42 


11.52 


24.37 


11.62 


24.32 


11.73 


27 


28 


25.38 


11.83 


25.32 


11.94 


25.27 


12.05 


25.22 


12.16 


28 


29 


26.28 


12.26 


26.23 


12.37 


26.17 


12.48 


26.12 


12.60 


29 


30 


27.19 


12.68 


27.13 


12.80 


27.08 


12.92 


27.02 


13.03 


30 
31 


31 


28.10 


13.10 


28.04 


13.22 


27.98 


13.35 


27.92 


13.47 


32 


29.00 


13.52 


28.94 


13.65 


28.88 


13.78 


28.82 


13.90 


32 


33 


29.91 


13.95 


29.85 


14.08 


29.79 


14.21 


29.72 


14.34 


33 


34 


30.81 


14.37 


30.75 


14.50 


30.69 


14.64 


30.62 


14.77 


34 


35 


31.72 


14.79 


31.66 


14.93 


31.59 


15.07 


31.52 


15.21 


35 


36 


32.63 


15.21 


32.56 


15.36 


32.49 


15.50 


32.43 1 15.64^ 36 1 


37 


33.53 


15.64 


33.46 


15.78 


33.40 


15.93 


33.33 


1 16.07 1 37 


38 


34.44 


16.06 


34.37 


16.21 


34.30 


16.36 


34.23 


16.51 1 38 


39 


35.35 


16.48 


35.27 


16.64 


35.20 


16.79 


35.13 


16.94 i 39 


40 

Ti" 


36.25 


16.90 


36.18 


17.06 


36.10 


17.22 


36.03 17.38 


i 40 


37.16 


17.33 


37.08 


17.49 


37.01 


1 17.65 


36.93! 17.81 


41 


42 


38.06 


17.75 


37.99 


17.92 


37.91 


18.08 


37.83 


18.25 


42 


43 


38.97 


18.17 


38.89 


18.34 


38.81 


18.51 


38.73 


18.68 


43 


44 


39.88 


18.60 


39.80 


18.77 


39.71 


18.94 


39.63 


19.12 


44 


45 


40.78 


19.02 


40.70 


i9.eo 


40.62 


19.37 


40.53 


19.55 


45 


46 


41.69 


19.44 


41.60 


19.62 


41.52 


19.80 


41.43 


19.98 


46 


47 


42.60 


19.86 


42.51 


20.05 


42.42 


20.23 


! 42.33 


20.42 


47 


48 


43.50 


20.29 


43.41 


20.48 


43.32 


20.66 


43.23 


20.85 


48 


49 


44.41 


20.71 


44.32 


20.90 


44.23 


21.10 


44.13 


21.29 


49 


50 


45.. 32 


21.13 


45.22 


21.33 


45.13 


21.53 


45.03 


21.72 1 50j 


c 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




65 Deg. 


641 


Deg. 


64i 


Deg. 


64i Deg. 



TRAVERSE TABLE. 



53 



n 

9 

~5l 


25 Deg. 


25i Deg. 


25i Deg. 


25| Deg. 


1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


46.22 


21.55 


46.13 


21.75 


46.03 


21.96 


45.94 


22.16 


51 


52 


47.13 


21.98 


47.03 


22.18 


46.93 


22.39 


46.84 


22.59 


52 


53 


48.03 


22.40 


47.94 


22.61 


47.84 


22.82 


47.74 


23.03 


53 


54 


48.94 


22.82 


48.84 


23.03 


48.74 


23.25 


48.64 


23.46 


54 


55 


49.85 


23.24 


49.74 


23.46 


49.64 


23.68 


49.54 


23.89 


55 


56 


50.75 


23.67 


50.65 


23.89 


50.54 


24.11 


50.44 


24.33 


56 


57 


51.66 


24.09 


51.56 


24.31 


51.45 


24.54 


51.34 


24.76 


57 


58 


52.57 


24.51 


52.46 


24.74 


52.35 


24.97 


52.24 


25.20 


58 


59 


53.47 


24.93 


53.36 


25.17 


53.25 


25.40 


53.14 


25.63 


59 


61 


54.38 


25.36 


54.27 


25.59 


54.16 


25.83 


54.04 


26.07 


60 


55.28 


25.78 


55.17 


26.02 


55.06 


26.26 


54.94 


26.50 


61 


62 


.56.19 


26.20 


56.08 


26.45 


55.96 


26.69 


55.84. 


26.94 


62 


63 


57.10 


26.62 


.56.98 


26.87 


56.86 


27.12 


56.74 


27.37 


63 


64 


58.00 


27.05 


57.89 


27.30 


57.77 


27.55 


57.64 


27.80 


64 


65 


58.91 


27.47 


58.79 


27.73 


58.67 


27.98 


.58.55 


28.24 


65 


66 


59.82 


27.89 


59.69 


28.15 


59.57 


28.41 


59.45 


28.67 


66 


67 


60.72 


28.32 


60.60 


28.58 


60.47 


28.84 


60.35 


29.11 


67 


68 


61.63 


28.74 


61.50 


29.01 


61.38 


29.27 


61.25 


29.54 


68 


69 


62.54 


29.16 


62.41 


29.43 


62.28 


29.71 


62.15 


29.98 


69 


71 


63.44 


29.58 


63.31 


29.86 


63.18 


30.14 


63.05 


30.41 
30.85 


70 
71 


64.35 


30.01 ! 


64.22 


30.29 


64.08 


30.57 


63.95 


72 


65.25 


30.43 


65.12 


30.71 


64.99 


31.00 


64.85 


31.28 


72 


73 


66.16 


30.85 


66.03 


31.14 


65.89 


31.43 


65.75 


31.71 


73 


74 


67.07 


31.27 


66.93 


31.57 


66.79 


.31.86 


66.65 


32.15 


74 


75 


67.97 


31.70 


67.83 


31.99 


67.69 


32.29 


67.55 


.32.58 


75 


76 


68.88 


32.12 


68.74 


32.42 


68.60 


32.72 


68.45 


33.02 


76 


77 


69.79 


32.. 54 


69.64 


32.85 


69.50 


33.15 


69.35 


33.45 


77 


78 


70.69 


32.96 


70.55 


33.27 


70.40 


33.58 


70.25 


33.89 


78 


79 


71.60 


33.39 


71.45 


33.70 


71.30 


34.01 


71.16 


34.32 


79 


80 

81 


72.50 


33.81 


72.36 


34.13 


72.21 


34.44 


72 06 


34.76 


80 


73.41 


34.23 


73.26 


34.55 


73.11 


34.87 


72.96 


35.19 


81 


82 


74.32 


.34.65 


74.17 


34.98 


74.01 


35.30 


73.86 


35 . 62 


82 


83 


75.22 


35.08 


75.07 


35.41 


74.91 


35.73 


74.76 


36.06 


83 


84 


76.13 


35.50 


75.97 


35.83 


75.82 


36.16 


75.66 


36.49 


84 


85 


77.04 


.35.92 


76.88 


36.26 


76.72 


36.59 


76.56 


36.93 


85 


86 


77.94 


36.35 


77.78 


36.68 


77.62 


37.02 


77.46 


37.36 


86 


87 


78.8.5 


36.77 


78.69 


37.11 


78.52 


37.45 


78.36 


37.80 


87 


88 


79.76 


37.19 


79.59 


37.54 


79.43 


37.88 


79.26 


38.23 


88 


89 


80.66 


37.61 


80.50 


37.96 j 


80.33 


38.32 


80.16 


38.67 


89 


90 
91 


81.57 


38.04 


81.40 


38.39 : 


81.23 


38.75 


81.06 


39.10 


90 


82.47 


.38.46 


82.31 


38.82 


82.14 


39.18 


81.96 


39.53 


91 


92 


83.38 


38.88 


83.21 


39.24, 


83.04 


39.61 


82.86 


39.97 


92 


98 


84.29 


39.30 


84.11 


39.67 1 


83.94 


40.04 


83.76 


40.40 


93 


94 


85.19 


39.73 


85.02 


40.10 1 


84.84 


40.47 


84.67 


40.84 


94 


95 


86.10 


4G.15 


85.92 


40.52 1 


85.75 


40.90 


85.57 


41.27 


95 


96 


87.01 


40.. 57 


86.83 


40.95 


86.65 


41.33 


86.47 


41.71 


96 


97 


87.91 


40.99 


87.73 


41.38 


87.55 


41.76 


87.37 


42.14 


97 


98 


88.82 


41.42 


88.64 


41.80 


88.45 


42.19 


88.27 


42.58 


98 


99 


89.72 


41.84 


89.54 


42.23 i; 89.36 


42.62 


89.17 


43.01 


99 


100 

ei 
to 

Q 


90.63 


42.26 


90.45 


42.66 


90.26 


43.05 


90.07 


43.44 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


o 

c 

c 


65 Deg. 


64| Deg. 


64h Deg. 


64i Deg. 



54 



TRAVERSE TABLE. 



1 


26 Deg. 


26i De^. 1 


26^ Deg. 


26|Deg. 


5- 


Lat. 


Dep. 


Lat. 1 


Dep. 


Lat. , Dep. 


Lat. 


Dep. 1 


3 


1 


0.90 


0.44 


0.90 


0.44 


0.89, 0.45' 


0.89 


0.45 1 1 


2 


1.80 


0.88 


1.79 


0.88 


1.79 0.89 


1.79 


0.90 i 2 


3 


2.70 


1.32 


2.69 


1.33 i 


2.68 1.34 


2.68 


1.35, 3 


4 


3.60 


1.75 


3.59 


1.77; 


3.58' 1.78 


3.57 


1.80 1 4 


5 


4.49 


2.19 


4.48 


2.21 ! 


4.4T 2.23 


4.46 


2.25 1 5 


6 


5.39 


2.63 


5.38 


2.65 1 


5.37 2.68 


5.36 


2.70 6 


.7 


6.29 


3.07 


6.28 


3.101 


6.261 3.12 


6.25 


3.15 7 


8 


7.19 


3.51 


7.17 


3.54 


7.16! 3.57 


7.14 


3.60 3 


9 


8.09 


3.95 


8.07 


3.93 


8.05' 4.02 


8.04 I 


4.05 ! 9 


10 


8.99 


4.33 


5.97 


4.42 1 


8.95 4.46; 


8.93 1 4. .50 i 10 1 


11 


9.89 


4.32 


9.87 


4.37 


9.84 


4.91 


9.32 


4.95 


11 


12 


10.79 


5.26 


10.76 


5.31 


10. 74 


5.35 


10.72 


5.40 


12 


13 


11.63 


5.70 


11.66 


5.75 


11.63 


5.801 


11.61 


5.85 


13 


14 


12.53 


6.14 


12.58 


6.19 


12.53 1 


6.25! 


12.50 


6.30 


14 


15 


13.48 


6.53 1 


13.45 


6.63 


13.42! 6.69, 


13.39 


6.75 


15 


16 


14.38 


7.01 ! 


14.35 


7.03 


14.32 7.14! 


14.29 


7.20 


16 


17 


15.23 


7.45 1 


15.25 


7.52 


15.21 7.59; 


15.18 


7.65 


17 


18 


16.18 


7.89 


16.14 


7.96 


16.11 8.03! 


16.07 


8.10 


13 


19 


17.03 


8.331 


17.04 


8.40 


17.00 8.48 il 16.97 


8.55 


19 


20 1 17.93 


i 8.77 


17.94 
; 13.33 


3.35 
9.29 


17.90 1 8.92' 


17.86 


9.09 


20 


21 1 13.87 


1 9.21 


1 18.79 1 9.37 


18.75 


9.45 


21 


22 19.77 


' 9.64 


19.73 


, 9.73 


19.69 9.82 


; 19.65 


9.90 ' 22 


23 20.67 


: 10.03 


20.63 


; 10.17 


! 20.. 53 1 10.26 


120.54 


10.35 ' 23 


24 21.57 


1 10.. 52 


21.52 


1 10.61 


121.48 10.71 


'21.43 


10.80 1 24 


25 22.47 


' 10.96 


22.42 


; 11.06 


: 22.37 i 11.15 


22.32 


11.25 25 


26 23.37 


11.40 


23 . 32 


11.50 


' 23.27 ! 11.60 


23.22 


11.70 26 


27 ,24.27 


11.84 


124.22 


! 11.94 


' 24.16 j 12.05 


24.11 


12.15 27 


28 125.17 


1 12.27 


25.11 


12.33 


25.06 ! 12.49 


25.00 


12.60 1 28 


29 i 26.06 


12.71 


26.01 


12.33 


25.95 1 12.94 


25.90 


13.05 1 29 


30 26.96 


13.15 


26.91 


13.27 


1 26.35 1 13.39 


26.79 


13.50 ■ 30 


31 27. S6 


13.59 


27.80 


1 13.71 


1 27.74 


13.83 


27.63 i 13. So 1 31 


32 23.76 


' 14.03 


23.70 


1 14.15 


1 23.64 


14.23 


23.53 i 14.40 32 


33 1 29.66 


14.47 


• 29.60 


14.60 


29.53 


14.72 


29.47 i 14.85 i 33 


34 30.56 


14.90 


30.49 


15.04 


1 30.43 


15.17 


'30.36 


15.30 


34 


35.131.46 


15.34 


131.39 


15.43 


31.32 


15.62 


31.25 


15.-5 


35 


36 1 32.36 


15.78 


1 .32.29 


15.92 


32.22 ! 16.06 


1! 32.15 


16.20 


36 


37 33.26 


16.22 


\ 33.13 


1 16.36 


33.11 16.51 1 33.04 


1 16.65 


37 


33 .34.15 


16.66 


34.08 


; 16.81 


34.01 1 16.96 


33.93 17.10 


! 33 


39 ; 35.05 


17.10 


1 34.93 


! 17.25 


34.90 1 17.40 


,34.83 17.55 ' 39 


40 !.35.95 
4i 36.35 


' 17.53 
17.97 


3.5.87 
36.77 


: 17.69 
13.13 


35.30 ! 17.35 
' 36.69 . 18.29 


'35.72 IS. 00 40 


36.61 i 23.45 j 41 


42 37.75 


13,41 


i 37.67 


' 13.53 


i 37.59 13.74 


37.51 ' 18.90 i 42 


43 33.65 


13.85 


i 33.57 


19.02 


38.48 19.19 


; 38.40 : 19. .35 


43 


44 1 39.55 


19.29 


'39.46 


19.46 


39.33 19.63 


39. S9 19.80 


44 


45 40.45 


19.73 


40.36 


19.90 


40.27 20.03 


40.18 ' 20.25 ' 45 


46 41.34 


20.17 


! 41.26 


20 . 35 


41.17 . 20.53 


4i.08 20.70 46 


47 42.24 


20.60 


42.15 


20.79 


42.06 1 20.97 


41.97 21.15 47 


43 43 . 14 


21.04 


43.05 


21.23 


42.96 : 21.42 


42.86 21.60 : 43 


49 44.04 


21.48 


43.95 


.21.67 


43.85 ' 21.86 


43.76 : 22.05 1 49 


50 44.94 


21.92 


44.34 


22.11 


44.75 i 22.31 


144.65 , 22..50| 50 


6 
o 

c 


Dep. 


Lat, 


Dep. 


1 Lat. 


Dep. 


Lat. 


I Dep. 1 Lat. 


i 




1 a. 


Deg. 


1 ■ ■ 
' 631 


Deg. 


63^ 


Deg. 


63i Deg. 


: 3 



TRAVERSE TABLE. 



56 



5 

"51 


26 Deg. 


26i Deg. 


26i Deg. 


26| Deg. 


i 

a 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 
45.64 


Dep. 

22.76 


Lat. 

45.54 


Dep. 


45.84 


22.36 


45.74 


22.56 


22.96 


~51 


52 


46.74 


22.80 


46.64 


23.00 


46.54 


23.20 


46.43 


23.41 


52 


53 


47.64 


23.23 


47.53 


23.44 


47.43 


23.65 


47.33 


23.86 


53 


54 


48.53 


23.67 


48.43 


23.88 


48.33 


24.09 


48.22 


24.31 


54 


55 


49.43 


24.11 


49.33 


24.33 


49.22 


24.54 


49.11 


24.76 


55 


56 


50.33 


24.55 


50.22 


24.77 


50. ]« 


24.99 


50.01 


25.21 


56 


57 


51.23 


24.99 


51.12 


25.21 


51.01 25.431 


50.90 


25.66 


57 


58 


52.13 


25.43 


52.02 


25.65 


51.91 


25.88 


51.79 


26 . 1 1 


58 


59 


53.03 


25.86 


52.92 


26.09 


52.80 


26.33 


52.69 


26.56 


59 


60 
61 


53.93 


26.30 


53.81 


26.54 


53.70 


26.77 


53.58 


27.01 


60 
61 


54.83 


26.74 


54.71 


26.98 


54.59 


27.22 


54.47 


27.46 


62 


55.73 


27.18 


55.61 


27.42 


55.49 


27.66 


55.36 


27.91 


62 


63 


56.62 


27.62 


56.50 


27.86 


56.38 


28 . 1 1 


56.26 


28.36 


63 


64 


57.52 


23.06 


57.40 


28.31 


57.28 


28.56 


.57.15 


28.81 


64 


65 


58.42 


28.49 


.58.30 


28.75 


58.17 


29.00 


58.04 


29.26 


65 


66 


59.32 


28.93 


59.19 


29.19 


59.07 


29.45 


58.94 


29.71 


66 


67 


60.22 


29.37 


60.09 


29.63 


59.96 


29.90 


59.83 


30.16 


67 


68 


61.12 


29.81 


60.99 


30.08 


60.86 


30.34 


60.72 


30.61 


68 


69 


62.02 


30.25 


61.88 


30.52 


61.75 


30.79 


61.62 


31.06 


6^ 


70 
71 


62.92 


30.69 


62.78 


30.96 


62.65 


31.23 


62.51 
63.40 


31.51 


70 


63.81 


31.12 


63.68 


31.40 


63.54 


31.68 


31.96 


71 


72 


64.71 


31.56 


64.57 


31.84 


64.44 


32.13 


64.29 


32.41 


72 


73 


65.61 


32.00 


65.47 


32.29 


65.33 


32.57 


65.19 


32.86 


73 


74 


66.51 


32.44 


66.37 


32.73 


66.23 


33.02 


66.08 


33.31 


74 


75 


67.41 


32.88 


67.27 


33.17 


67.12 


33.46 


66.97 


33.76 


75 


76 


68.31 


33.32 


68.16 


33.61 


68.01 


33.91 


67.87 


34.21 


76 


77 


69.21 


33.75 


69.06 


34.06 


68.91 


34.36 


68.76 


34.66 


77 


78 


70.11 


34.19 


69.96 


34.. 50 


69.80 


34.80 


69.65 


35.11 


78 


79 


71.00 


34.63 


70.85 


34.94 


70.70 


35.25 


70.55 


35.56 


79 


80 
81 


71.90 


.35.07 
35.51 


71.75 


35.38 


71.59 


35.70 


71.44 


36.01 


80 


72.80 


72.65 


35.83 


72.49 


36.14 


72.33 


36.46 


81 


82 


73.70 


35.95 


73.54 


36.27 


73.38 


36.59 


73.22 


36.91 


82 


83 


74.00 


36.38 


74.44 


36.71 


74.28 


37.03 


74.12 


37.36 


83 


84 


75.50 


36.82 


75.34 


37.15 


75.17 


37.48 


75.01 


37.81 


84 


85 


76.40 


37.26 


76.23 


37.59 


76.07 


37.93 


75.90 


38.26 


85 


86 


77.30 


37.70 


77.13 


38.04 


76.96 


38.37 


76.80 


38.71 


86 


87 


78.20 


38.14 


78.03 


38.48 


77.86 


38.82 


77.69 


39.16 


87 


88 


79.09 


38.58 


78.92 


38.92 


78.75 


39.27 


78.. 58 


39.61 


88 


89 


79.99 


39.01 


79.82 


39.36 


79.65 


39.71 


79.48 


40.06 


89 


90 
91 


80.89 


39.45 


80.72 


39.81 


80.54 


40.16 


80.37 


40.51 


90 


81.79 


39.89 


81.62 


40.25 


81.44 


40.60 


81.26:40.96 


91 


92 


82.69 


40.33 


82.51 


40.69 


82.33 


41.05 


82.151 41.41 


92 


93 


83.59 


40.77 


83.41 


41.13 


83.23 


41.50 


83.05 


41.86 


93 


94 


84.49 


41.21 


84.31 


41.58 


84.12 


41.94 


83.94 


42.31 


94 


95 


85.39 1 41.65 


85.20 


42.02 


85.02 


42.39 


84.83 


42.76 


95 


96 


86.28 42.08 


86.10 


42.46 


85.91 


42.83 


85.73 143.21 ! 96| 


97 


87.18 i 42.52 


87.00 


42.90 


86.81 


43.28 


86.62 


43.66 


97 


98 


88.08 42.96 


87.89 


43.34 


87.70 


43.73 


87.51 


44.11 


98 


99 


88.98 43.40 


88.79 


43.79 


88.60 


44.17 


88.40 


44.56 


99 


100 

5 


89.88 i 43.84 


89.69 


44.23 


89.49 


44.62 


89.30 


45.01 


100 


Dep. 1 Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 


64 Deg. 


63J Deg. 


63| Deg. 


63i Deg. 



56 



TSAV£B££ TABLE. 



r. 


27 Beg. . 


27iDeg. 27^ 


De.. 


27i Der. 




Lat 


Dep.l 


Lat, I Dep. . Lat, 


Dep. 


Lat 


Dep. 


3 
1 


0.89 


0.45 ■: 0.89 i 0.46 0,89 


0.46 


0.88 


0.47 


2 


1.78 


0,91 1 1.7S 0.92 1.77 


0.92 


1.77 


0.93 


2 


3 


2.67 


1.36 '• 2.67| 1.37 2.66 


1.39 


2.65 


1.40 


3 


4 


3.56 


1.82 - 3.56 i 1.S3 3.55 


1.85 


3.54 


1.86 


4 


5 


4.45 


2.27 . 4.45 2.29 4.44 


2.31 


4.42 


2.33 


5 


6 


5,35 


2.72 i 5.33 :• 2.75 5.32 


2.77 


5.31 


2.79 


6 


7 


6.24 


3.18 6.22; 3.21 6.21 


3.23 


6.19 


3.26 


^ 


8 


7,13 


3.63 7.11 


3.66 7.10 


3,69 


7.08 


3.72 


8 


9 


8.02 


4.09 8,00 


4.12 7.98 


4,16 


7.96 


4,19 


9 


10 
11 


8.91 


4.54 8.89 


4. .58 8.87 


4.62: 


8.85 


4.66 


10 

11 


9.80 


4.99 9.78 5.04 9.76 


5.08 


9.73 


5.12 


12 


10.69 


5.45 : 10.67 5.49 10.64 


5.54 


10.62 


5.59 


12 


13 


11.58 


5,90 , 11.56 


5.95 11.53 


6.00. 


11.50 


6.05 


13 


14 


12.47 


6.36 i 12.45 


6.41 12.42 


6.46 


12.39 


6.52 


14 


15 


13.37 


6.81 i 13.34 


6.87 j 13.31 


6.93 


13.27 


6.98 


15 


16 


14.26 


7,26 1 14.22 


7.33 > 14.19 


7,39 I 


14.16 


7,45 


16 


17 


15.15 


7.72 15,11 


7.78 15.08 


7,85 


15.04 


7.92 


17 


18 


16.04 


8,17 * 16.00 


8.24 15.97 


8.31 


15.93 


8.38 


IS 


19 


16.93 


8.63 i 16.89 


8.70 16.85 


8.77. 


16,81 


8.85 


19 


20 

21 


17.82 


9.08 
9.53 


17.78 


9.16 17.74 


9.23 


17.70 


9.31 


20 
21 


18,71 


18.67 


9.62 18.63 


9.70 


18,58 


9.78 


22 


19.60 


9.99 19.56 


10.07 19.51 


10.16 


19,47 


10.24 


22 


23 


20.49 


10.44 20.45 


10.5? 20.40 


10.62 


20,35 


10.71 


23 


24 


21.38 


10.90 21. .34 I 10.99 21.29 


11.08 


21,24 


11.17 


24 


25 


22.28 


11. .35 22.23; 11.45 22.18 


11.54 


22.12 


11.64 


25 


26 


23.17 


11.80 23.11 1 11.90 23.06 


12.01 , 


23.01 


12.11 


26 


27 


24.06 


12.26 '24.00^ 12.36 23.95 


12.47, 


23.89 


12.57 


27 


28 


24.95 


12.71 24.89 j 12.82 24.84 


12.93 ' 


24,78 


13.04 


28 


29 


25.84 


13.17 "25.78' 13.28 25.72 


13.39^ 


25.66 


13.50 


29 


30 
31 


26.73 


13.62 


26.67! 13.74 126.61 
27.56! 14.19 27. .50 


13.85 
14.31 


26.55 


13.97 


30 
31 


27.62 


14.07 


27.43 


14.43 


32 


28.51 


14.53 '28.45 


14.65 28.38 


14.78 


28.32 


14.90 


32 


33 


29.40 


14,98 ■ 29.34 


15.11 29.27 


15.24 


29.20 


15.37 


33 


34 


30.29 


15.44 30.23 


15.57 30.16 


'5.70 


! 30.09 


15.83 


•34 


35 


31.19 


15.89 31.12 


16.03 31.05 


16.16 


'30.97 


16.30 


35 


36 


32.08 


16.34 32.00 


16.48 i: 31.93 


16.62 


-31.86 


16.76 


36 


37 


32.97 


16.80 32.89! 16.94: 32.82 


17.08 


132.74 


17.23 


37 


38 


33.86 


17.25 33.78 1 17.40 33.71 


17.55 


33.63 


17.69 


3S 


39 


34.75 


17.71 34.67 1 17.86 ^4.59 


18.01 


34.51 


13.16 


39 


40 135.64 


18.16 35.56 j 18.31 35. 4S 


18.47 


35.40 


18.62 


40 


41 ; 36.53 


IS. 61 36.45 1 13.77 , 36.37 


18.93 


36.28 


19.09 


41 


42 37.42 


19.07 37.34 1 19.23 37.25 


19.39 


37.17 


19.56 


42 


43 38.31 


19.52 38.23 1 19.69 38.14 


19.86 


38.05 


20.02 


43 


44 39.20 


19.98 39. 12 120.15 39.03 


20.32 


a8.94 


20.49 


44 


45 40.10 


20.43 40.01 i 20.60 39.92 


20.78 


39.82 


20.95 


45 


46 40.99 


20.88 40.89 121.06 140.80 


21.24 


40.71 


21.42 


46 


47 41.88 


21.34 41.78 i 21.52 !, 41.69 


21.70 


141.59 


21.33 


47 


48 42.77 


21.79 42.67 i 21.98 ;i 42.58 


22.16 


t 42.48 


22 . 35 


4S 


49 43.66 


22.25 4^3.56 22.44 43.46 


22.63 


43.36 


22.82 


49 


50 


44.55 


22.70 44.45 22.89 ,44.35 


23.09 


44.25 
Dep. 


23.28 


_50 


1 


Dep. 

63] 


Lat. 


Dep. Lat. Dep. 


Lat. 


Lat. 


s 

•J 


.2 


62| Beg. 1) 62| 


Deg. 


62i 


Deg. 


1 

m 



TRAVERSE TABLE. 



£7 





i 

o 

9 

61 


27 Deg. 


m Deg. 


271 Deg. 


27| Deg. 


1 

3 
? 

51 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




45.44 


23.15 


45.34 


23.35 


45.24 


23.55 


45.13 


23.75 




52 


46.33 


23.61 


46.23 


23.81 


46.12 


24.01 


46.02 


24.21 


52 




53 


47.22 


24.06 


47.12 


24.27 


47.01 


24.47 


46.90 


24.68 


53 




64 


48.11 


24.52 


48.01 


24.73 


47.90 


24.93 


47.79 


25.14 


54 




55 


49.01 


24.97 


48.90 


25.18 


48.79 


25.40 


48.67 


25.61 


55 




56 


49.90 


25.42 


49.78 


25.64 


49.67 


25.86 


49.56 


26.07 


56 




57 


50.79 


25.88 


50.67 


26.10 


50.56 


26.32 


.50.44 


26.54 


57 




58 


51.68 


26.33 


51.56 


26.56 


51.45 


26.78 


51.33 


27.01 


58 




59 


52.57 


26.79 


52.45 


27.01 


52.33 


27.24 


52.21 


27.47 


59 




60 
61 


53.46 


27.24 


53.34 


27.47 


53.22 


27.70 


53.10 


27.94 


60 
61 




54.35 


27.69 


54.23 


27.93 


54.11 


28.17 


53.98 


28.40 




62 


55.24 


28.15 


55.12 


28.. 39 


54.99 


28.63 


54.87 


28.87 


62 




63 


.56.13 


28.60 


56.01 


28.85 


55.88 


29.09 


55.75 


29.33 


63 




64 


57.02 


29.06 


56.90 


29.30 


56.77 


29.55 


56.64 


29.80 


64 




65 


57.92 


29.51 


57.79 


29.76 


57.66 


.30.01 


57.52 


30.26 


65 




66 


58.81 


29.96 


58.68 


30.22 


58.54 


30.48 


58.41 


30.73 


66 




67 


59.70 


30.42 


59.56 


30.68 


59.43 


30.94 


59.29 


31.20 


67 




68 


60.59 


30.87 


60.45 


31.14 


60.32 


31.40 


60.18 


31.66 


68 




69 


61.48 


31.33 


61.34 


31.59 


61.20 


31.86 


61.06 


32.13 


69 




70 

71 


62.37 


31.78 


62.23 


32.05 


62.09 


32.32 


61.95 


32.59 


70 
71 




63.26 


32.23 


63.12 


32.51 


62.98 


.32.78 


62.83 


33.06 




72 


64.15 


32.69 


64.01 


32.97 


63.86 


33.25 


63.72 


33.52 


72 




73 


65.04 


33.14 


64.90 


33.42 


64.75 


33.71 


64.60 


33.99 


73 




74 


65.93 


33.60 


65.79 


33.88 


65.64 


34.17 


65.49 


34.46 


74 




75 


66.83 


34.05 


66.68 


34.34 


66.53 


34.63 


66.37 


34.92 


75 




76 


67.72 


34.50 


67.57 


34.80 


67.41 


35.09 


67.26 


35.39 


76 




77 


68.61 


34.96 


68.45 


35.26 


68.30 


35.55 


68.14 


35.85 


77 




78 


69.50 


35.41 


69.34 


35.71 


69.19 


36.02 


69.03 


36.32 


78 




79 


70.39 


35.87 


70.23 


36.17 


70.07 


36.48 


69.91 


36.78 


79 




80 
81 


71.28 


36.32 


71-12 


36.63 


70.96 


36.94 


70.80 


37.25 


80 
81 




72.17 


36.77 


72.01 


37.09 


71.85 


37.40 


71.68 


37.71 




82 


73.06 


.37.23 


72.90 


37.55 


72.73 


37.86 


72.57 


38.18 


82 




83 


73.95 


37.68 


73.79 


38.00 


73.62 


38.33 


73.45 


38.65 


83 




84 


74.84 


38.14 


74.68 


38.46 


74.51 


38.79 


74.34 


39.11 


84 




85 


75.74 


38.59 


75.57 


38.92 


75.40 


39.25 


75.22 


39.58 


85 




86 


76.63 


39.04 


76.46 


.39.38 


76.28 


39.71 


76.11 


40.04 


86 




87 


77.. 52 


39.50 


77.34 


39.83 


77.17 


40.17 


76.99 


40.51 


87 




88 


78.41 39.95 


78.23 


40.29 


78.06 


40.63 


77.88 


40.97 


88 




89 


79.30 40.41 


79.12 


40.75 


78.94 


41.10 


78.76 


41.44 


89 




90 
91 


80.19 40.86 


80.01 


41.21 


79.83 


41.56 


79.65 


41.91 


90 
91 




81.08 141.31 


80.90 


41.67 


80.72 


42.02 


80.53 


42.37 




92 


81. 97141. 77 


81.79 


42.12 


81.60 


42.48 


81.42 


42.84 


92 




93 


82.86 142.22 


82.68 


42.58 


82.49 


42.94 


82.30 


43.30 


93 




94 


83.75 142.68 


83.57 


43.04 


83.38 


43.40 


83.19 


43.77 


94 




95 


84.65 ,43.13 


84.46 


43.50 


84.27 


43.87 


84.07 


44.23 


95 




96 


85.54 1 43.58 i 


85.35 


43.96 


85.15 


44.33 


84.96 


44.70 


96 




97 


86.43 i 44.04 


86.23 


44.41 


86.04 


44.79 


85.84 


45.16 


9T 




98 


87.32 ! 44.49 


87.12 


44.87 


86.93 


45.25 


86.73 


45.63 


98 




99 


88.21 44.95 j 


88.01 


45.33 


87.81 


45.71 


87.61 


46.10 


99 




100 

6 
o 
c 
B 

3 


89.10 ! 45.40 1 


88.90 


45.79 


88.70 


46.17 


88.. 50 


46.56 


100 

1 

CO 

Q 




Dep. 1 Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




63 Dej. 


62| Deg. 


621 Deg. 


62i Deg. 



S8 



TRAVERSE TABLE* 



p 


28 Deg. 


28i Deg. 


28i 


Deg. 


281 Deg. 




? 
1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 

0.48 


1 


0.88 


0,47 


0.88 


0.47 


0.88 


0.48 


0.88 


2 


1.77 


0,94 


1.76 


0.95 


1.76 


0.95 


1.75 


0.96 


2 


3 


2.65 


1,41 


2.64 


1.42 


2.64 


1.43 


2.63 


1.44 


3 


4 


3.53 


1.88 


3.52 


1.89 


3.52 


1.91 


3.51 


1.92 


4 


5 


4.41 


2,35 


4.40 


2.37 


4.39 


2.39 


4.38 


2.40 


5 


6 


5.30 


2,82 


5.29 


2.84 


5.27 


2.86 


6.26 


2.89 


6 


7 


6.18 


3,29 


6.17 


3.31 


6.15 


3.34 


6.14 


3.37 


7 


8 


7.06 


3,76 


7.05 


3.79 


7.03 


3.82 


7.01 


3.85 


8 


9 


7.95 


4,23 


7.93 


4.26 


7.91 


4.29 


7.89 


4.33 


9 


10 

11 


8,83 


4.69 


8.81 


4.73 
5.21 


8.79 


4.77 


8.77 


4.81 


10 


9,71 


5.16 


9.69 


9.67 


5.25 


9.64 


5.29 


11 


12 


10,60 


5,63 


10.57 


5.68 


10.55 


5.73 


10.52 


5,77 


12 


13 


11,48 


6.10 


11.45 


6.15 


11.42 


6.20 


11.40 


6.25 


13 


14 


12.36 


6.57 


12.33 


6.63 


12.30 


6.68 


12.27 


6.73 


14 


15 


13.24 


7,04 


13.21 


7.10 


13.18 


7.16 


13.15 


7.21 


15 


16 


14.13 


7,51 


14,09 


7.57 


14.06 


7.63 


14.03 


7.70 


16 


17 


15,01 


7.98 


14.98 


8.05 


14.94 


8.11 


14.90 


8.18 


17 


18 


15,89 


8,45 


15.86 


8.52 


15.82 


8,59 


15.78 


8.66 


18 


19 


16,78 


8.92 


16.74 


8.99 


16.70 


9.07 


16.66 


9.14 


19 


20 


17,66 


9.39 


17.62 


9.47 


17.58 


9,54 


17.53 


9.62 


20 


21 


18,54 


9.86 


18.50 


9.94 


18.46 


10.02 


18.41 


10.10 


21 


22 


19,42 


10.33 


19.38 


10.41 


19.33 


10,50 


19.29 


10.58 


22 


23 


20,31 


10.80 


20.26 


10.89 


20.21 


10,97 ! 20.16 


11.06 


23 


24 


21,19 


11.27 


21.14 


11.36 


21.09 


11.45!, 21.04 


11.54 


24 


25 


22.07 


11.74- 


22.02 


11.83 


21.97 


11.93i 


21.92 


12.02 


25 


26 


22.96 


12.21 


22.90 


12.31 


22.85 


12.41 i 


22.79 


12.51 


26 


27 


23.84 


12.68 


23.78 


12.78 


23.73 


12.88 1 


23.67 


12.99 


27 


28 


24,72 


13.15 


24.66 


13.25 


24.61 


13.36 1 


24.55 


13.47 


28 


29 


25.61 


13.61 


25.55 


13.73 


25.49 


13.84 1 


25.43 


13.95 


29 


30 
31 


26.49 
27.37 


14.08 


26.43 


14.20 


26.36 


14.31 


26.30 


14.43 


30 
31 


14.55 


27.31 


14.67 


27.24 


14.79 


27.18 


14.91 


32 


28.25 


15.02 


28.19 


15.15 


28.12 


15.27 


28.06 


15.39 


32 


33 


29.14 


15.49 


29.07 


15.62 


29.00 


15.75 


28.93 


15.87 


33 


34 


30.02 


15.96 


29.95 


16.09 


29.88 


16,22 


29.81 


16.35 


34 


35 


30.90 


16.43 


30.83 


16.57 


30.76 


16,70 


30.69 


16.83 


35 


36 


31.79 


16.90 


31.71 


17.04 


31.64 


17.18 


31.56 


17.32 


36 


37 


32.67 


17.37 


32.. 59 


17.51 


32.52 


17.65 


32.44 


17.80 


37 


38 


33.55 


17.84 


33.47 


17.99 


33.39 


18,13 


33.32 


18.28 


38 


39 


34.43 


18.31 


34.35 


18.46 


34.27 


18.61 


34.19 


18.76 


39 


40 


35.32 


18.78 


35.24 


18.93 


35.15 


19.09 


35.07 


19.24 


40 


41 


36.20 


19.25 


36.12 


19.41 


36.03 


19.56 


35.95 


19.72 


41 


42 


37.08 


19.72 


37.00 


19.88 


36.91 


20.04 


36.82 


20.20 


42 


43 


37,97 


20.19 


37.88 


20.35 


37.79 


20.52 


37.70 


20.68 


43 


44 


38.85 


20.66 


38.76 


20.83 


38.67 


20.99 


38.58 


21.16 


44 


45 


39.73 


21.13 


39.64 


21.30 


39.55 


21.47 


39.45 


21.64 


45 


46 


40.62 


21.60 


40.52 


21.77 


40.43 


21.95 


40.33 


22.13 


46 


47 


41.50 


22.07 


41.40 


22.25 


41.30 


22.43 


41.21 


22.61 


47 


48 


42.38 


22.. 53 


42.28 


22.72 


42.18 


22.90 


42.08 


23.09 


48 


49 


43.26 


23.00 


43.16 


23.19 


43.06 


23.38 


42.96 


23.. 57 


49 


50 

• 1 


44.15 


23.47 


44.04 


23.67 


43.94 


23.86 


43.84 


24.05 


50 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat, 


8 

c 

to 


62 1 


Deg. 


6 If Deg. 


6U 


Deg. 


6U Deg. 



TRAVERSE TABLE. 



S9 



»' 
p 

3 

a 

? 

"51 


1 
28 Deg. 


28i Deg. 


28i Deg. 


28J Deg. 


u 

1 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


45.03 


23.94 1 


44.93 


24.14 


44.82 


24.34 


44.71 


24.. 53 


52 


45.91 


24.41 


45.81 


24.61 


45.70 


24.81 


46.59 


25.01 


62 


53 


46.80 


24.88 


46.69 


25.09 


46.58 


25.29 


46.47 


25.49 


63 


54 


47.68 


25.35 


47.57 


25.56 


47.46 


25.77 


47.34 


25.97 


54 


55 


48.56 


25.82 


48.45 


26.03 


48.33 


26.24 


48.22 


26.45 


56 


56 


49.45 


26.29 


49.33 


26.51 


49.21 


26.72 


49.10 


26.94 


56 


57 


50.33 


26.76 ' 


50.21 


26.98 


.50.09 


27.20 


49.97 


27.42 


57 


58 


51.21 


27.23 


51.09 


27.45 


50.97 


27.08 


50.85 


27.90 


58 


59 


52.09 


27.70' 


51.97 


27.93 


61.85 


28.15 


51.73 


28.38 


69 


60 
61 


52.98 


28.17 1 


52.85 


28.40 


52.73 


28.63 


52.60 


28.86 


60 
61 


53.86 


28.64 1 


53.73 


28.87 


63.61 


29 . 11 i 


53.48 


29.34 


62 


54.74 


29.11 1 


54.62 


29.35 


54.49 


29.58 


54.36 


29.82 


62 


63 


55.63 


29.58 


55.50 


29.82 


55.37 


30.06 


65.23 


30.30 


63 


64 


56.51 


30.05 


66.38 


30.29 


56.24 


30.54 


56.11 


30.78 


64 


65 


57.39 


30.52 


57.26 


30.77 


57.12 


31.02 


66.99 


31.26 


65 


66 


58.27 


30.99 1 


58.14 


31.24 


68.00 


31.49 


57.86 


31.75 


66 


67 


59.16 31.45! 


59.02 


31.71 


68.88 


31.97 


58.74 


32.23 


67 


68 


60.04 


31.92 1 


69.90 


32.19 


69.76 


32.45 


59.62 


32.71 


68 


69 


60.92 


32.39. 


60.78 


32.66 


60.64 


32.92 


60.49 


33.19 


69 


70 
71 


61.81 


32.86 i 


61.66 


33.13 


61.52 


33.40 


61.37 


33.67 


70 
71 


62.69 


33.33 


62.54 


33.61 


62.40 


33.88 


62.25 


34.15 


72 


63.57 


33.80 


63.42 


34.08 


63.27 


34.36 


63.12 


34.63 


72 


73 


64.46 


34.27 


64.30 


34.55 


64.15 


34.83 


64.00 


35.11 


73 


74 


65.34 


34.74 


65.19 


35.03 


65.03 


35.31 


64.88 


35.59 


74 


75 


66.22 


35.21 


66.07 


35.50 


65.91 


35.79 


65.75 


36.07 


75 


76 


67.10 


35.68 


66.95 


35.97 


66.79 


36.26 


66.63 


36.56 


76 


77 


67.99 


36.15 


67.83 


36.45 


67.67 


36.74 


67.51 


37.04 


77 


78 


68.87 


36.62 


68.71 


36.92 


68.. 55 


37.22 


68.38 


37.52 


78 


79 


69.75 


37.09 


69.59 


37.39 


69.43 


37.70 


69.26 


38.00 


79 


80 
81 


70.64 


37.56 


70.47 


37.87 


70.31 


38.17 


70.14 


38.48 


80 
81 


71.52 


38.03 


71.35 


38.34 


71.18 


38.65 


71.01 


38.96 


82 


72.40 


38.50 


72.23 


38.81 


72.06 


39.13 


71.89 


39.44 


82 


83 


73.28 


38.97 


73.11 


39.29 


72.94 


39.60 


72.77 


39.92 


83 


84 


74.17 


39.44 


73.99 


39.76 


73.82 


40.08 


73.64 


40.40 


84 


85 


75.05 


39.91 


74.88 


40.23 


74.70 


40.. 56 


74.52 


40.88 


85 


86 


75.93 


40.37 


75.76 


40.71 


75.58 


41.04 


75.40 


41.36 


86 


87 


76.82 


40.84 


76.64 


41.18 


76.46 


41.51 


76.28 


41.85 


87 


88 


77.70 


41.31 


77.52 


41.65 


77.34 


41.99 


77.15 


42.33 


88 


89 


78.58 


41.78 


78.40 


42.13 


78.21 


42.47 


78.03 


42.81 


89 


90 
91 


79.47 


42.25 


79.28 


42.60 


79.09 


42.94 


78.91 


43.29 


90 
91 


80.35 


42.72 


80.16 


43.07 


79.97 


43.42 


79.78 


43.77 


92 


81.23 


43.19 


81.04 


43.55 


80.85 


43.90 


80.66 


44.25 


92 


93 


82.11 


43.66 


81.92 


44.02 


81.73 


44.38 


81.54 


44.73 


93 


94 


83.00 


44.13 


82.80 


44.49 


82.61 


44.85 


82.41 


46.21 


94 


95 


83.88 


44.60 


83.68 


44.97 


83.49 


45.33 


83.29 


45.69 


95 


96 


84.76 


45.07 


84.57 


45.44 


84.37 


45.81 


84.17 


46.17 


96 


97 


85.65 


45.54 


85.45 


45.91 


85.25 


46.28 


85.04 


46.66 


97 


98 


86.53 


46.01 


86.33 


46.39 


86.12 


46.76 


85.92 


47.14 


98 


99 


87.41 


46.48 


87.21 


46.86 


87.00 


47.24 


86.80 


47.62 


99 


1 Distance. § 


88.29 


46.95 


88.09 


47.33 


87.88 


47.72 


87.67 


48.10 


100 

a 

1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 Lat. 


Dep. 


Lat. 


62 Deg. 


61.1 Deg. 

i 


6U Deg. 


6U Deg. 



60 



TRAVERSE tASLE. 



f 
? 

1 


29 Deg. ) 


29i Deg. 1' 


1 
29i Deg. ; 29i Deg. 


i 




Lat. 


Dep. 


La., j 


Dep. 


Lat. , Dep. j Lat. 


Dep. 




0.87 


0.48 


0.87 


0.49 ' 


0.87 0.49 ' 0.87 


0.50 


1 




2 


1.75 


0.97 


1.74 


0.98 


1.74 0.98 i 1.74{ 0.99 


2 




3 


2.62 


1.4o 


2.62 


1.47 : 


2.61' 1.48 2.60! 1.49 


3 




4 


3.50 


1.94 


3.49 


1.95 ! 


3.48 1.97; 


3.47 1.98 


4 




5 


4.37 


2.42 


4.36 


2.44 j 


4.35 2.46 


4.34 2.48 


5 




6 


5.25 


2.91 


5.23 


2.93 1 


5.22 2.95 


5.21 2.98 


6 




7 


6.12 


3.39 


0.11 


3.42 


6.09, 3.45 


6.08 3.47 7 




8 


7.00 


3.88 


6.98 


3.91 


6.96 3.94 1 


6.95 3.97 : 8 




9 


7.87 


4.36 


7.85 


4.40 


7.83 4.43, 


7.81 4.47 9 




10 


8.75 


4.85 


8.72 
9.60 


4.89 1 


8.70 4.92 


8.68 4.90 


10 
11 




n 


9.62 


5.. 33 


5.37 ; 


9.57 5.42 ' 9.55: 5.46 




12 


10.50 


5.82 


10.47 


5.86 1 


10.44, 5.91 I 10.42' 5.95 12 




13 


11.37 


6.30 


11.34 


6.35 1 

6.84 1 


11.31 6.40 I 11.29 1 6.45 13 




14 


12.24 


6.79 


12.21 


12.18 ! 6.89 i 12.15 1 6.95 I 14 




15 


13.12 


7.27 


13.09 


7.33 


13.06 7.39 13.02; 7.44 1 15 




16 


13.99 


7.76 


13.96 


7. 82 ■ 


13.93 7.83 : 13.89; 7.94 1 16 




17 


14.87 


8.24 


14.83 


8.31 


14.30 \ 8.37 ' 14.76 8.44 1 17 




18 


15.74 


8.73 


15.70 


8.80 1 


15.67 8.86 1 15.63 1 8.93 \ 18 




19 


16.62 


9.21 


16.58 


9.28 ! 


16.54 1 9.36 16.50 > 9.43 ! 19 




20 


17.49 


9.70 


17.45 
18.32 


9.77 ' 


17.41 1 9.85 ' 17.36 1 9.92 ; 20 
18.28 10.34 18.23 10.42 , 21 




21 


18.37 


10.18 


10.26 




22 


19.24 


10.67 


19.19 


10.75 


19.15 10.83 19.10 10.92 22 




23 


20.12 


11.15 


20.07 


11.24 ■ 


20.02 11.33 19.97 11.41 23 




24 


20.99 


11.64 


20.94 


11.73 ; 


20.89 ' 11.82 20.84; 11.91 1 24 




25 


21.87 


12.12 


21.81 


12.22 


21.76, 12.31 21.70 12.41 i 25 




26 22.74 


12.60; 


22 . 68 


12.70 


22.63 12.80 22.57 12.90 26 




27 


23.61 


13.09 


23.56 


13.19 • 


23.50 13.30 23.44; 13.40 , 27 




2S 


24.49 


13.57 


24.43 


13.68 


24.37 13.79 24.31 : 13.89 28 




29 


25.36 


14.06 


25.. 30 


14.17 


25.24 14.28 ' 25.18 1 14.39 ! 29 




30 
31 


20.24 


14.54 


26.17 


14.66 


26.11 14.77 


26.05 ; 14.8y ; 30 
26.91 ; 15.38 ; 31 




27.11 


15.03 


27.05 


15.15 


26.98 15.27 




32 


27.99 


15.51 


27.92 


15.64 


27.85 15.76^27. 78 15.88:32 




33 


28.86 


16.00 


28 . 79 


16.12 


23.72; 16.25 28.65, 16.38 ! 33- 




34 


29.74 


16.48 


29.66 


16.61 


29.59 : 16.74 29.52 16.87 ; 34 




35 130.61 


16.97 


30.54 


17.10 


30.46] 17.23 i 30.39 17.37 . 35 




36 


31.49 


17.45 


31.41 


17.59 


31.33 ; 17.73 , 31.26 : 17.86 36 




37 


32.36 


17.94 


, 32.28 


18.08 


32.20 i 13.22 '32.12 ; 1*8.36 i 37 




3S 


33.24 


18.42 


1 33.15 


18.57 


33.07' 13.71 : 32.99; 18.86 | 38 




39 


34.11 


18.91 


1 34.03 


19.06 


33.94! 19.20 33.86 ' 19.35 - 39 




40 


34.98 


19.39 

19.88 


' 34.90 


19.. 54 


34.81 : 19.70 ; 34. 73 19.85} 40 
35.68 120.19 ' 35.60 20.34 ■ 41 




41 


35.36 


35,77 


•20.03 




42 1 36.73 


20.36 


: 36.64 


i 20 . 52 


36.55 20.68 ,! 36.46 20.84 i 42 




43 1 37.61 


20.85 


37.52 


21.01 


, 37.43 21.17 37.33 ,21.34 43 




44! 38.48 


21.33 


38.39 


21.. 50 


! 33.30 21.67; 38.20 '21.83 44 




45 1 39.36 


21.82 


39.26 


21.99 


1 39.17 122.16 ; 39.07 t 22.33 45 




46 140.23 


22.30 40.13 


22.48 


'40.04 ; 22.65 


39.94 22.83 | 46. 




47 141.11 


22.79 41.01 


.22.97 


140.91 .23.14 


40.81 23.32 47 




48 41. 9S 


23.27 41.88 


: 23.45 


141.78 '23.63 


i 41.67 23.82 ', 48 




49 '42.86 


23.76 42.75 


23.94 


^42.65 24.13 


,;42.54 24.31 1 49 




50 43.73 


24.24 43.62 


24.43 


•43.52 24.62 
Dep. [Lat. 


143.41 24.31 50 




i 


1 Dep. 


; Lat. 1 Dep. 


1 Lat 


Dep. [ Lat. 


1 3* 




s 

X 


: 61 


Beg. , -601 


Deg. 


1 eOh Deg. 

1 


ij 60iDeg. 


.2 





TRAVERSE TABLE. 



ei 



p 

a 
o 
a 

"51 


29 Deg. 


29iDeg. 


29^ Deg. 


291 Deg. 


O 

"tl 


Lat. 


Dep. 


Lat. 


Dep. 
24 . 92 


Lat. 


Dep. 


Lat. 


Dep. 


44.61 


24.73 


44.50 


44.39 


25.11 


44.28 


25.31 


52 


45.48 


25.21 


45.37 


25.41 


45.26 


25.61 


45.15 


25.80 


52 


63 


46.35 


25.69 


46.24 


25.90 


46.13 


26,10 


46.01 


26.30 


53 


54 


47.23 


26.18 


47.11 


26.39 


47.00 


26.59 


46.88 


26.80 


54 


55 


48.10 


26.66 


47.99 


26.87 


47.87 


27.08 


47.75 


27.29 


iib 


56 


48.98 


27.15 


48.86 


27.36 


48.74 


27,, 58 


48.62 


27.79 


56 


57 


49.85 


27.63 


49.73 


27.85 


49.61 


28.07 


49.49 


28.28 


57 


58 


50.73 


28.12 


50.60 


28.34 


50.48 


28.56 


50.36 


28.78 


58 


59 


51.60 


28.00 


51.48 


28.83 


51.35 


29.05 


51.22 


29.28 


59 


60 
61 


.52.48 


29.09 
29.57 


52.35 
53.22 


29.32 


52.22 


29.55 


52.09 


29.77 


00 


53.35 


29.81 


53.09 


30.04 


52.96 


30.27 


61 


62 


54.23 


30.06 


54.09 


30.29 


53.96 


30.53 


53.83 


30.77 


62 


63 


55.10 


30.54 


54.97 


30.78 


54.83 


31.02 


54.70 


31.26 


63 


64 


55.98 


31.03 


55.84 


31.27 


55.70 


31.52 


55.56 


31.76 


64 


65 


56.85 


31.51 


56.71 


31.76 


56.57 


32.01 


,56.43 


32.25 


bb 


66 


57.72 


32.00 


57.58 


32.25 


57.44 


32.50 


57.30 


32.75 


66 


67 


58.60 


32.48 


.58.46 


32.74 


.58.31 


32.99 


58.17 


33.25 


67 


68 


59.47 


32.97 


59.33 


33.23 


59.) 8 


33.48 


59.04 


33.74 


68 


69 


60.35 


33.45 


60.20 


33.71 


60.05 


33.98 


,59.91 


34.24 


69 


70 
71 


61.22 


33.94 


61.07 


34.20 
34.69 


60.92 


34.47 


60.77 


34.74 


VU 


62.10 


34.42 


61.95 


61.80 


34.96 


61.64 


35.23 


71 


72 


62.97 


34.91 


62.82 


35.18 


62.67 


35.45 


62.51 


35.73 


72 


73 


63.85 


35.39 


63.69 


35.67 


63.54 


35.95 


63.. 38 


36.22 


73 


74 


64.72 


35.88 


64.. 56 


36.16 


64.41 


36.44 


64.25 


36.72 


74 


75 


65.60 


36.36 


65.44 


36.65 


65.28 


36.93 


65.11 


37.22 


75 


76 


66.47 


36.85 


66.31 


37.14 


66.15 


37.42 


65.98 


37.71 


76 


77 


67.35 


37.33 


67.18 


37.62 


67.02 


37.92 


66.85 


38.21 


77 


78 


68.22 


37.82 


68.05 


38.11 


67.89 


38.41 


67.72 


38.70 


78 


79 


69.09 


38.30 


68.93 


38.60 


68.76 


38.90 


68.59 


39.20 


79 


80 
81 


69-97 

70.84 


38.78 


69.80 


39.09 


69.63 


39.39 


69.46 


39.70 
40.19 


80 
81 


39.27 


70.67 


39.58 


70.50 


39.89 


70.32 


82 


71.72 


39.75 


71.54 


40.07 


71.37 


40.38 


71.19 


40.69 


82 


83 


72.59 


40.24 


72.42 


40.56 


72.24 


40.87 


72.06 


41.19 


83 


84 


73.47 


40.72 


73.29 


41.04 


73.11 


41,36 


72.93 


41.68 


84 


85 


74.34 


41.21 


74.16 


41.53 


73.98 


41.86 


73.80 


42.18 


85 


86 


75.22 


41.69 


75.03 


42.02 


74.85 


42.35 


74.67 


42.67 


86 


87 


76.09 


42.18 


75.91 


42.51 


75.72 


42.84 


75.53 


43.17 1 871 


88 


76.97 


42.66 


76.78 


43.00 


76.59 


43.33 


76.40 


43.67 


88 


89 


77.84 


43.15 


77.65 


43.49 


77.46 


43.83 


77.27 


44.16 


89 


90 
91 


78.72 


43.63 


78.52 


43.98 


78.33 


44.32 

44.81 


78.14 


44.66 


90 


79.59 


44.12 


79.40 


44.46 


79.20 


79.01 


45.16 


91 


92 


80.46 


44.60 


80.27 


44.95 


80.07 


45.30 


79.87 


45.65 


92 


93 


81.34 


45.09 


81.14 


45.44 


80.94 


45.80 


80.74 


46.15 


93 


94 


82.21 


45.57 


82.01 


45.93 


81.81 


46.29 


81.61 


46.64 


94 


95 


83.09 


46.06 


82.89 


46.42 


82.68 


46.78 


82.48 


47.14 


95 


96 


83.96 


46.. 54 


83.76 


46.91 


83.55 


47.27 


83.35 


47.64 


96 


97 


84.84 


47.03 


84.63 


47.40 


84.42 


47.77 


84.22 


48.13 


97 


98 


85.71 


47.51 


85.50 


47.88 


85.29 


48.26 


85.08 


48.63 


98 


99 


86.59 


148.00 


86.38 


48.37 


86.17 


48.75 


85.95 


49.13 


99 


100 


87.46 


1 48.48 


87.25 


48.86 
Lat. 


87.04 


49.24 


86.82 


49.62 


100 

Q 


Dep. 


Lat. 


Dep. 


Dep. 


Lat. 


Dep. 


Lat. 


61 Deg. 


601 Deg. 


60i Deg. 


eOk Deg. 



6« 



TRAVERSE TABLE. 



s 
§ 

1 


30 Deg. •! 3(H I>eg. 


3(H 

_ 


Deg. 


301 Deg. 


1 
1 


Lat. 


Dep. Lat. 


Dep. 


1 Lat. 


Dep. 


Lat. 


Dep. 


0.87 


0..50 I 0.86 


0.50 


' 0.86 


0.51 


0.86 


0.51 


2 


1.73 


1.00 1.73 


l.Ol 


1.72 


1.02 


1.72 


1.02 


2 


3 


2.60 


1..50 ' 2.59 


1.51 


; 2.58 


1.52. 


2.58 


1.53 


3 


4 


3.46 


2.00; 3.46 


2.02 


3.45 


2.03 


3.44 


2.05 


4 


5 


4.33 


2.50 4.32 


2.52 


4.31 


2.54 


4.30 


2.56 


5 


6 


5.20 


3.00 5.18 


3.02 


5.17 


3.05 


5.16 


3.07 


6 


7 


6.06 


3.50 6.05 


3.53 


6.03 


3.55 


6.02 


3.58 


7 


8 


6.93 


4.00 ' 6.91 


4.03 6.89 


4.06 


6.88 


4.09 


8 


9 


7.79 


4.50 7.77 


4.53 


7.75 


4.57 


7.73 


4.60 


9 


10 


8.66 


5.00 8.64 


5.04 


8.62 


5.08 


8.. 59 


5.11 


10 
11 


11 


9.53 


5.50 9.50 


5. .34 


9.43 


5.53 


9.45 


5.62 


12 


10.39 


6.00 10.37 


6.05 


10.34 


6.09 ; 10.31 


6.14 


12 


13 


11.26 


6.50 11.23 


6.55 


11.20 


6.60 


11.17 


6.65 


13 


14 


12.12 


7.00 12.09 


7.05 


12.06 


7.11 j 


12.03 


7.16 


14 


15 


12.99 


7.50 12.96 


7.56 


12.92 


7.61 1 


12.89 


7.67 


15 


16 


13.86 


8.00 13.32 


8.06 


13.79 


8.12! 


13.75 


8.18 


16 


17 


14.72 


8.50 14.69 


8.56 


14.65 


8.63, 


14.61 


8.69 


17 


18 


15.59 


9.00 15.55 


9.07 


15.51 


9.14' 


15.47 


9.20 


18 


19 


16.45 


9.. 50 16.41 


9.57 


16.37 


9.64 


16.33 


9.71 


19 


20 1 17.32 

21 ■ 18.19 


10.00 17.28 


10.08 


17.23 


10.15 1 17.19 


10.23 


20 
21 


10.50 18.14 


10.53 


18.09 


10.66 ' 13.05 


10.74 


22 ; 19.05 


11.00 19.00 


11.03 


18.96 


11.17 13.91 


11.25 


22 


23 ! 19.92 


11.50 19.87 


11.59 


19.82 


11.67 ' 19.77 


11.76 


23 


24 1 20.78 


12.00 ,'20.73 


12.09 


20.63 


12.18 ; 20.63 


12.27 


24 


25 21.65 


12.50 i: 21.60 


12.. 59 


21.54 


12.69 j 21.49 


12.73 


25 


26 '22.52 


13.00 '22.46 


13.10 


22.40 


; 13.20 1 22.34 


13.29 


26 


27 ; 23.38 


13.50 23.32 


13.60 


,23.26 


13.70 23.20 


13.80 


27 


; 28 124.25 


14.00 24.19 


14.11 


124.13 


' 14.21 124.06 


14.32 


28 


29 ! 25.11 


14.50 25.05 


14.61 


24.99 


14.72 '24.92 


14.83 


29 


30 '25.98 

31 : 26.85 


15.00 25.92 
15.50 26.78 


15.11 


25.85 


15.23 25.73 
15.73 26.64 


15.34 


30 
31 


15.62 26.71 


15.85 


32 1 27.71 


16.00 , 27.64 


16.12 27.57 


16.24 27.50 


16.36 


32 


33 -23.58 


16.50 28.51 


16.62 23.43 


16.75 23.36 


16.87 


33 


34 129.44 


17.00 29.37 


17.13 29.30 


; 17.26 : 29.22 


17.33 


34 


35 30.31 


17.50 30.23 


17.63 


30.16 


. 17.76 : 30.03 


17.90 


35 


36 31.18 


18.00 31.10 


13.14 


31.02 


18.27 ' 30.94 


13.41 


36 


37 '32.04 


18.50 31.90 


13.64 


31.83 


13.73 = 31.30 


18.92 


37 


38 .32.91 


19.00 32. S3 


19.14 


32 . 74 


19.29 32.66 


19.43 


38 


39 33.77 


19.50 33.69 


19.65 


33.60 


19.79 33.. 52 


19.94 


39 


40 34.64 

41 35.51 


20.00 34.55 
20.. 50 35.42 


20.15 
20.65 


34.47 
35.33 


20.30 
20.31 


34.33 


20.45 


40 

41 


35 . 24 


20.96 


42 .36.37 


21.00 36.28 


21.16 


36.19 


21.32 36.10 


21.47 


42 


43 37.24 


21.. 50 37.14 


21.66 


37.05 


21.82 36.95 


21.99 


43 


44 38.11 


22.00 38.01 


22.17 


37.91 


22.33 37.31 


22.. 50 


44 


45 38.97 


22.. 50 3S.87 


22.67 


38.77 


22.34 33.67 


23.01 


45 


46 39.84 


23.00 39.74 


23.17 


39.63 


23.35 39.53 


23.52 


46 


47 40.70 


23.50 40.60 


23.63 


40.50 


23.35 40.39 


24.03 


47 


48 41.57 


24.00 41.46 


24.18 


41.36 


24.36 41.25 


24.54 


43 


49 42.44 


24.50 42.33 


'24.63 


42.22 


24.37 42.11 


25.05 


49 


50 43.30 


25.00 43.19 
Lat. Dep. 


125.19 
Lat. 


,43.03 
Dep. 


25.33 
Lat. 


42.97 


25 . 56 


50 


: Dep. 


■ Lat. 






i 

60 Deg. 59J Beg. 


5^ 


Deg. ; 59i 


Deg. 



TRAVERSE TABLE. 



63 



30 Deg. 



Lat, Dep, Lat 



44.17 
45.03 
45.90 
46.77 
47.63 
48.60 
49. 30 
50.23 
51.10 
51.96 



52.83 
53.69 
54.56 
55.43 
56.29 
57.16 
58.02 
58.89 
.59 . 76 
60.62 



61.49 

62 . 35 

63 . 22 
64.09 
64.95 
65.82 
66.68 
67.55 
68.42 
69.28 



70.15 
71.01 
71.88 
72.75 
73.61 
74.48 
75.34 
76.21 
77.08 
77.94 



78.81 
79.67 
80.54 
81.41 
82.27 
83.14 
84.00 
84.87 
85.74 
86.60 



40.50 
41,00 
41.. 50 
42.00 
42.50 
43.00 
43.50 
44.00 
44.50 
45.00 



45.50 
46.00 
46.50 
47.00 
47.50 
48.00 
48.. 50 
49.00 
49.50 
50.00 



60 Deg. 



30i Deg. 



78.61 
79.47 
80.34 
81.20 
82,06 
82.93 
83.79 
84.66 
85.52 
86.38 



30i Deg. 



Lat. Dep. Lat. Dep 



35 . 77 
36.27 
36.78 
37.28 
37.78 
38.29 
38.79 
39,29 
39.80 
40.30 



40.81 
41.31 
41.81 
42.32 
42 . 82 
43.32 
43.83 
44.33 
44.84 
45.34 



43.94 
44.80 
45.67 
46.53 
47.39 
48.25 
49.11 
49.97 
50.84 
51.70 



52 . 56 
53.42 
54.28 
55.14 
56.01 
56.87 
57.73 
58 . 59 
59.45 
60.31 



25.88 
26.39 
26.90 
27.41 
27.91 
28,42 
28.93 
29.44 
29.94 
30.45 



61.18 
62.04 
62.90 
63.76 
64,62 
65,48 
66.35 
67.21 
68.07 
68.93 



,55 



45.84:178 



46.35 
46.85 
47.35 
47.86 
48.36 
48.87 
49.37 
49.87 
50.38 



30.96 
31.47 
31.97 
32.48 
32.99 
33.50 
34.01 
34.51 
35.02 
35.53 



36.04 
36.54 
37.05 
37.56 
38.07 
,38,57 
39.08 
39 . 59 
40.10 
40.60 
41.11 
41.62 
42.13 
42.63 
43.14 
43.65 
44.16 
44,66 
45.17 
45.68 



30; Deg. 



43.83 
44,69 
45.55 
46,41 
47.27 
48.13 
48.99 
49.85 
50.70 
51.56 



52.42 
53.28 
54.14 
55.00 
55.86 
56 . 72 
67.58 
.58.44 
59.30 
60.16 



46.19 
46.69 
47.20 
47.71 
48.22 
,72 48.72 
49.23 
49.74 
50.25 
50.75 



Dep. Lat. Dep. Lat. ' Dep. Lat. Dep. Lat. 



591 Deg. 



59i Deg. 



61.02 
61.88 
62,74 
63.60 
64.46 
65.31 
66.17 
67.03 
67.89 
^8.75 



26.08 
26.59 
27,10 
27,61 
28.12 
28.63 
29.14 
29.65 
30,17 
30,68 



31,19 
31,70 
32.21 
32,72 
33,23 
33,75 
34.26 
34.77 
35.28 
35.79 



69.61 
70.47 
71.33 
72.19 
73.05 
73.91 
74.77 
75.63 
76.49 
77.35 



78.21 
79.07 
79.92 
80.78 
81.64 
82.50 
83.36 
84.22 
85,08 
85,94 



36.30 
36.81 
37.32 
37.84 
38.35 
38.86 
39.37 
39.88 
40.39 
40.90 
41.41 
41.93 
42.44 
42 . 95 
43.46 
43.97 
44.48 
44.99 
45.51 
46.02 



46.53 
47.04 
47.55 
48.06 
48.57 
49.08 
49.60 
50.11 
50.62 
51.13 



59^ Deg. 



64 



TRAVEUSE TABLir» 



i 


31 Deg. 

! 


31i Deg. 


3U Deg. 


311 Deg. 




Lat. 


Dep. 


Lat. 


Dep. 

0.52 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.86 


0.51 


0.85 


0.85 


0.52 


0.85 


0.53 


1 


2 


1.71 


1.03 


1.71 


1.04 


1.71 


1.04 


1.70 


1.05 


2 


3 


2.57 


1.55 


2.56 


1.56 


2.56 


1.57 


2.55 


1.58 


3 


4 


3.43 


2.06 


3.42 


2.08 


3.41 


2.09 


3.40 


2.10 


4 


5 


4.29 


2.58 


4.27 


2.59 


4.26 


2.61 


4.25 


2.63 


5 


6 


5.14 


3.09 


5.13 


3.11 


5.12 


3.13 


5.10 


3.16 


6 


7 


6.00 


3.61 


5.98 


3.63 


5.97 


3.66 


5.95 


3.68 


7 


8 


6.86 


4.12 


6.84 


4.15 


6.82 


4.18 


6.80 


4.21 


8 


9 


7.71 


4.64 


7.69 


4.67 


7.67 


4.70 1 


7.65 


4.74 


9 


10 


8.57 


5.15 


8.55 


5.19 


8.. 53 


5.22 


8.. 50 


5.26 


10 


11 


9.43 


5.67 


9.40 


5.71 


9.38 


5.75 


9.35 


5.79 


11 


12 


10.29 


6.18 


10.26 


6.23 


10.23 


6.27 


10.20 


6.31 


12 


13 


11.14 


6.70 


11.11 


6.74 


11.08 


6.79 


11.05 


6.84 


13 


14 


12.00 


7.21 


11.97 


7.26 


11.94 


7.31 


11.90 


7.37 


14 


15 


12.86 


7.73 


12.82 


7.78 


12.79 


7.84 


12.76 


7.89 


15 


16 


13.71 


8.24 


13.68 


8.30 


13.64 


8.36 


13.61 


8.42 


16 


17 


14.57 


8.76 


14.53 


8.82 


14.49 


8.88 


14.46 


8.95 


17 


18 


15.43 


9.27 


15.39 


9.34 


15.35 


9.40 


15.31 


9.47 


18 


19 


16.29 


9.79 


16.24 


9.86 


16.20 


9.93 


16.16 


10.00 


19 


20 
21 


17.14 


10.30 


17.10 


10.38 


17.05 


10.45 


17.01 


10.52 


20 


18.00 


10.82 


17.95 


10.89 


17.91 


10.97 


17.86 


11.05 


21 


22 


18.86 


11.33 


18.81 


11.41 


18.76 


11.49 


18.71 


11.58 


22 


23 


19.71 


11.85 


19.66 


11.93 


19.61 


12.02 


19.56 


12.10 


23 


24 


20.57 


12.36 


20.52 


12.45 


20.46 


12.54 


20.41 


12.63 


24 


25 


21.43 


12.88 


21.37 


12.97 


21.32 


13.06 


21.26 


13.16 


25 


26 


22.29 


13.39 


22.23 


13.49 


22.17 


13.58 


22.11 


13.68 


26 


27 


23.14 


13.91 


23.08 


14.01 


23.02 


14.11 


22.96 


14.21 


27 


28 


24.00 


14.42 


23.94 


14.53 


23.87 


14.63 


23.81 


14.73 


28 


29 


24.86 


14.94 


24.79 


15.04 


24.73 


15.15 


24.66 


15.26 


29 


30 


25.71 


15.45 


25.65 


15.56 


25.58 


15.67 


25.51 


15.79 


30 


31 


26.57 


15.97 


26.. 50 


16.08 


26.43 


16.20 


26.36 


16.31 


31 


32 


27.43 


16.48 


27.36 


16.60 


27.28 


16.72 


27.21 


16.84 


32 


33 


28.29 


17.00 


28.21 


17.12 


28.14 


17.24 


28.06 


17.37 


33 


34 


29.14 


17.51 


29.07 


17.64 


28.99 


17.76 


28.91 


17.89 


34 


35 


30.00 


18.03 


29.92 


18.16 


29.84 


18.29 


29.76 


18.42 


35 


36 


30.86 


18.54 


30.78 


18.68 


30.70 


18.81 


30.61 


18.94 


36 


37 


31.72 


19.06 


31.63 


19.19 


31.55 


19.33 


31.46 


19.47 


37 


38 


32.57 


19.57 


32.49 


19.71 


32.40 


19.85 


32.31 


20.00 


38 


39 


33.43 


20.09 


33.34 


20.23 


33.25 


20.38 


33.16 


20.52 


39 


40 


34.29 


20.60 


34.20 


20.75 


34.11 


20.90 


34.01 


21.05 


40 


41 


35.14 


21.12 


35.05 


21.27 


34.96 


21.42 


34.86 


21.57 


41 


42 


36.00 


21.63 


35.91 


21.79 


35.81 


21.94 


35.71 


22.10 


42 


43 


36.86 


22.15 


36.76 


22.31 


36.66 


22.47 


36.57 


22.63 


43 


44 


37.72 


22.66 


37.62 


22.83 


37.52 


22.99 


37.42 


23.15 


44 


45 


38.57 


23.18 


38.47 


23.. 34 


38.37 


23.51 


38.27 


23.68 


45 


46 


39.43 


23.69 


39.33 


23.86 


39.22 


24.03 


39.12 


24.21 


46 


47 


40.29 


24.21 


40.18 


24.38 


40.07 


24.56 


39.97 


24.73 


47 


48 


41.14 


24.72 


41.04 


24.90 


40.93 


25.08 


40.82 


25.26 


48 


49 


42.00 


25.24 


41.89 


25.42 


41.78 


25.60 


41.67 


25.78 


49 


50 


42.86 


25.75 


42.75 


25.94 


42.63 


26.12 


42.52 


26.31 


50 


5 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


s 

c 

.2 
P 


59 


Deg. 


58| Deg. 


58^ Deg. 


581 Deg. 



TB AVERSE TABLE. 



66 



"51 


31 Deg. 


3U Deg. 


311 Deg. 


31J Deg. 


O 
% 

S 
n 
a 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


43.72 


26.27 


43.60 


26.46 


43.48 


26.65 


43.37 


26.84 


52 


44.57 


26.78 


44.46 


26.98 


44.34 


27.17 


44.22 


27.36 


52 


53 


45.43 


27.30 


45.31 


27.49 


45.19 


27.69 


45.07 


27.89 


53 


54 


46.29 


27.81 


46.17 


28.01 


46.04 


28.21 


45.92 


28.42 


54 


55 


47.14 


28.33' 


47.02 


28.53 


46.90 


28.74 


46.77 


28.94 


55 


56 


48.00 


28.84 


47.88 


29.05 


47 . 75 


29.26 


47.62 


29.47 


56 


57 


48.86 


29.36 1 


48.73 


29.57 


48.60 


29.78 


48.47 


29.99 


57 


58 


49.72 


29.871 


49.58 


30.09 


49.45 


.30.30 


49.32 


30.52 


58 


59 


50.57 


30.39 1 


50.44 


30.61 


50.31 


30.83 


.50.17 


31.05 


59 


JO 
61 


51.43 


30.90 j 


51.29 


31.13 


51.16 


31.35 


51.02 


31.57 


60 
61 


52.29 


31.42 1 


52.15 


31.65 


52.01 


31.87 


51.87 


32.10 


62 


53.14 


31.93i 


53.00 


32.16 


.52.86 


32.39 


52.72 


32.63 


62 


63 


54.00 


32.45 1 


53.86 


32.68 


53.72 


32.92 


53.57 


33.15 


63 


64 


54.86 32.96' 


54.71 


.33.20 


54.57 


33.44 


54.42 


33.68 


64 


65 


55.72 133.48 


55.57 


33.72 


55.42 


33.96 


55.27 


34.20 


65 


66 


56.57 i 33.99 


56.42 


34.24 


56.27 


34.48 


56.12 


34.73 


66 


67 


57.43 34.51 ! 


57.28 


34.76 


57.13 


35.01 


56.98 


35.26 


67 


68 


58.29 ,35.02 1 


58.13 


35.28 


57.98 


35.53 


57.82 


35.78 


68 


69 


59. 14! 35.54 1 


58.99 


35.80 


58.83 


36.05 


58.67 


36.31 


69 


70 
71 


60.00 1 36.05 i 


59.84 


36.31 


59.68 


36.57 


59.52 


36.83 
37.36 


70 

71 


60.86 1 36.57: 


60.70 


36.83 


60.54 


37.10 


60.37 


72 


61.72 


37.08 


61.55 


37.35 


61.39 


37.62 1 


61.23 


37.89 


72 


73 


62.57 


37.60. 


62.41 


37.87 


62.24 


38.14 


62.08 


38.41 


73 


74 


63.43 


38.11 


63.26 


38.39 


63.10 


38.66 


62.93 


38.94 


74 


75 


64.29 


38.63 


64.12 


38.91 


63.95 


39.19 


63.78 


39.47 


75 


76 


65.14 


39.14 


64.97 


39.43 


64.80 


39.71 


64.63 


39.99 


76 


77 


66.00 


39.66 


65.83 


39.95 


65.65 


40.23 


65.48 


40.52 


77 


78 


66.86 


40.17 


66.68 


40.46 


66.51 


40.75 


66.33 


41.04 


78 


79 


67.72 


40.69 


67.54 


40.98 


67.36 


41.28 


67.18 


41.57 


79 


80 
81 


68.. 57 


41.20 


68.39 


41.50 


68.21 


41.80 


58.03 


42.10 


80 
81 


69.43 


41.72 


69.25 


42.02 


69.06 


42.32 


68.88 


42.62 


82 


70.29 


42.23 


70.10 


42.54 


69.92 


42.84 


69.73 


43.15 


82 


•83 


71.14 


42.75 


70.96 


43.06 


70.77 


43.37 


70.58 


43.68 


83 


84 


72.00 


43.26 


71.81 


43.58 


71.62 


43.89 


71.43 


44.20 


84 


85 


72.86 


43.78 


72.67 


44.10 


72.47 


44.41 


72.28 


44.73 


85 


86 


73.72 


44.29 


73.52 


44.61 


73.33 


44.93 


73.13 


45.25 


86 


87 


74.57 


44.81 


74.38 


45.13 


74.18 


45.46 


73.98 


45.78 


87 


1 »^ 


75.43 


45.32 


75.23 


45.65 


75.03 


45.98 


74.83 


46.31 


88 


89 


76.29 


45.84 


76.09 


46.17 


75.88 


46.50 


75.68 


46.83 


89 


90 
91 


77.15 


46.35 


76.94 


46.69 


76.74 


47.02 


76.. 53 


47.36 


90 
91 


78.00 


46.87 


77.80 


47.21 


77.59 


47.55 


77.38 


47.89 


92 


78.86 


47.38 


78.65 


47.73 


78.44 


48.07 


78.23 


48.41 


92 


93 


79.72 


47.90 


79.51 


48.25 


79.30 


48.59 


79.08 


48.94 


93 


94 


80.. 57 


48.41 


80.36 


48.76 


80.15 


49.11 


79.93 


49.47 


94 


9ft 


81.43 


48.93 


81.22 


49.28 


81.00 


49.64 


80.78 


49.99 


95 


96 


82.29 


49.44 


82.07 


49.80 


81.85 


50.16 


81.63 


50.52 


96 


97 


83.15 


49.96 


82.93 


50., 32 


82.71 


50.68 


82.48 


51.04 


97 


98 


84.00 150.47 


83.78 


50.84 


83.56 


51.20 


83.33 


51.57 


98 


99 


84.86 '50.99 


84.64 


51.36 


84.41 


51.73 


84.18 


52.10 


99 


100 


85.72 


51.50 


85.49 


51.88 


85.26 


52.25 


85.04 


,52.62 


100 

g 
1 

Q 


1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


59 Deg. 


58i Deg. 


581 Deg. 


58i Deg. 


1 





















66 



TBAVERSE TA^LE. 



f 


32 Deg. 


32i 

j 


Deg. 


! 

32^ Deg. 


! 

321 Deg. 




Lat. 


Dep. 


1 Lat. 


Dep. 


Lat. 


Dep. 


1 Lat. Dep. 


1 


0.85 


0.53 0.85 


0.53 


0.84 


0.54 0.84! 0.54 


1 


2 


1.70 


1.06 1.69 


1.07 


1.69 1.07 1.68 1.08 


2 


3 


2.54 


1.59 2.54 


1.60 


2.53 1.61 2.52 1.62 


3 


4 


3.39 


2.12 


3.38 


2.13 


; 3.37 2.15 3.36' 2.16 


4 


5 


4.24 


2.65 


4.23 


2.67 


i 4.22 ! 2.69 4.21 ' 2.70 


5 


6 


5.09 


3.18 


6.07 


3.20 


! 5.06 ! 3.22 ,1 5.05 i 3.25 


6 


7 


5.94 


3.71 


5.92 


3.74 


1 5.90 i 3.76 ;. 5.89 


3.79 


7 


8 


6.78 


4.24; 6.77 


4.27 


6.75 ! 4.30 il 6.73 


4.33 


8 


9 


7.63 


4.77 i 7.61 


4.80 


7.59 


4.84! 7.57 


I 4.87 


9 


10 


8.48 


5.30 1 8.46 


5.34 


8.43 


5.37 8.41 1 5.41 


10 


11 


9.33 


5.83, 9.30 


5.87 


9.28 


5.91 9.25 5.95 


11 


12 


10.18 


6.36 10.15 


6.40 


! 10.12 


6.45 10.09 6.49 


12 


13 


11.02 


6.89 10.99 


6.94 


■ 10.96 


6.98 10.93 1 7.03 


13 


14 


11.87 


7.42 11.84 


7.47 


! 11.81 ; 7.52 11.77 1 7.57 


14 


15 


12.72 


7.95 12.69 


8.00 


; 12.65 i 8.06 , 12.62! 8.11 


15 


16 


13.57 


8.48 i 13.53 


8.54 


1 13.49 1 8.60 13.46 8.66 
'14..34 9.13 14.30 9.20 


16 


17 


14.42 


9.01 1 14.38 


9.07 


17 


18 


15.26 


9.54 15.22 


9.61 


'15.18 9.67 15.14 9.74 


IS 


19 


16.11110.07 16.07 


10.14 


16.02 1 10.21 15.98 10. 2S 


19 


20 16.96! 10.60 16.91 


10.67 


16.87 1 10.75 


16.82 
17.66 


10.82 


20 


21 17.81 


11.13 17,76 


11.21 


17.71 


11.28 


11.36 


21 


22 18.66 


11.66 ! 18.61 1 11.74 


18.55 


11.82 18.50! 11.90 


OO 


23 1 19.51 


12.19 19.45 


12.27 


19.40 


12.36 19.34 12.44 


2.3 


24 120.35 : 12.72 20.30 


12.81 , 


20.24 


12.90 ,20.18 ' 12. 9S 


2 4 


25 121.20 ' 13.25 21.14 


13.34' 


21.08 


13.43 


21.03 13.52 


25 


26 i 22.05 i 13.78 21.99 


13.87 


21.93 , 13.97 


21.87 14.07 


26 


27:22.90 114.31 22.83 


14.41 


22.77 14.51 


22.71 14.61 


27 


28 23.75 ! 14.84 23. 6S 


14.94 


23.61 ^ 15.04 


23.55 ' 15.15 


2S 


29 24.59 15.37 24.53 


15.47 


24.46 , 15.58 


24.39 15.69 


29 


30 25.44! 15.90 25.37 


16.01 


25.30 1 16.12 
26.15 i 16.66 


25.23 
26.07 


16.23 


30 


31 26.29 16.43 26.22 , 


16.54 


16.77 


31 


32:27.14 16.96 27.06, 


17.03 


26.99 1 17.19 


26.91 


17.31 


32 


33 27.99 17.49 27.91, 


17.61 


27.83 i 17.73 


27.75 


17.85 


33 


34 2S.S3 18.02 28.75: 


18.14 


28.68 i 18.27 


28.60 


18.39 


34 


35 29. 6S 18.55 29.60 


18.68 ' 


29.52 


18.81 


29.44 


18.93 


35 


36 30.53 19.08 30.45 


19.21 


30.36 


19.34 


30.28 


19. 4S 


36 


37 31.38 19.61 31.29 


19.74 1 


31.21 


19.88 


31.12 i 20.02 


37 


38 32.23 i 20.14 32.14 


20.28 


32.05 


20.42 1 


31.96 20.56 


33 


39 33.07 20.67 32. 9S 


20. SI 


32.89 120.95 


32.80 121.10 


39 


40 33.92 21.20 


33. S3 
34.67 


21.34 

21. SS 


33.74 21.49 , 
34. 5S 22.03 


33.64' 21.64 
34.48 j22.lS 


40 
41 


41 34.77 21.73 


42 35.62 22.26 35.52 


22.41 


35.42 22.57 | 


35.32 122.72 


42 


43 36.47 22.79 36.37 


22.95 


36.27 (23.10 : 


36.16 23.26 


43 


44 37.31 23.32 37.21: 


23.48 


37.11 '23.64^ 


37.01 


23 . 80 


44 


45 3S.16 23.85 39.06 


24.01 


37.95 24.18 


37.85 


24.34 


45 


46 39.01 24.38 38.90 


24.55 


33.80 24.72 ; 


38.69 


24.83 


46 


47,39.86 24.91 39.75 


25.08 


39.64 25.25 


39.53 


25.43 


47 


48 40.71 25.44 40.59 


25.61 


40.48 25.79 


40.37 


25.97 


43 


49 41.55 25.97 41.44 


26.15 


41.33 ,26.33 


41.21 


26.51 


49 


50 42.40 26.50 42.29 


26.68 


42.17 26.86 i 


42.05 


27.05 


50 >) 


5 1 Dep. Lat. Dep. 


Lat. 

3eg. 


Dep. Lat. ' 

i 


Dep. 


Lat 


5 


11 


53 1 


)eg. 


5T|] 


57^ Deg. 


57i Deg. 



TRAVERSE TABLK. 



67 



5 

£' 
p 

9 
o 
a 

~51 


32 Deg. 


32i Deg. 


32i Deg. 


32J Deg. 



~5l 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 
43.01 


Dep. 1 

27.40 


Lat. 


Dep. 


43.25 


27.03 


43.13 


27.21 


42.89 


27.59 


52 


44.10 


27.56 j 


43.98 


27.75 


43.86 


27.94 


43.73 


28.13 


52 


53 


44.95 


28.09 1 


44.82 


28.28 


44.70 


28.48 1 


44.58 


28.67 


53 


54 


45.79 


28.62! 


45.67 


28.82 


45.54 


29.01 


45.42 


29.21 


64 


55 


46.64 


29.15 ; 


46.51 


29.35 


46.39 


29.55 


46.26 


29.75 


55 


56 


47.49 


29.68 1 


47.36 


29.88 


47.23 


30.09 


47.10 


30.29 


56 


57 


48.34 


30.21 1 


48.21 


30.42 


48.07 


30.63 


47.94 


30.84 


57 


58 


49.19 


30.74 


49.05 


30.95 


48.92 


31.16 


48.78 


31.38 


58 


59 


50.03 31.27 


49.90 


31.48 


49.76 


31.70 


49.62 


31.92 


59 


60 
61 


.50.88 


31.80 ! 


50.74 


32.02 


.50.60 


32.24! 


50.46 


32.46 


60 
61 


51.73 


32.33 j 


51.59 


32.55 


51.45 


32.78 


51.30 


33.00 


62 


52.58 


32.85 1 


52.44 


33.08 


52.29 


33.31 


52.14 


33.54 


62 


63 


53.43 


33.38 


53.28 


33.62 


53.13 


33.85 


52.99 


34.08 


63 


64 


54.28 


33.91 1 


54.13 


34.15 


.53.98 


34.39 


53.83 


34.62 


64 


65 


55.12 


34.44' 


54.97 


34.68 


54.82 


34.92 


54.67 


35.16 


65 


66 


55.97 


34.97 


55.82 


35.22 


55.66 


35.46 


55.51 


35.70 


66 


67 


56.82 


35.50 


56.66 


35.75 


56.51 


36.00 


56.35 


36.25 


67 


68 


57.67 136.03 


57.51 


36.29 


57.35 


36.54 


57.19 


36.79 


68 


69 


58.52 I 36.66 


58.36 


36.82 


58.19 


37.07 


58.03 


37.33 


69 


70 
71 


59.36 


37.09 r 
37.62 


59.20 


37.35 


59.04 


37.61 


58.87 
59.71 


37.87 


70 
71 


60.21 


60.05 


37.89 


59.88 


38.15 


38.41 


72 


61.06 138.15 


60.89 


38.42 


60.72 


38.69 


60.55 


38.95 


72 


73 


61.91 138.68 


61.74 


38.95 


61.57 


39.22 


61.40 


39.49 


73 


74 


62.76 139.21 , 


62.58 


39.49 


62.41 


39.76 


62.24 


40.03 


74 


to 


63.60 139.74 1 


63.43 


40.02 


63.25 


40.30 


163.08 


40.57 


75 


,6 


64.45 140.27 1 


64.28 


40.55 


64.10 


40.83 


! 63.92 


41.11 


76 


77 


65.30 


40.80! 


65.12 


41.09 


64.94 


41.37 


1 64.76 


41.65 


77 


78 


66.15 


41.33 1 


65.97 


41.62 


65.78 


41.91 


65.60 


42.20 


78 


79 


67.00 


41.S6J 


66.81 


42.16 


66.63 


42.45 


166.44 


42.74 


79 


80 
81 


67.84 


42.39 


67.66 


42.69 


67.47 


42.98 


167.28 


43.28 


80 
81 


68.69 


42.92! 


68.50 


43.22 


68.31 


43.52 


68.12 


43.82 


82 


69.54 


43.45 i 


69.35 


43.76 


69.16 


44.06 


68.97 


44.36 


82 


83 


70.39 


43.98; 


70.20 


44.29 


70.00 


44.60 


69.81 


44.90 


83 


84 


71.24 


44.51 j 


71.04 


44.82 


70.84 


45.13 


70.65 


45.44 


84 


85 


72.08 


45.04! 


71.89 


45.36 


71.69 


45.67 


171.49 


45.98 


85 


86 


72.93 


45.57 


72.73 


45.89 


72.53 


46.21 


172.33 


46.52 


86 


87 


73.78 


46.10 


73.. 58 


46.42 


73.38 


46.75 


173.17 


47.06 


87 


88 


74.63 


46.63 


74.42 


46.96 


74.22 


47.28 


i 74.01 


47.61 


88 


89 


75.48 


47.16 


75.27 


47.49 


75.06 


47.82 


74.85 


48.15 


89 


90 
91 


76.32 


47.69 1 


76.12 


48.03 


75.91 


48.36 


; 75.69 


48.69 


90 
91 


77.17 |48.22| 


76.96 


48.56 


76.75 


48.89 


76.53 


49.23 


92 


78.02 


48.75 


77.81 


49.09 


77.59 


49.43 


77.38 


49 77 


92 


93 


78.87 


49.28 


78,65 


49.63 


78.44 


49.97 


78.22 


50.31 


93 


94 


79.72 


49.81 


79.50 


50.16 


79.28 


50.51 


j 79.06 


50.85 


94 


95 


80.56 150.34 


80.34 


.50.69 


80.12 


51.04 


79.90 


51.39 


95 


96 


81.41 150.87 


81.19 


51.23 


80.97 


51.58 


80.74 


51.93 


96 


97 


82.26 51.40 
83.11 51.93 


82.04 


51.76 


81.81 


52.12 


81.58 


52.47 


97 


98 


82.88 


52.29 


82.65 


52.66 


82.42 


53.02 


98 


99 


83.96 1 52.46 


83.73 


52.83 


83.50 


53.19 


83.26 


53.56 


99 


100 

i 

a3 


84.80 152.99 


84.57 


53.36 
Lat. 


84.34 


53.73 


84.10 


54.10 


100 

1 


Dep. 


Lat. 


Dep. 


Dep. 


Lat. 


Dep. 


Lat. 


58 Deg. 


57| Deg. 


57i Deg. 


57i Deg. 












H 











68 



TRAVERSE TABLE. 





33] 


Deg. 1 33i Deg. j| 33^ Deg. i 33^ Deg. 




Lat, 


Dep. ] Lat. 


Dep. Lat. ] 


Dep. Lat. Dep. 


0.84 


0.54 : 0.84 


0.55 ' 0.83! 


0.55 0.83 ; 0.56 1 1 


2 


1.68 


1.09 1.67 


1.10 i.67i 


1.10 1.66 , 1.11 ' 2 


3 


2.52 


1.63 2.51 


1.64 2.50 1 


1.66 2.49 1.67 , 3 


4i 3.35 


2. IS 3.35 j 2.19 3.34 


2.21 3.33 ' 2.22 i 4 


5 


4.19 


2.72 4.13 ! 2.74 4.17 


2.76 4.16 2.78! 5 


6 


5.03 


3.27 5.02 1 3.29 5.00 


3.31 


4.99 3.33 6 


/ 


0.87 


3.81 5.85 ! 3.S4 5.84 


3.86 


5.82 3.89 7 


8 


6.71 


4.36 6.69, 4.39 6.67 


4.42 


6.65 4.44 8 


9 


7.55 


4.90 7.53 1 4.93 7.50 


4.97 


7.48 5.00 9 


10 


8.39 


5.45 8.30 : 5.48 8.34 


5.52 


8.31 5. .56 10 
9.15 6.11 11 


11 


9.23 


5.99 ' 9.20 i 6.03 : 9.17 


6.07 


12 


10.06 


6.54 10.04 


6.58 1 10.01 


6.62 


9.98 6.67 12 


13 


10.90 


7.08 10.87 


7.13 10.84 


7.18 


10.81 7.22 13 


U 1 11.74 


7.62 11.71 


7.68 ': 11.67 


7.73 


11.64 7.78 14 


15 [12.58 


8.17 12.54 


8.22 ! 12.51 


8.28 


'12.47 8.33 15 


16 ! 13.42 


8.71 13.38 


8.77 : 13.34 


8.83 


13.30! 8.89 16 


17 


14.26 


9.26 14.22 


9.32 ! 14.18 


9.38 


14.13; 9.44 17 


18 


15.10 


9.80 15.05 


9.87 : 15.01 


9.93 


14.97 10.00 IS 


19 


15.93 


10.35 15.89 


10.42 ! 15.84 


10.49 


15.80 10.56 19 


20 1 16.77 


10.89 16.73 ! 10.97 '' 16.68 
11.44 17.56 111.51:17.51 


11.04 
11.59 


16.63 11.11 20 


21 


17,61 


17.46 11.67 21 


22 


18.45 


11.98 18.40 


12.06 


18.35 


12.14 


18.29 12.22 1 22 


23 


19.29 


12.53 19.23 


12.61 


19.18 


12.69 


19.12 12.73 : 23 


24 


20.13 


13.07 T 20.07 


13.16 


20.01 


13.25 


19.96 13.33 1 24 


25 120.97 


13.62 1 20.91 


13.71 


20.85 


13.80 


20.79 13.89 : 25 


26|21.S1 


14.16 '21.74 1 14.26 


21.63 


14.35 


21.62; 14.44 26 


27 22.64 


14.71 ' 22.58 14.80 1,22.51 


14.90 


22.45' 15.00 27 


28 23.48 


15.25 23.42 1 15.35 23.35 


15.45 


23.28 15.56 j 2S 


29 ! 24.32 


15.79 ' 24.25 ' 15.90 24.18 


16.01 


24.11 16.11 29 


30 1 25.16 

31 26.00 


16.34 25.09 16.45 25.02 
16. 8S 25.92 17.00 25. S5 


16.56 
17.11 


24.94 16.67 ' 30 


25.73 17.22 31 


32 26. S4 


17.43 26.76 17.55 26. 6S 


17.66 


26.61 17. 7S 32 


33 27.68 


17.97 27.60 18.09 ' 27.52 


18.21 


27.44 18.33 ' 33 


34 2S.51 


IS. 52 : 28.43 18.64 2S.35 


18.77 


28.27 13.89 34 


35 29.35 


19.06 j 29.27 19.19 29.19 


19.32 


29.10 19.44 35 


36 30.19 


19.61 i 30.11 19.74 30.02 


19.87 


29.93 20.00 36 


37 \ 31.03 


20.15 1 30.94 20.29 -30.85 


20.42 


30.76 20.56 37 


38 i 31.87 


20.70 : 31.78 20.84 31.69 


20.97 


31.60 21.11 38 


39 1 32.71 


21.24 ; 32.62 21.3S 32.52 


21.53 


32.43 21.67 39 


40 


33.55 


21.79 33.45 21.93 


33.36 
34". 19 


22. OS 
22 . 63 


33.26 22.22 40 
34.09 22. 7S 41 


41 


31.39 


22.33 34.29 22. 4S 


42 35.22 


22.87 35.12 23.03 35.02 


23. IS 


34.92 23.33 42 


43 • 36.06 


23.42 35.90 23. 5S 35.86 


23 . 73 


35.75 23.89 43 


44 36.90 


23.96 36.80 24.12 36.69 


24.29 


36.58 24.45 44 


45 ■ 37.74 


24.51 37.63 24.67 37.52 


24. S4 


37.42 25.00 45 


46 1 3S.58 


25.05 i 3S.47 25.22 38.36 


25.39 


38.25 '25.56 46 


47 1 39.42 


25.60 39.31 25.77 39.19 


25 . 94 


39.03 26.11 47 


48 ; 40.26 


26.14 40.14 26.32 40.03 


26.49 


39.91 26.67 4S 


49 ! 41.09 


26.69 40.98 26.87 40.86 


27.04 


40.74 27.22 49 


50 41.93 


27.23 41.81 


27.41 41.69 


27.60 
Lat. 


41.57 27.78 50 


g 

c 

B 

.2 


Dep. 


Lat. J Dep. 


Lat- 


Dep. 


Dep. 


Lat. 




57] 


Deg. I 56i Deg. 


56ii Deg. 


56k Deg. 


1 s 

1 i2 



TRAVKK9E TABLE. 



69 



"51 


33Deg. 


33i Deg. 


2^Deg. 


33i Deg. 


O 
1' 

9 

n 

a 

~51 




Lat. 


Dep. 


Lat. 


Dep. 
27.96 


Lat. 


Dep 

28.ili 


Lat. 


Dep. 




42.77 


27.78 


42.65 


42.53 


42.40 


28.33 




52 


43.61 


28.32 


43.49 


28.51 


43.36 


28.70 


43.24 


28.89 


52 




53 


44.45 


28.87 


44.32 


29.06 


44.20 


29.25 


44.07 


29.46 


53 




54 


45.29 


29.41 


45.16 


29.61 


45.03 


29.80 


44.90 


30.00 


64 




55 


46.13 


29.96 


46.00 


30.16 


45.86 


30.36 


45.73 


30.56 


65 




56 


46.97 


30.. 50 


46.83 


30.70 


46.70 


30.91 


46.56 


31.11 


56 




57 


47.80 


31.04 


47.67 


31.25 


47.53 


31.46 


47.39 


31.67 


57 




58 


48.64 


31.59 


48.50 


31.80 


48.37 


32.01 


48.23 


32.22 


58 




59 49.48 1 


32.13 


49.34 


32.35 


49.20 


32.56 


49.06 


32.78 


59 




60 
61 


50.32 


32.68 


50.18 


32.90 


50.03 


33.12 


49.89 


33.33 


60 




51.16 


33.22 


51.01 


33.45 


50.87 


33.67 


50.72 


33.89 


61 




62 


52.00 


33.77 


61.85 


33.99 


51.70 


34.22 


51.55 


34.45 


62 




63 


52.84 


34.31 


52.69 


34.54 


52.53 


34.77 


52.38 


35.00 


63 




64 


53.67 


34.86 


53.52 


35.09 


53.37 


35.32 


53.21 


36.66 


64 




65 


54.51 


35.40 


54.36 


.35.64 


54.20 


35.88 


64.05 


36.11 


66 




66 


55.35 


35.95 


55.19 


36.19 


55.04 


36.43 


54.88 


36.67 


66 




67 


56.19 


36.49 


56.03 


36.74 


55.87 


36.98 


55.71 


37.22 


67 




68 


57.03 


37.04 


56.87 


37.28 


56.70 


37.53 


56.54 


37.78 


68 




69 


57.87 


37.58 


57.70 


37.83 


57.54 


38.08 


57.37 


38.33 


69 




70 

71 


58.71 


38.12 


.58.54 


38.38 


58.37 


38.64 


68.20 


38.89 


70 




59.55 


38.67 


59.38 


38.93 


59.21 


39.19 


.59.03 


39.45 


71 




72 


60.38 


39.21 


60.21 


39.48 


60.04 


39.74 


59.87 


40.00 


72 




73 


61.22 


39.76 


61.05 


40.03 


60.87 


40.29 


60.70 


40.66 


73 




74 


62.06 


40.30 


61.89 


40.57 


61.71 


40.84 


61.53 


41.11 


74 




75 


62.90 


40.85 


62.72 


41.12 


62.. 54 


41.40 


62.36 


41.67 


76 




76 


63.74 


41.39 


63.56 


41.67 


63.38 


41.95 


63.19 


42.22 


76 




77 


64.58 


41.94 


64.39 


42.22 


64.21 


42.. 50 


64.02 


42.78 


77 




78 


65.42 


42.48 


65.23 


42.77 


65.04 


43.05 


64.85 


43.33 


78 




79 


66.25 


43.03 


66.07 


43.32 


65.88 


43.60 


65.69 


43.89 


79 




80 
81 


67.09 
67.93 


43.57 


66.90 


43.86 


66.71 


44.15 


66.52 


44.45 


80 

81 




44.12 


67.74 


44.41 


67.54 


44.71 


67.35 


45.00 




82 


68.77 


44.66 


68.58 


44.96 


68.38 


45.26 


68.18 


45.56 


82 




83 


69.61 


45.20 


69.41 


45.51 


69.21 


45.81 


69.01 


46.11 


83 




84 


70.45 


45.75 


70.25 


46.06 


70.05 


46.36 


69.84 


46.67 


84 




85 


71.29 


46.29 


71.08 


46.60 


70.88 


46.91 


70.67 147.22 


86 




86 


72.13 


46.84 


71.92 


47.15 


71.71 


47.47 


71.61 


47.78 


86 




87 


72.96 


47.38 


72.76 


47.70 


72.55 


48.02 


72.34 


48.33 


87 




88 


73.80 


47.93 


73.59 


48.25 


73.38 


48.57 


73.17 


48.89 


88 




89 


74.64 


48.47 


74.43 


48.80 


74.22 


49.12 


74.00 


49.45 


89 




90 
91 


75.48 


49.02 


75.27 


49.35 


75.05 


49.67 


74.83 


.50.00 


90 




76.32 


49.56 


76.10 


49.89 


75.88 


50.23 


75.66 


50.66 


91 




92 


77.16 


.50.11 


76.94 


.50.44 


76.72 


60.78 


76.60 


61.11 


92 




93 


78.00 


50.65 


77.77 


50.99 


77.55 


61.33 


77.33 


61.67 


93 




94 


78.83 


51.20 


78.61 


51.54 


78.39 


61.88 


78.16 


62.22 


94 




95 


79.67 


51.74 


79.45 


52.09 


79.22 


62.43 


78.99 


52.78 


95 




96 


80.51 


52.29 


80.28 


52.64 


80.05 


62.99 


79.82 


53.33 


96 




97 


81.35 


52.83 


81.12 


53.18 


80.89 


63.54 


80.65 


63.89 


97 




98 


82.19 


53.37 


81.96 


53.73 


81.72 


64.09 


81.48 


64.45 


98 




99 


83.03 


.53.92 


82.79 


54.28 


82.55 


64.64 


82.32 


56.00 


99 




100 

a 

5 


83.87 


54.46 


83.63 


.54.83 


83.39 


65.19 


183.16 


55.66 


100 

U 

c 

- rt 
to 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




57 Deg. 


56| Dog. 


56^ Deg. 


56i Deg. 





10 



TRAVERSE TABLE. 



s 
o 
p 


34Deg. 


34i Deg. 


3^ 


Deg. 


34| Deg. 


3 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 

"o.W 


Dep. 


Lat. 


Dep. 


1 


0.83 


0.56 


0.83 


0.56 


0.67 


0.82 


0.57 


1 


2 


1.66 


1.12 


1.65 


1.13 


1.65 


1.13 


1.64 


1,14 


2 


3 


2.49 


1.68 


2.48 


1.69 


2.47 


1.70 


2.46 


1,71 


3 


4 


3.32 


2.24 


3.31 


2.25 


3.30 


2.27 


3.29 


2.28 


4 


5 


4.15 


2.80 


4.13 


2.81 


4.12 


2.83 


4.11 


2.85 


5 


6 


4.97 


3.36 


4.96 


3.38 


4.94 


3.40 


4.93 


3.42 


6 


7 


5.80 


3.91 


5.79 


3.94 


5.77 


3.96 


5.75 


3.99 


7 


8 


6.63 


4.47 


6.61 


4.50 


6.59 


4.53 


6.57 


4.56 


ft 


9 


7.46 


5.03 


7.44 


5.07 


7.42 


5.10 


7.39 


5.13 


9 


10 


8.29 


5.59 


8.27 


5.63 


8.24 


5.66 


8.22 


5.70 


10 


11 


9.12 


6.15 


9.09 


6.19 


9.07 


6.23 


9.04 


6.27 


11 


12 


9.95 


6.71 


9.92 


6.75 


9.89 


6.80 


9.86 


6.84 


12 


13 


10.78 


7.27 


10.75 


7.32 


10.71 


7.36 


10.68 


7.41 


13 


14 


11.61 


7.83 


11.57 


7.88 


11.54 


7.93 


11.50 


7.98 


14 


15 


12.44 


8.39 


12.40 


8.44 


12.36 


8.50 


12.32 


8.55 


15 


16 


13.26 


8.95 


13.23 


9.00 


13.19 


9.06 


13.15 


9.12 


16 


ir 


14.09 


9.51 


14.05 


9.57 


14.01 


9.63 


13.97 


9.69 


17 


18 


14.92 


10.07 


14.88 


10.13 


14.83 


10.20 


14.79 


10.26 


18 


19 


15.75 


10.62 


15.71 


10.69 


15.66 


10.76 


15.61 


10.83 


19 


20 


16.58 


11.18 


16.53 


11.26 
11.82 


16.48 


11.33 


16.43 


11.40 


20 


21 


17.41 


11.74 


17.36 


17.31 


11.89 


17.25 


11.97 


21 


22 


18.24 


12.. 30 


18.18 


12.38 


18.13 


12.46 


18.08 


12.54 


22 


23 


19.07 


12.86 


19.01 


12.94 


18.95 


13.03 


18.90 


13.11 


23 


24 


19.90 


13.42 


19.84 


13.51 


19.78 


13.59 


19.72 


13,68 


24 


25 


20,73 


13.98 


20.66 


14.07 


20.60 


14.]6| 


20.54 


14.25 


25 


26 


21.55 


14.54 


21.49 


14.63 


21.43 


14.73 i 


21.36 


14.82 


26 


27 


22.38 


15.10 


22.32 


15.20 


22.25 


15.29 


22.18 


15.39 


27 


28 


23.2] 


15 66 


23.14 


15.76 


23.08 


15.86 


23.01 


15.96 


28 


29 


24.04 


16.22 


23.97 


16.32 


23.90 


16.43! 


23.83 


16.53 


29 


30 


24.87 


16.78 


24.80 


16.88 


24.72 


16.99 1 


24.65 


17.10 


30 


31 


25.70 


17.33 


25.62 


17.45 


25.55 


17.56 


25.47 


17.67 


31 


32 


26.53 


17.89 


26.45 


18.01 


26.37 


18.12 


26.29 


18.24 


32 


33 


27.36 


18.45 


27.28 


18.57 


27.20 


18.69 


27.11 


18.81 


33 


34 


28.19 


19.01 


28.10 


19.14 


28.02 


19.26 


27.94 


19.38 


34 


35 


29.02 


19.57 


28.93 


19.70 


28.84 


19.82 


28.76 


19.95 


35 


36 


29.85 


20.13 


29.76 


20.26 


29.67 


20.39 


29.58 


20.52 


36 


37 


30.67 


20.69 


30.58 


20.82 


30.49 


20.96 


30.40 


21.09 


37 


38 


31.50 


21.25 


31.41 


21.39 


31.32 


21.52 


31.22 


21.66 


38 


39 


32.33 


21.81 


32.24 


21.95 


32.14 


22.09 


32.04 


22.23 


39 


40 


33.16 


22.37 


33.06 


22.51 


32.97 


22.06 


32.87 


22 . 80 


40 


41 


33.99 


22.93 


33.89 


23.07 


33.79 


23.22 


33.69 


23.37 


41 


42 


34.82 


23.49 


34.72 


23.64 


34.61 


23.79 


34.51 


23.94 


42 


43 


35.65 


24.05 


35.54 


24.20 


35.44 


24.36 


35.33 


24.51 


43 


44 


36.48 


24.60 


36.37 


24.70 


36.26 


24.92 


36.15 


25.08 


44 


45 


37.31 


25.16 


37.20 


25.33 


37.09 


25.49 


36.97 


25.65 


45 


46 


38.14 


25.72 


38.02 


25.89 


37.91 


26.05 


37.80 


26.22 


46 


47 


38.96 


26.28 


38.85 


26.45 


38.73 


26.62 


38.62 


26.79 


47 


48 


39.79 


26.84 


39.68 


27.01 


39.56 


27.19 


39.44 


27.36 


48 


49 


40.62 


27.40 


40.50 


27.58 


40.38 


27.75 


40.26 


27.93 


49 


50 

1 


41.45 


27.96 


41.33 


28.14 


41.21 


28.32 


41.08 


28.50 


50 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep, 


Lat. 


i 
5 


56 1 


)eg. 


551 Deg. 


55f ] 


Oeg. 


55i Deg. 



TRAVERSE TABLE. 



71 



s 
9 
51 


34Deg. 


34i Deg. 


34^ Deg. 


34J Deg. 


D 

P 

61 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 

41.90 


Dep. 


42.28 


28.52 


42.16 


28.70 


42.03 


28.89 


29.07 


52 


43.11 


29.08 


42.98 


29.27 


42.85 


29.45 


42.73 


29.64 


52 


53 


43.94 


29.64 


43.81 


29.83 


43.68 


.30.02 


43.55 


30.21 


53 


54 


44.77 


30.20 


44.64 


30.39 


44.. 50 


30.59 


44.37 


30.78 


54 


55 


45.60 


30.76 


45.46 


30.95 


45.. 33 


31.15 


45.19 


31.35 


55 


56 


46.43 


31.31 


46.29 


31.52 


46.15 


31.72 


46.01 


31.92 


66 


67 


47.26 


31.87 


47.12 


32.08 


46.98 


32.29 


46.83 


32.49 


57 


58 


48.08 


32.43 


47.94 


32.64 


47.80 


.32.85 


47.66 


33.06 


58 


59 


48.91 


32.99 


48.77 


33.21 


48.62 


33.42 


48.48 


33.63 


59 


60 

-6T 


49.74 


33.55 


49.60 


33.77 


49.45 


33.98 1 


49.30 


,34.20 


60 
61 


50.57 


34.11 


50.42 


34.33 


50.27 


34.55 


.50.12 


34.77 


62 


51.40 


34.67 


51.25 


34.89 


61.10 


35.12 


50.94 


35.34 


62 


63 


52.23 


35.23 


62.08 


35.46 


51.92 


35.68 


51.76 


35.91 


63 


64 


53.06 


35.79 


62.90 


36.02 


.52.74 


36.25 


52.59 


36.48 


64 


65 


53.89 


36.35 


53 . 73 


36.58 


53.57 


36.82 


.53.41 


37.05 


65 


66 


54.72 


36.91 


64.55 


37.15 


64.39 


37.38 


.54.23 


37.62 


66 


67 


55.65 


37.46 


56.38 


37.71 


66.22 


37.95 


55.05 


38.19 


67 


68 


56.37 


38.03 


66.21 


38.27 


56.04 


38.52 


55.87 


38.76 


68 


69 


57.20 


38.68 


57.03 


38.83 


66.86 


39.08 


56.69 


39.33 


69 


70 
71 


58.03 


39.14 


57.86 


39.40 


57.69 


39.65 


67.52 
58.34 


39.90 


70 
71 


58.86 


39.70 


58.69 


39.96 


58.51 


40.21 


40.47 


72 


59.69 


40.26 


59.51 


40.. 52 


59.34 


40.78 


59.16 


41.04 


72 


73 


60.52 


40.82 


60.34 


41.08 


60.16 


41,35! 


59.98 


41.61 


73 


74 


61.35 


41.38 


61.17 


41.65 


60,99 


41.91 


60.80 


42.18 


74 


75 


62.18 


41.94 


61.99 


42.21 


61.81 


42.48 


61.62 


42.75 


75 


76 


63.01 


42.50 


62.82 


42.77 


62.63 


43.05 


62.45 


43.32 


76 


77 


63.84 


43.06 


63.65 


43.34 


63.46 


43.61 


63.27 


43.89 


77 


78 


64.66 


43.62 


64.47 


43.90 


64.28 


44.18 


64.09 


44.46 


78 


79 


65.49 


44.18 


65.30 


44.46 


65.11 


44.75 


64.91 


45.03 


79 


80 
81 


66.32 


44.74 


66.13 


45.02 


65.93 


45.31 


65.73 


45.60 


80 
81 


67.15 


45.29 


66.96 


45.59 


66.75 


45.88 


66.55 


46.17 


82 


67.98 


45.85 


67.78 


46.15 


67.58 


46,45 


67.37 


46.74 


82 


83 


68.81 


46.41 


68.61 


46.71 


68.40 


47.01 


68.20 


47.31 


83 


84 


69.64 


46.97 


69.43 


47.28 


69.23 


47.58 


69.02 


47.88 


84 


85 


70.47 


47.53 


70.26 


47.84 


70.05 


48.14 


69.84 


48.45 


85 


86 


71.30 


48.09 


71.09 


48.40 


70.87 


48.71 


70.66 


49.02 


86 


87 


72.13 


48.65 


71.91 


48.96 


71.70 


49.28 


71.48 


49.59 


87 


88 


72.96 


49.21 


72.74 


49.53 


72.. 52 


49.84 


72.30 


50.16 


88 


89 


73.78 


49.77 


73.57 


50.09 


73.. 35 


50.41 


73.13 


50.73 


89 


90 
91 


74.61 


60.33 


74.39 


60.65 


74.17 


50.98 


73.95 


51.30 


90 
91 


75.44 


50.89 


75.22 


51.22 


75.00 


61.64 


74.77 


51.87 


92 


76.27 


61.46 


76.06 


61.78 


75.82 


62.11 


75.69 


52.44 


92 


93 


77.10 


52.00 


76.87 


52.34 


76.64 


52.68 


76.41 


53.01 


93 


94 


77.93 


62.66 


77.70 


52.90 


77.47 


63.24 


77.23 


63.68 


94 


95 


78.76 


63.12 


78.53 


63.47 


78.29 


63.81 


78.06 


54.15 


95 


96 


79.59 


63.68 


79.35 


64.03 


79.12 


64.37 


78.88 


54.72 


96 


97 


80.42 


64.24 


80.18 


64.59 


79.94 


64.94 


79.70 


55.29 


97 


98 


81.25 


54.80 


81.01 


.55.15 


80.76 


65.51 


80.52 


55.86 


98 


99 


82.07 


55.36 


81.83 


65.72 


81.59 


,56.07 


81. .34 


56.43 


99 


100 

6 

o 

■J} 

Q 


82.90 


55.92 


82.66 


56.28 


82.41 


56.64 


82.16 


57.00 


100 

S 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


56 Deg. 


551 Deg. 


55^ Deg. 


55i Deg. 



72 



TRAVERSE TABLE. 





35 Deg. 

1 


I 
35i Deg. 


35i Deg. 


35| Deg. 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.82 


0.57 


0.82 


0.58 


0.81 


0.58 


0.81 


0.68 


1 


2 


1.64 


1.15 


1.63 


1.15 


1.63 


1.16 


1.62 


1.17 


2 


3 


2.46 


1.72 


2.45 


1.73 


2.44 


1.74 


2.43 


1.75 


3 


4 


3.28 


2.29 


3.27 


2.31 


3.26 


2.32 


3.25 


2.34 


4 


5 


4.10 


2.87 


4.08 


2.89 


4.07 


2.90 


4.06 


2.92 


5 


6 


4.91 


3.44 


4.90 


3.46 


4.88 


3.48 


4.87 


3.51 


6 


7 


5.73 


4.01 


5.73 


4.04 


5.70 


4.06 


5.68 


4.09 


7 


8 


6.55 


4.59 


6.53 


4.62 


6.51 


4.65 


6.49 


4.67 


8 


9 


7.37 


5.16 


7.35 


5.19 


7.33 


5.23 


7.30 


5.26 


9 


10 
11 


8.19 


5.74 


8.17 


5.77 


8.14 


5.81 


8.12 


5.84 


10 


9.01 


6.31 


8.98 


6.35 


8.96 


6.39 


8.93 


6.43 


11 


12 


9.83 


6.88 


9.80 


6.93 


9.77 


6.97 


9.74 


7.01 


12 


13 


10.65 


7.46 


10.62 


7.50 


10.. 58 


7.55 


10.55 


7.60 


13 


14 


11.47 


8.03 


11.43 


8.08 


11.40 


8.13 


11.36 


8.18 


14 


15 


12.29 


8.60 


12.25 


8.66 


12.21 


8.71 


12.17 


8.76 


15 


16 


13.11 


9.18 


13.07 


9.23 


13.03 


9.29 


12.99 


9.35 


16 


17 


13.93 


9.75 


13.88 


9.81 


13.84 


9.87 


13.80 


9.93 


17 


18 


14.74 


10.32 


14.70 


10.39 


14.65 


10.45 


14.61 


10.52 


18 


19 


15.56 


10.90 


15.. 52 


10.97 


15.47 


11.03 


15.42 


11.10 


19 


20 
21 


16.38 


11.47 


16.33 


11.54 


16.28 


11.61 


16.23 


11.68 


20 


17.20 


12.05 


17.15 


12.12 


17.10 


12.19 


17.04 


12.27 


21 


22 


18.02 


12.62 


17.97 


12.70 


17.91 


12.78 


17.85 


12.85 


22 


23 


18.84 


13.19 


18.78 


13.27 


18.72 


13.36 


18.67 


13.44 


23 


24 


19.66 


13.77 


19.60 


13.85 


19.54 


13.94 


19.48 


14.02 


24 


25 


20.48 


14.34 


20.42 


14.43 


20.35 


14.52 


20.29 


14.61 


25 


26 


21.30 


14.91 


21.23 


15.01 


21.17 


15.10 


21.10 


15.19 


26 


27 


22.12 


15.49 


22.05 


15.58 


21.98 


15.68 


21.91 


15.77 


27 


28 


22.94 


16.06 


22.87 


16.16 


22.80 


16.26 


22.72 


16.36 


28 


29 


23.76 


16.63 


23.68 


16.74 


23.61 


16.84 


123.54 


16.94 


29 


30 


24.57 


17.21 


24.50 


17.31 


24.42 


17.42 


24.35 


17.53 


30 


31 


25.39 


17.78 


25.32 


17.89 


25.24 


18.00 


25.16 


18.11 


31 


32 


26.21 


18.35 


26.13 


18.47 


26.05 


18.58 


25.97 


18.70 


32 


33 


27.03 


18.93 


26.95 


19.05 


26.87 


19.16 


|26.78 


19.28 


33 


34 


27.85 


19.50 


27.77 


19.62 


27.68 


19.74 


127.59 


19.86 


34 
35 


35 


28.67 


20.08 


28.58 


20.20 


28.49 j 20.32 


128.41 


20.45 


36 


29.49 


20.65 


29.40 


20.78 


29.31 


20.91 


29.22 


21.03 


36 


37 


30.31 


21.22 


30.22 


21.35 


30.12 


21.49 


30.03 


21.62 


37 


38 


31.13 


21.80 


31.03 


21 .93 


30.94 


22.07 


30.84 


22.20 


38 


39 


31.95 


22.37 


31.85 


22.51 


31.75 


22.65 


31.65 


22.79 


39 


40 


32.77 


22.94 


32.67 


23.09 


32.56 


23.23 


32.46 


23.37 


40 
41 


41 


33.59 


23.52 


33.48 


23.66 


33.38 


23.81 


33.27 


23.95 


42 


34.40 


24.09 


34.30 


24.24 


34.19 


24.39 


34.09 


24.54 


42 


43 


35.22 


24.66 


35.12 


24.82 


35.01 


24.97 


34.90 


25.12 


43 


44 


36.04 


25.24 


35.93 


25.39 


35.82 


25.55 


35.71 


25.71 


44 


45 


36.86 


25.81 


36.75 


25.97 


36.64 


26.13 


36.52 


26.29 


45 


46 


37.68 


26.38 


37.57 


26.55 


37.45 


26.71 


37.33 


26.88 


46 


47 


38.50 


26.96 


38.38 


27.13 


38.26 


27.29 


38.14 


27.46 


47 


48 


39.32 


27.53 


39.20 


27.70 


39.08 


27.87 


38.96 


28.04 


48 


49 


40.14 


28.11 


40.02 


28.28 


39.89 


28.45 


39.77 


28.63 


49 


50 


40.96 


28.68 


40.83 


28.86 


40.71 


29.04 


40.58 
Dep. 


29.21 


50 


o 

1 

5 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Lat. 


6 
o 


55 


Deg. 


54i Deg. 


54^ Deg. 


54i Deg. 

1 



TRAVERSE TABLE. 



7.3 















1' 

s 

? 

51 


35 Deg. 


35i Deg. 


35i Deg. 


351 Deg. 


51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


41.78 


29.25 


41.65 


29.43 


41.52 


29.62 


41.39 


29.80 


52 


42.60 


29.83 


42.47 


30.01 


42.33 


30.20 


42.20 


30.38 


52 


53 


43.42 


30.40 


43.28 


30.59 


43.15 


30.78 


43.01 


30.97 


53 


54 


44.23 


30.97 


44.10 


31.17 


43,96 


31.36 


43.82 


31.55 


54 


55 


45.05 


31.55 


44.92 


31.74 


44.78 


31.94 


44.64 


32.13 


55 


56 


45.87 


32.12 


45.73 


32.32 


45.59 


32,52 


45.45 


32.72 


56 


57 


46.69 


32.69 


46.55 


32.90 


46.40 


33.10 


46.26 


33.30 


57 


58 


47.51 


33.27 


47.37 


33.47 


47.22 


33.68 


47.07 


33.89 


58 


59 


48.33 


33.84 


48.18 


34.05 


48.03 


34.26 


47.88 


34.47 


59 


60 
61 


49.15 


34,41 


49.00 
49.82 


34.63 


48.85 


34.84 


48.69 


35.05 


60 


49.97 


34.99 


35.21 


49.66 


35.42 


49.51 


35.64 


61 


62 


50.79 


35.56 


50.63 


35.78 


50.48 


36.00 


50.32 


36.22 


62 


63 


51.61 


36.14 


51.45 


36.36 


51.29 


36.58 


51.13 


36.81 


63 


64 


52.43 


36.71 


52.27 


36.94 


.52.10 


37.16 


51.94 


37.39 


64 


65 


53.24 


37.28 


53.08 


37.51 


52.92 


37.75 


52.75 


37.98 


65 


66 


54.06 


37.86 


53.90 


38.09 


53.73 


38.33 


53.56 


38.56 


66 


67 


54.88 


38.43 


54.71 


38.67 


54; 55 


38.91 


54.38 


39.14 


67 


68 


55.70 


39.00 


55.53 


39.^5 


55.36 


39.49 


55.19 


39.73 


68 


69 


56.52 


39.58 


56.35 


39.82 


56.17 


40.07 


56.00 


40.31 


69 


70 

71 


57.34 


40.15 


57.16 


40.40 


56.99 


40.65 


56.81 


40.90 


70 
71 


58.16 


40.72 


57.98 


40.98 


57.80 


41.23 


57.62 


41.48 


72 


58.98 


41.30 


58.80 


41.55 


58.62 


41.81 


58.43 


42.07 


72 


73 


59.80 


41.87 


59.61 


42.13 


59.43 


42.39 


59.24 


42.65 


73 


74 


60.62 


42.44 


60.43 


42.71 


60.24 


42.97 


60.06 


43.23 


74 


75: 


61.44 


43.02 


61-25 


43.29 


61.06 


43.55 


60.87 


43.82 


75 


76 


62.26 


43.59 


62.06 


43.86 


61.87 


44.13 


61.68 


44.40 ' 761 


77 


63.07 


44.17 


62.88 


44.44 


62.69 


44.71 


62.49 


44.99 


77 


78 


63.89 


44.74 


63.70 


45.02 


63.50 


45.29 


63.30 


45.57 


78 


79 


64.71 


45.31 


64.51 


45.59 


64.32 


45.88 


64.11 


46.16 


79 


80 
81 


65.53 


45.89 


65.33 


46.17 
46.75 


65.13 


46.46 


64.93 


46.74 


80 
81 


66.35 


46.46 


66.15 


65.94 


47.04 


65.74 


47.32 


82 


67.17 


47.03 


66. 9C 


47.33 


66.76 


47.62 


66.55 


47.91 


82 


83 


67.99 


47.61 


67.78 


47i90 


67.57 


48.20 


67.36 


48.49 


83 


84 


68.81 


48.18 


68.60 


48.48 


68.39 


48.78 


68.17 


49.08 


84 


85 


69.63 


48.75 


69.41 


49.06 


69.20 


49.36 


68.98 


49.66 


85 


86 


70.45 


49.33 


70.23 


49.63 


70.01 


49.94 


69.80 


50.25 


86 


87 


71.27 


49.90 


71.05 


50.21 


70.83 


50.52 


70.61 


50.83 


87 


88 


72,09 


50.47 


71.86 


50.79 


71.64 


51.10 


71.42 


51.41 


88 


89 


72.90 


51.05 


72,68 


51.37 


72.46 


51.68 


72.23 


52.00 


89 


90 
91 


73.72 


51.62 


73.50 


51.94 


73.27 


52.26! 

52.84 


73.04 


53.58 
54). 17 


90 
91 


74.54 


52.20 


74.31 


52.52 


74.08 


73.85, 


92 


75.36 


52.77 


75.13 


53.10 


74.90 


53.42 


74.66' '53.75 


92 


93 


76.18 


53.34 


75.95 


53.67 


75.71 


54.01 


75.48 


54.34 


93 


94 


77.00 


53,92 


76.76 


54.25 


76.53 


54.-59 


76.29 


54.92 


94 


95 


77.82 


54.49 


77.58 


54.83 


77.34 


55.17 


77.10 


55.50 


95 


96 


78.64 


55.06 


78.40 


55.41 


78.16 


55.75 


77.91 


56.09 


96 


97 


79.46 


55.64 


79.21 


55.98 


78,97 


56.33 


78.72 


56.67 


97 


98 


80.28 


56.21 


80.03 


56.56 


79.78 


56.91 


79.53 


57.26 


98 


99 


81.10 


56.78 


80.85 


57.14 


80.60 


57.49 


80.35 


57.84 


99 


100 


81.92 


57.36 


81,66 


57.71 


81.41 


58.07 


81.16 


58.42 


s 

J, 

.22 


Dep. 


Lat, 


Pep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


55 Deg. 


54| Deg. 


54i Deg. 


54i Deg. 



74 



TBJLVirR5i: TABLE. 



De.-. 



36t Deg. 



36i Deg. 



11 

1 
3 
3 
4 
5 
6 
7 
8 
9 
10 



Lit. De; 



Dep. Lat. Dep. Lat. Dep. 



11 
12 
13 
14 
15 
16 
17 
18 
19 

_?? 
21 



8 
9 
10 
11 
12 
12 
13 
14 
15 
26 
16 

22 117 

23 18 

24 19 

25 20 

26 hi 
27^21 
28 ^-^ 



O.Sl 
1.62 
2.43 



3.24 

4.05 : 

4.85 
5.66 
6.47 L 
7.28 
8.09' 



0.59 
I.IS 
1.76 
2.35 
2.94 
3.53 
4.11 
4.7 

5.: 

5.-- 



O.SI 
1.61 
2.42 
3.23 
4.03 
4.S4 
5. fin 



0.59 

1.18 
1.77 
2.37 
2.96 
3.55 
4.14 
4.73 
5.32 
5.91 



? 1.61 

O <1 ' 



0.80 
1.61 

2.41 
3.22 
4.02 
4.82 
5.63 
6.43 
7.23 
8.04 



.90. 6.i 

.71 7.' 

.52 7.r 

.33 8.: 

.14 8.^ 

.94 
. 75 



9.4i;» 

9.99 



13, 



56 10.55 14 



37 11.17 
18 : 11.76 



29 

31 
32 
33 
34 
35 
36 
37 
38 
39 

J^ 

4! 
42 
43 



15, 

2^ 

,99 12. a4 16, 

,80 12.93 17, 
,61 I 13.52 , IS. 

42 14.11 J 19. 

23 14.69 "20. 

03 15. 2S 20, 

S4 15.57 21. 

65 16.46 22. 

46 17.05 2-3. 

27 17.63 24. 



9.46 
10.05 
10.64 
11.2-3 
11. S3 



0.59 
1.19 
1.73 
2.38 
2.97 
3.57 
4.16 
4.76 
5.35 
5.95 



12.42 
13.01 
13.64) 
14.19 
14. 7S 
15.37 
15.97 
16.. 56 
17.15 
17.74 



25.08 
25.89 
26.70 
27.51 
28.32 
29.12 
29.93 
30.74 
31.. 55 
32.JJ1 
3:3.13 
33 . 9S 
:^.79 
35.60 
36.41 
37.21 
3S.02 
38. S3 
39.64 
4JJ.45 



18.22 
18.81 
19.40 
19.98 
20.57 
21.16 
21.75 
22.34 
2C.92 
23.51 



25.00 
25.81 
26.61 
27.42 
28.23 
29.03 
29 . 54 
3<:».64 
31.45 
32 . 26 



18.33 
18.92 
T9.51 
20.10 
20.70 
21 .29 
21. S- 
•>•> 4.' 

2-3! 06 
23.65 



24.10 


;33 


.06 


24.69 


33 


87 


25.27 


34 


.68 


25.56 


35 


45 


26.45 


36 


29 


27.04 


37 


iu 


27.63 


37 


90 


25.21 


35 


71 


25.80 


39 


52 


29.39 


40 


3-2 



D. 



Lit. Dep. 



24.24 
24.83 
2-5.4:3 
26.02 
26,61 
27.20 
27.79 
28.-3.8 
28.97 
29.57 

Lat. 



I 8.84 
9.65 

10.45 

11.25 

12.06 

12.36 

13.67 

14.47 

15.27 1 

16.08 

16.88 

17.65 

18.49 

19.29 

20.10 

20.90 

21.70 

22.51 

23.31 

24.12 



6. .54 
7.14 
7.73 
S..33 

8.92 
9.52 
10.11 
10.71 
11. .30 
11.90 
12.49 
13.09 
13.6S 
14.25 
14.87 
'5.47 



0.80 
1.60 
2.40 
3.20 
4.01 
4. 81 
5.61 
6.41 
7.21 
8.01 



. 60 

1.20; 

1.79 

2.39 

2.99 

3.59 

4.19 

4.79 

5.35 

5.95 



8.81 

i 9.61 

10.42 

1 11.22 

; 12.02 

12.32 

13.62 

. 14.42 

15.22 

' 16.03 

; 16.83 

17.63 

18.43 

19.23 

20.03 

20.83 



16.06 „21. 63 
16.65 '22.44 



23.24 
24.04 



6.58 

7.18 

7.7S 

8.:« 

8.97 

9.57 

10.17 

10.77 

11.37; 

11.97 ' 

12.55 

13.16 

13.76 

14.36 ' 

14.96 I 

15.56 I 

16.15 1 

16.75 [ 

17.35 

17.95 



9 

_ia 
11 

12 
13 
14 
15 

16 
17 
13 
19 
20 
21 
22 
2.3 
24 
25 
26 



30 



24.92 
25 . 72 
26.53 
27.33 
25.13 



31.35 
32.15 



15.44 
19.03 
19.63 
20.22 
20.82 
21.41 

•:2.oi 

23.20 
23.79 



2-1. 84 
25.64 
26.44 
27.24 
25.04 
28.85 
29.65 
30.4-5 
31 .25 
32.05 



18.55 ( 31 

19.15; .32 

19.74; :33 

20.34 f 34 

20.94' 35 

21.54' 36 

22.14; 37 

22.74; 38 

23.33 . 39 

23.93 40 



.32 . 96 
3:3.76 
.34.57 
35.37 
36.17 
36.98 
37.78 
35.59 
39.39 
40.19 



24.-39 
24.95 
25.. >8 
26.17 
26.77 
27.36 
27.96 
28.55 
29.15 
r 29.74 



:32.85 
33.65 
34.45 
:i5.26 
36.06 
36.36 
37.66 
:i8.46 
39.26 
40.06 



24.-53 
25.13 
25.73 
26.33 
26.92 
27.52 
2.5.12 
25 . 72 
29 . 32 
29.92 



4] 

4-; 
43 
44 
45 

46 
47 
48 
49 
50 



Dep. [ Lat. Dep. Lat. 



S4Deg. 



53i Deg. 53'^ Deg. 



53t Deg. 



TRAVERSE TABLE. 



76 



2 
P 

61 


36Deg. 


36i Deg. 


36i Deg. 


36J Deg. 


C 

u. 

1 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 

40.80 


Dep. 


41.26 


29.98 


41,13 


30.16 


41.00 


30.34 


30.51 


52 


42.07 


30.66 


41.04 


30.75 


41.80 


30.93 


41.67 


31.11 


52 


63 


42.88 


31.15 


45.74 


31.34 


42.60 


31.53 


42.47 


31.71 


53 


64 


43.69 


31.74 


43.55 


31.93 


43.41 


32.12 


43.27 


32.31 


54 


65 


44.50 


d2.33 


44.35 


32.52 


44.21 


32.72 


44.07 


32.91 


55 


66 


45.30 


32.92 


45.16 


33.11 


45.02 


33.31 


44.87 


33.51 


56 


67 


46.11 


33.50 


45.97 


33.70 


45.82 


33.90 


45.67 


34.10 


57 


68 


46.92 


34.09 


46.77 


34.30 


46.62 


34.50 


46,47 


34.70 


58 


59 


47.73 


34.68 


147.58 


34.89 


47.43 


35 09 


47.27 


35.30 


59 


60 

"61 


48.. 54 


35.27 


148.39 


35.48 


48.23 


35.69 


48.08 

48.88 


35.90 


60 
61 


49.35 [35.85 ||49.19 


36.07 


149.04 


36.28 


36.50 


62 


50.16 ,36.44 ; .50.00 


36.66 


49.84 


36.88 


49.68 


37.10 


62 


63 


50.97 137.03 


50.81 


37.25 


.50.64 


37.47 


50.48 


37.69 


63 


64 


51. 7S '37.02 


51.61 


37.84 


51.45 


38.07 


51.28 


38.29 


64 


65 


52.59 38.21 


52.42 


38.44 


52.25 


38.66 


52.08 


38.89 


65 


66 


53.40 38.79 


53.23 


39.03 


53.05 


39.26 


52.88 


39.49 


66 


67 


54.20 139.38 


54.03 


39.62 


53.86 


39.85 


53.68 


40.09 


67 


68 


55.01 139.97 


54.84 


40.21 


54.66 


40.45 


54.49 


40.69 


68 


69 


55.82 140.56 


55.64 


40.80 


55.47 


41.04 


55.29 


41.28 


69 


70 

71 


56.63 141.14 


56.45 


41.39 


56.27 


41.64 


56.09 


41.88 
42.48 


70 
71 


57.44 141.73 


157.26 


41.98 


57.07 


42.23 


56.89 


72 


58.25 '42.32 


58.06 


42.57 


57.88 


42.83 


57.69 


43.08 


72 


73 


59.06 


42.91 


.58.87 


43.17 


58.68 


43.42 


58.49 


43.68 


73 


74 


59.87 


43.50 


59.68 


43.76 


59.49 


44.02 


59.29 


44.28 


74 


75 


60.68 


44.08 


60.48 


44.35 


60.29 


44.61 


60.09 


44.87 


75 


76 


61.49 


44.67 


61.29 


44.94 


61.09 


45.21 


60.90 


45.47 


76 


77 


62.29 


45.26 


62.10 


45.53 


61.90 


45.80 


61.70 


46.07 


77 


78 


63.10 


45.85 


62.90 


46.12 


62.70 


46.40 


62.50 


46.67 


78 


79 


63.91 


46.43 


63.71 


46.71 


63.50 


46.99 


63.30 


47.27 


79 


80 
81 


64.72 


47.02 


64.52 


47.30 


64.31 


47.59 


1 64.10 


47.87 


80 
81 


65.53 


47.61 


65.32 


47.90 


65.11 


48.18 


64.90 


48.46 


82 


66.34 


48.20 


66.13 


48.49 


65.92 


48.78 


65.70 


49.06 


82 


83 


67.15 


48.79 


66.93 


49.08 


66.72 


49.37 


66.50 


49.66 


83 


84 


67.96 


49.37 


67.74 


49.67 


67.52 


49.97 


67.31 


50.28 


84 


85 


68.77 


49.96 


68.55 


50.26 


68.33 


50.56 


'68.11 


50.86 


85 


86 


69.58 


50.55 


69.35 


50.85 


69.13 


51.15 


68.91 


51,40 


86 


87 


70.38 


61.14| 


70.16 


51.44 


69.94 


51.75 


169.71 


52.05 


87 


88 


71.19 


51.73 


70.97 


52.04 


70.74 


52.34 


70.51 


52,65 


88 


89 


72.00 


52.31 1 


71.77 


52.63 


71.54 


52.94 


71.31 


53.25 


89 


90 
91 


72.81 152.90 


72.58 


53.22 


72.35 


53.53 


72.11 
72.91 


53.85 
54.45 


90 
91 


73.62 153.49 


73.. 39 


.53.81 


73.15 


54.13 


92 


74.43 


54.08 


74.19 


54.40 


73.95 


54.72 


73.72 


55.05 


92 


93 


75.24 


54.66 


75.00 


54.99 


74.76 


55.32 


74.52 


55.64 


93 


94 


76.05 


55.25 


75.81 


55.58 


75.56 


55.91 


75.32 


50.24 


94 


95 


76.86 


55.84 


76.61 


56.17 


76.37 


56.51 


76.12 


56.84 


95 


96 


77.67 


56.43 


77.42 


56.77 


77.17 


57.10 


76.92 


57.44 


96 


97 


78.47 


57.02 


78.23 


57.36 


77.97 


57.70 


77.72 


58.04 


97 


98 


79.28 57.60 i 


79.03 


57.95 


78.78 


58.29 


78.52 


58.64 


98 


99 80.09 


58.19 


79.84 


58.54 


79.58 


58.89 


79.32 


59.23 


99 


100 


80.90 


58.78] 


80.64 


59.13 


80.39 


59.48 


80.13 


59.83 


100 

6 
o 


o 

C 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat 


Dep. 


Lat. 


54Deg. 


o3| Deg. 


53i Deg. 


53i Deg. 



76 



TRAVEE5E TABLE, 






37 Deg. 1 


37i Deg. 


37i Deg. 


37iDeg. 1 tr| 


1 


1 








a; 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 

0.61 


Lat. Dep. 


0.80 


0.60 


0.80 


0.61 


0.79 


0.79 


0.61! 1 


2 


1.60 


1.20 


1.59 


1.21 


1.59 


1.22 : 1.58 


1.22 2 


3 


2.40 


1.81 


2.39 


1.82 


2.38 


1.83 


2.37 


1.84! 3 


4 


3.19 


2.41 


3.18 


2.42 


3.17 


2.43 


3.16 


2.45 4 


5 


3.99 


3.01 


3.98 


3.03 


3.97 


3.04 


3.95 1 3.06 1 5 1 


6 


4.79 


3.61 


4.78 


3.63 


4.76 


3.65; 


4.74 


3.67 6 




5.59 1 4.21 


5.57 


4.24 


5.55 


4.26 


5.53 


4.29 7 1 


8 


6.39 4.81 


6.37 


4.84 


6.35 


4.87! 


6.33 


4.90 


8 


9 


7.19 5.42 


7.16 


5.45 


7.14 


5.48 1 


7.12 


5.51 


9 


10 


7.99 6.02 


7.96 


6.05 


7.93 


6.09 


7.911 6.12 


10 


11 


8.78 1 6.62 


8.76 


6.66 


8.73 


6.70 


8.70; 6.73 


11 


12! 9.5S 


7.22 


9.55 


7.26 


9.52 


7.31 ' 9.49; 7.35 1 12 


13 110.38 


7.82 


10.35 


7.87 


10.31 


7.91 ' 10.28 1 7.96 1 13 


11 11.18 


8.43 


11.14 


8.47 


11.11 


8.52 i 11.07 8.57: 14 


lo'i 11.98 


9.03 


11.94 


9.08 


11.90; 9.13 j 11.86| 9.18! 15 


16(12.78 1 9.63 


12.74 


9.63 


12.69 1 9.74 1 12.65 9.80, 16 


17 1 13.58 1 10.23 


13.53 


10.29 


13.49] 10.35 ' 13.44 1 10.41 | 17 


13 14.38 , 10.83 


14.33 


10.90 


14.23 ' 10.96 ; 14.23 11.02 ' 13 


19 15.17; 11.43 


15.12 


11.50 


15.07 11.57 ! 15.02 11.63 ' 19 


2J. 15.97: 12.04 


15.92 i 12.11 


15.37 12.18 ! 15.31 12.24 20 


21 i 16.77: 12.64 


16.72 


12.71 


16.66 ! 12.73 16.60 12.36 21 


22 , 17.57 13.24 


17.51 


13.32 


17.45 1 13.39 ' 17.40; 13.47 22 


23 1 18.37 


13.84. 


18.31 


13.92 


18.25 j 14.00 i 18.19! 14.08 ! 23 


24! 19.17 


14.44 


19.10 


14.53 


19.04 1 14.61 : 13.93 \ 14.69' 24 


25! 19.97 


15.05 


19.90 


15.13 


19.33 1 15.22 19.77 1 15,31 ! 25 


26 i 20.76 


15.65 


20.70 


15.74 


20.63 i 15.33 20.56! 15.92 26 


27 


21.56 [ 16.25 


21.49 


16.34 


21.42 ; 16.44 21.35 ; 16.53 27 


28 


22.33 16.85 


22 . 29 


16.95 


22.21 17.05 22.14 17.14 23 


29 


23.16 i 17.45 


23.08 


17.55 


23.01 ' 17.65 22.93 17.75 1 29 


30 


23.96 i 18.05 


23.33 


18.16 


23.30 13.26 23.72 13.37! 30 


31 124.76 1 18.06 


24.63 i 13.76 


24.59 ; 18.37 24.51 \ 13.93 \ 31 


32 '25.56^ 19.26 


25.47 


19.37 


25.39 , 19.43 25.30 ; 19.59 : 32 


33 ' 26.35 i 19.86 


26.27 


19.97 


26. 18 120.09 , 26.09: 20.20; 33 


34 127.15 i 20.46 


27.06 


20 . 53 


26.97 • 20.70 26.88 . 20.32 34 


35 '27.95 121.06 


27.86 


21.19 


27.77 ' 21.31 1 27.67 21.43 ; 35 


36,28.75! 21.67 


28.66 


21.79 


23.56 '21.92 ; 23.46 22.04 3G 


37 29.55 1 22.27 


29.45 


22.40 


29.35 22.52 29.26 22.65 37 


38! 30.35 22.87 


30.25 


23.00 


30.15 23.13 30.05 23.26 33 


.39 31.15 i 23.47 


31.04 


23.61 


30.94 23.74 30.34 23.33 39 


40 

41 


31.95 24.07 


31.84 


24.21 


31.73 24.35 


31.63 24.49 40 1 


32.74 124.67 


32.64 


24.82 


32.53 24.96 


32.42 25.10 41 1 


42 


33.54 1 25.28 


33.43 ,25.42 


33.32 25.57 33.21 25.71 42 


43 


34.34 1 25.88 


34.23 


26.03 


34.11 26.18 34.00 26.33 43 


44 


35.14 26.48 


35.02 


26.63 


34.91 i 26.79 34.79 26.94 44 


45 


35.94 27.08 


35.82 


27.24 


35.70 27.39 35.53 27.55 45 


46 ■ 36.74 127.68 


36.62 


27.84 


36.49 23.00 36.37 23.16 46 


47 ! 37.54 1 28.29 


37.41 


28.45 


37.29 23.61 ii 37.16 28.77 ' 47 


4S 33.33! 28.89 


38.21 


29.05 


33.03 29.22 ,37.95 29.39 , 43 


49 '39. 13 129.49 


39.00 


29.66 


33.87 29.83 il 38.74 30.00 49 


50 39.93 j 30.09 


39.80 


30.26 


39.67 
Dep. 


30.44;! 39.53 30.61 50 1 


g 

c 


Dep. 


Lat. 


Dep. 


Lat 


Lat. 


Dep. \ Lat. 


1 i 


1 


53 Dej. 


52| Deg. 


52i Deg. 


52i Deg. 


II 



TJRAVKRSE T.VllLE. 



77 



p 

CD 

61 


37 Deg. 


37i Deg. 


37i Deg. 


37i Deg. 


O 
~51 


Lat. 


Dep. 


Lat. 


Dep. 
30.87 


Lat. 


Dep. 


Lat. 


Dep. 


40.73 


30.69 


40.60 


40.46 


31.05 


40.33 


31.22 


52 


41.53 


31.29 


41.39 


31.48 


41.25 


31.66 


41.12 


31.84 


52 


fi3 


42.33 


31.90 


42.19 


32.08 


42.05 


32.26 


41.91 


32.45 


53 


54 


43.13 


32.50 


42.98 


32.69 


42.84 


32.87 


42.70 


33.06 


54 


55 


43.92 


33.10 


43.78 


33.29 


43.63 


33.48 


43.49 


33.67 


55 


56 


44.72 


33.70 


44.58 


33.90 


44.43 


34.09 


44.28 


34.28 


56 


57 


45.52 


34.30 


45.37 


34.50 


45.22 


34.70 


45.07 


34.90 


57 


58 


46.32 


34.91 


46.17 


35.11 


46.01 


35.31 


45.86 


35.51 


58 


59 


47.12 


35.51 


46.96 


35.71 


46.81 


35.92 


46.65 


36.12 


59 


60 
61 


47.92 


36.11 


47.76 


36.32 


47.60 


36.53 
37.13 


47.44 


36.73 


60 


48 . 72 


36.71 


48.56 


36.92 


48.39 


48.23 


37.35 


01 


62 


49.. 52 


37.31 


49.35 


37.53 


49.19 


37.74 


49.02 


37.96 


62 


63 


50.31 


37.91 


50.15 


38.13 


49.98 


38.35 


49.81 


38.57 


63 


64 


51.11 


38.. 52 


50.94 


38.74 


50.77 


38.96 


50.60 


.39.18 


64 


65 


51.91 


39.12 


51.74 


39.34 


51.57 


39.57 


51.39 


39.79 


65 


66 


52.71 


39.72 


52.54 


39.95 


52.36 


40.18 


52.19 


40.41 


66 


67 


53.51 


40.32 


53.33 


40.55 


53.15 


40.79 


52.98 


41.02 


67 


68 


54.31 


40.92 


54.13 


41.16 


53.95 


41.40 


53.77 


41.63 


68 


69 


55.11 


41.53 


54.92 


41.77 


54.74 


42.00 


54.56 


42.24 


69 


70 
71 


55.90 
56.70 


42.13 


55.72 


42.37 


55.53 
56.33 


42.61 


55.35 


42.86 


70 


42.73 


56.52 


42.98 


43.22 


56.14 


43.47 


71 


72 


57.50 


43.33 


57.31 


43.58 


57.12 


43.83 


56.93 


44.08 


72 


73 


58.30 43.93 


.58.11 


44.19 


57.91 


44.44 


57.72 


44.69 73 1 


74 


59.10 44.53 


58.90 


44.79 


.58.71 


45.05 


58.51 


45.30 


74 


75 


.59.90 45.14 


59.70 


45.40 


.59.50 


45.66 


59.30 


45.92 


75 


76 


60.70 45.74 


60.. 50 


46.00 


60.29 


46.27 


60.09 


46.53 


76 


77 


61.49 146.34 


61.29 


46.61 


61.09 


46.87 


60.88 


47.14 


77 


78 


62.29 146.94 


62.09 


47.21 


61.88 


47.48 


61.67 


47.75 


78 


79 


63.09 '47.54 


62.88 


47.82 


62.67 


48.09 


62.46 


48.. 37 79 8 


80 
81 


63.89^48.15 
64.69 48.75 


63.68 


48.42 


63.47 


48.70 


63.20 


48.98 


80 


64.48 


49.03 


64.26 


49.31 


64.05 


49.59 


81 


82 


65.49 : 49.35 


65.27 


49.63 1 


65.05 


49.92 


64.84 


.50.20 


82 


83 


66.29 49.95 


66.07 


.50.24 


65.85 


50.53 


65.63 


50.81 


83 


84 


67.09 150.. 55 


66.86 ! .50.84 


66.64 


51.14 


66.42 


51.43 


84 


85 


67.88 : 51.15 


67.66 ! 51.45 


67.43 


51.74 


67.21 


52.04 


85 


86 


68.68 51.76 


68.46 .52.06 


68.23 


52.35 


68.00 


52.65 


86 


87 


69.48 1.52.36 


69.25 52.66 


69.02 


52.96 


68.79 


53.26 


87 


88 


70.28 52.96 


70.05 53.27 


69.82 


53.57 


69.58 


.53.88 


88 


89 


71.08 I 53. .56 


70.84 1 53.87 


70.61 


54.18 


70.37 


54.49 


89 


90 
91 


71.88 i .54.16 


71.64 154.48 


71.40 


54.79 


71.16 


55.10 


90 


72.68 i 54.77 


72.44 


.55.08 


72.20 


55.40 


71.95 


.55.71 


91 


92 


73.47! 55.37 


73.23 


55.69 


72.99 


56.01 


72.74 


.56.32 


92 


93 


74.27! 55.97 


74.03 


56.29 


73.78 


56.61 


73.. 53 


56.94 


93 


94 


75.07 56.57 


74.82 


56.90 


74.58 


57.22 


74.32 


57.55 


94 


95 


75.87 57.17 


75.62 


57.50 


75*. 37 


57.83 


75.12 


.58.16 


95 


96 


76.67 57.77 


76.42 


58.11 


76.16 


58.44 


75.91 


.58.77 i 96 I 


97 


77.47 58.38 


77.21 


,58.71 


76.96 


59.05 


76 . 70 


.59.39 


97 


9S 


78.27 .58.98 


78.01 


59.32 


77.75 


59.66 


77.49 


60.00 


98 


99 


79.06 .59.58 


78.80 ! .59.92 


78.54 


60.27 


78.28 


60.61 


99 


100 

6 

c 

d 


79.86 60.18 


79.60 


60.53 


79.34 


60.88 


79.07 


61.22 


100 

o' 

o 

C 


Dcp. j Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dcp. 


Lat. 


53 Deg. 


521 Deg. 


52^ Deg. 


52i Deg. 

1 




















" 



TRAVr.RSE TABLE. 



l' 


38 D 


eg. 


La:. 1 
u.7y 


Dep. 

. 62 


38iD6g. ji 

Lai. Dep. 
0.78 0.62 


m Deg. 






Lai. 


Dep. 


La..| 


Dep. 




1 


0.79 


0.62 


0.78' 


0.63 


1 




2 


1.5S 


1.23 


1.57 


1.24 


1.57 


1.24 


1..56 


1 . 25 


2 




3: 


2.36 


1.85 


2.36 


1.86 


2.35 


1.87 


2.34 


' ;; 


3 




4; 


3.15 


2.46 


3.14 


2,4S 


3.13 


2.49 


3.1, 








5' 


3.94 


3.08 


3.93 


3.10 


3.91 


3.11 


, 




5 




6 


4.73 


3.. 69 


4.71 


3.71 


4.70 








6 




7 ; 


5.52 


4.31 


5 . 50 


4.33 


5,48 








7 




8 


6.30 


4.93 


•^ . 2*" 


4.95 


6 . 26 


-X , . 






s 




9 


7.09 


5.54r 


■ 


5 . 5 7 


7 , i.'4 


■' . " ' 






9 




10 


7.SS 


6.1- 


' , -' 


^ .'-'^ 


7. S3 


-.■,•?. 




— ^ 


10 

11 




11 


8.67 


6.77 


~~T,~T 


- , - _ 


-.61 


6.85 






12 


9.46 


7.3H 




; , -^ ;: 


• . 39 


7.47 






• Q 




13 


10.24 


S.Ou 


7 -J . 2 1. 


!; . '.'-J 


1'J.17 


8.09 






■3 




14 


11.03 


8.62 


10.99 


8.67 


10.96 


8.72 






14 




15 


11. S2 


9.23 


11.73 


9,29 


11.74 


9.34 






15 




16 


12.61 


9 . S5 i 


12.57 


9,91 


12.. 52 


9.96 


12 ! 4- 


lu.ul 


16 




17 


13.40 


10.47. 


13.35 


10.52 


13.. 30 


10.. 58 


13.26 


10.64 


17 




IS 


14.18 


11.03' 


14.14 


11.14 


14.09 


11.21 


14.04 


11.27 


IS 




19 


14.97 


11.70 


14.92 


11.76 


14.87 


11.83 


14.82 


1 1 . 89 


19 




20 

21 


15.76 
16.55 


12.31 

12.93 


15.71 


12.38 


15.65 
:^43 


12.45 
13.07 


15.60 


12.52 


20 




16.:- 




■''I 




22 


17.34 


13. c^ 


1 ' . ', ■"" 


". . , , 


22 


13.70 


17. : 




22 




23 


18.12 


14.1-: 




'. ^ . ■- - 


. - . 00 


14.32 


17.''. 




23 




24 


18.91 


14.7- 


: - , ;- ' 


14,86 


18.78 


14.94 


18.72 


15.02 


24 




25 


19.70 


15.3;^ 




15.48 


19.57 


15.56 


19.50 


15.65 


25 




26 


20.49 


16.0: 


■, . --- , 


16.10 


20.35 


16.19 


20.28 


16.27 


26 




27 


21.28 


16. Hi 


7 \ . ', 


16.72 


21,13 


16.81 


21.06 


16.90 


27 




2S 


22.06 


17.2^ 


■, - . - r 


17.33 


21.91 


17.43 


21.84 


17.. 53 


•T^ 




29 


22.85 


17.85 


22. 77 


17,95 


22 . 70 


18.05 


22.62 


18.15 


29 




30 


23.64 


18.47 


23.56 


18.57 


23.48 


18.68 


23.40 


18.78 


30 




31 


24.43 


19.09 


24.34 


19.19 


24.26 


19.30 


24.18 


19.40 


31 




32 


25 . 22 


19.70 


25.13 


19.81 


25.04 


19.92 


24.96 


20.03 


32 




33 


26.00 


20.32 


25.92 


20.43 


25.83 


20 . 54 


25 . 74 


20.66 


33 




34 


26.79 


20.93 


26.70 


21,05 


26.61 


21.17 


26.52 


21.28 


34 




35 


27. 5S 


21,55 


27.49 


21.67 


27.39 


21.79 


27.30 


21.91 


35 




36 


2S.37 


22. l-^ 


2'^ .27 


22.29 


2 ^ . 1 7 


22.41 


28.08 


22.53 


35 




37 


29.16 


•J C . * " 




■, 'l . • : 




13.03 


28.86 


23.16 


37 




3S 


29.94 


■, ; , ^ 


, - . - -_- 


■1 :; . ' 




,3.66 


29.64 


23.79 


38 




39 


30.73 


^rt <> 


3u.oo 




•J ■■..', , 


24.28 


30.42 


24.41 


39 




40 


31.52 


24^63 


31.41 


24'. 76 


31.3'J 


24.90 


31.20 


25.04 


40 




41 


32.31 


25.24 


32 . 20 


25.38 


32 . 09 


25.52 


31.9- 


2.' .h-s 


41 




42 


33.10 


25,86 


32.98 


26.00 


32.87 


26.15 


32.' 




< .-> 




43 


33. SS 


26.47 


33.77 


26.62 


33.65 


26.77 


33 . - 




43 




44 


34.67 


27.09 


34 . 55 


27.24 


3i.43 


27.39 


34.8 


: .- 


44 




45 


35.46 


27.70 


35.34 


27.86 


35.22 


28.01 


35.' ■ 


',".!' 


45 




46 


36.25 


2^.32 


36.12 


28.48 


36.00 


28.64 


35.87 


'- - . T < 


46 




47 


37.04 


28.94 


36.91 


29.10 


36.78 


29 . 26 


.36.65 


23.42 


47 




4S 


37 . 82 


29.. 55 


37.70 


29.72 


.37.57 


29.88 


37.43 


30.04 


48 




49 


.^8.61 


30.17 


38.48 


30.34 


38.35 


30 . .50 


38.21 


30.67 


49 




50 


39.40 


30.78 


39.27 


.30.95 


39.13 
Dep. 


31.13 


38.99 


31.30 


■ 50 







Dep. 


, Lat. 


Dep. 


Lat. 


Lat. 


Dep. 


Lat. 


= 




5-2] 


Dez. 


5U 


De.. 


51: 


De.. 


51? 


Dez. 











TRAVERSE TABLE. 






79 


o 

£ 

P 
51 


38 Deg. 


30i Deg. 


38i Deg. 


381 Deg. 


1 
51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


40.19 


31.40 


40.05 


31.57 


39.91 


31.75 


39 . 77 


31.92 


I 62 


40.98 


32.01 


40.84 


32.19 


40.70 


32.37 


40 . 55 


32.55 


52 


63 


41.76 


32.63 


41.62 


32.81 


41.48 


32.99 


41.33 


33.17 


53 


64 


42.55 


33.25 


42.41 


33.43 


42.26 


33.62 


42.11 


33.80 


54 


65 


43.34 


33.86 


43.19 


34.05 


43.04 


34.24 


42.89 


34.43 


55 


56 


44.13 


34.48 


43.98 


34.67 


43.83 


34.86 


43.67 


35.05 


56 


67 


44.92 


35.09 


44.76 


35.29 


44.61 


35.48 


44.45 


35.68 


57 


58 


45.70 


35.71 


45.55 


35.91 


45.39 


36.11 


45.23 


36.30 


58 


, 59 


46.49 


36.32 


46.33 


36.53 


46.17 


36 . 73 


46.01 


36.93 


59 


60 
61 


47.28 


36.94 


47.12 


37.15 


46.96 


37.35 


46.79 


37.56 


60 


48.07 


37.56 


47.90 


37.76 


47.74 


37.97 


147.57 


38.18 


61 


1 . 62 


48.86 


38.17 


48.69 


38.38 


48.52 


38.60 


48.35 


38.81 


62 


63 


49.64 


38.79 


49.47 


39.00 


49.30 


39.22 


49.13 


39.43 


63 


64 


50.43 


39.40 


50.26 


39 . 62 


50.09 


39.84 


49.91 


40.06 


64 


65 


51.22 


40.02 


51.05 


40.24 


50.87 


40.46 


50.69 


40.68 


65 


' 66 


52.01 


40.63 


51.83 


40.86 


51.65 


41.09 


51.47 


41.31 


66 


1 67 


52.80 


41.25 


52.62 


41.48 


52.43 


41.71 


52.25 


41.94 


67 


' 68 


53.58 


41.86 


53.40 


42.10 


53.22 


42.33 


.53.03 


42.56 


68 


69 


54.37 


42.48 


54.19 


42.72 


54.00 


42.95 


53.81 


43.10, 6^1 


, 70 
71 


55.16 


43.10 
43.71 


54.97 


43.34 


54.78 


43.58 


54.59 


43.81 


70 
71 


55.95 


55.76 


43.96 


55.57 


44.20 


55.37 


44.44 


72 


56.74 


44.33 


56.54 


44.57 


56.35 


44.82 


56.15 


45.07 


72 


73 


57.52 


44.94 


57.33 


45.19 


57.13 


45.44 


.56.93 


45.69 


73 


74 


58.31 


45.56 


58.11 


45.81 


57.91 


46.07 


57.71 


40.32 


74 


' 75 


59.10 


46.17 


58.90 


46.43 


58.70 


46.69 


.58.49 


46.94 


75 


76 


59.89 


46.79 


59 . 68 


47.05 


59.48 


47.31 


59.27 


47.57 


76 


; 77 


60.68 


47.41 


60.47 


47.67 


60.26 


47.93 


60.05 


48.20 


77 


1 78 


61.46 


48.02 


61.25 


48.29 


61.04 


48.56 


60.83 


48.82 


78 


79 


62.25 


48.64 


62.04 


48.91 


61.83 


49.18 


61.61 


49.45 


79 


80 
81 


63.04 


49.25 


62.83 


49.53 


62.61 


49.80 


62.39 


50.07 


80 


63.83 


49.87 


63.61 


50.15 i 


63.39 


50.42 


63.17 


50.70 


81 


82 


64.62 


50.48 


64.40 


50 . 77 ! 


64.17 


51.05 


63.95 


51.33 


82 


83 


65.40 


51.10 


65.18 


51.38 i 


64.96 


51.67 


64.73 


51.95 


83 


84 


66.19 


51.72, 


65.97 


52.00 , 


65.74 


52.29 


65.51 


52.. 58 


84 


85 


66.98 


52.33 


66.75 


52.62 i 


66.52 


52.91 


66.29 


53.20 


85 


86 


67.77 


52.95 


67.54 


53. .24; 


67.30 


53.54 


67.07 


53.83 


86 


87 


68.56 


53.56 ; 


68.32 


53.86 


68.09 


54.16 


67.85 


54.46 


87 


88 


69.34 


.54.18 


69.11 


54.48 : 


68.87 


54.78 


68.63 


55.08 


88 


89 


70.13 


54.79 


69.89 


55.10 ; 


69.65 


55.40 


69.41 


55.71 


89 


90 

91 


70.92 


55.41 


70.68 
71.46 


55 . 72 


70.43 1 


56.03 


70.19 


56.33 


90 
91 


71.71 


56.03 


56.34 


71.22 


56.65 


70.97 


56.96 


92 


72.50 


56.64 


72.25 


56.96 


72.00 


57.27 


71.75 


57.58 


92 


93 


73.28 


57.26 


73.03 


57.58 


72.78 


57.89 


72.53 


.58.21 


93 


94 


74.07 


57.87 


73.82 


58.19 


73.57 


58.52 


73.31 


58.84 


94 


95 


74.86 


58.49 


74.61 


58.81 


74.35 


59.14 


74.09 


59.46 


95 


'1 96 


75.65 


59.10 


75.39 


59.43 


75.13 


59.76 


74.87 


60.09 


96 


! 97 


76.44 


59.72 


76.18 


60.05 


75.91 


60.38 


75.65 


60.71 


97 


! 98 


77.22 


60.. 33 


76.96 


60.67 


76.70 


61.01 


76.43 


61. .34 


98 


: 99 


78.01 


60.95 


77.75 


61.29 


77.48 


61.63 


77.21 


61.97 


99 


1 100 

o 

c 


78.80 


61.57 


78.53 


61.91 


78.26 


62.25 


77.99 


62.59 


100 

s 

c 
a 

to 

s 


Dep. 


Lat. 


Dep. 


Lat. |j 


Dep. 


Lat. 


Dep. 


Lat. 


52 Deg. 


511 Deg. 1 


5U1 


)eg. 


5U Deg. 


' 1 








1 



80 



TRAVERSE TABLE. 



o 

s 

3 
o 
? 


39 Deg. 


39i Deg. 


39i Deg. 


391 Deg. 


3 
O 

o 

~~1 


Lat. Dep. 


Lat. 


Dep. 


Lat. 

• 0.77 


Dep. 


Lat. 


Dep. 


0.78 0.63 


0.77 


0.63 


0.64 


0.77 


0.64 


2 


1.55 1.26 


1.55 


1.27 


1.54 


1.27 


1.54 


1.28 


2 


3 


2.33 1.89 


2.32 


1.90 


2.31 


1.91 


2.31 


1.92 


3 


4 


3.11 2.52 


3.10 


2.53 


3.09 


2.54 


3.08 


2.56 


4 


5 


3.89 3.15 


3.87 


3.16 


: 3.86 


3.18 


3.84 


3.20 


5 


6 


4.66 3.78 


4.65 


3.80 


4.63 


3.82 


4.61 


3.84 


6 


7 


5.44 4.41 


5.42 


4.43 


5.40 


4.45 


5.38 


4.48 


7 


8 


6.22 5.03 


6.20 


5.06 


6.17 


5.09 


6.15 


5.12 


8 


9 


6.99 5.66 


6.97 


5.69 


6.94 


5.72 


6.92 


5.75 


9 


10 
11 


7.77 6.29 


7.74 


6.33 


7.72 


6.36 


7.69 


6.39 


10 
11 


8.55 6.92 


8.52 


6.96 


8.49 


7.00 


8.46 


7.03 


12 


9.33 7.55 


9.29 


7.59 


9.26 


7.63 


9.23 


7.67 


12 


13 


10.10 8.18 


10.07 


8.23 


10.03 


8.27 


9.99 


8.31 


13 


14 


10.88 8.81 


10.84 


8.86 


10.80 


8.91 


10.76 


8.95 


14 


15 


11.66 9.44 


11.62 


9.49 


11.57 


9.54 


11.53 


9.59 


15 


16 


12.43 10.07 


12.39 


10.12 


12.35 


10.18 


12.30 


10.23 


16 


17 


13.21 10.70 


13.16 


10.76 


13.12 


10.81 


13.07 


10.87 


17 


18 


13.99 11.33 


13.94 


11.39 


13.89 


11.45 


13.84 


11.51 


18 


.19 


14.77 11.96 


14.71 


12.02 


14.66 


12.09 


14.61 


12.15 


19 


20 
21 


15.54 12.59 
16.32 13.22 


15.49 


12.65 


15.43 ! 12.72 : 15.38 


12.79 


20 
21 


16.26 


13.29 


16.20 


13.36 1 16.15 


13.43 


22 


17.10 13.84 


17.04 


13.92 


16. 9S 


13.99 1 16.91 i 14.07 


22 


23 


17.87 14.47 


17.81 


14.55 


17.75 


14.63,1 17.68 


14.71 


23 


24 


18.65 15.10 


, 18.59 


15.18 


18.52 


15.27 1 18.45 


15.35 


24 


25 


19.43 15.73 


1 19.36 


15.82 


19.29 


15.90 ,! 19.22 


15.99 


25 


26 


20.21 16.36 


! 20.13 
120.91 


16.45 


20.06 


I6..54ii 19.99 


16.63 


26 


27 


20.98 16.99 


17.08 


■ 20.83 


17.17 120.76 


17.26 


27 


28 


21.76 17.62 


21.68 


17.72 


21.61 


17.81 


21.53 


17.90 


28 


29 


22.54 18.25 


22.46 


18.35 


22.38 


18.45 


22.30 


18.54 


29 


30 
-31 


23.31 18.88 
24.09 19.51 


23 . 23 


18.98 


23.15 


19.08 


23.07 


19.18 


30 
31 


24.01 


19.61 


23 . 92 


19.72 


23.83 


19.82 


32 


24.87 20.14 


24.78 


20.25 


24.69 


20.35 


24.60 


20.46 


32 


33 


25.65 20.77 


25.55 


20.88 


25.46 


20.99 


25.37 


21.10 


33 


34 


26.42 21.40 


26.33 


21.51 


26.24 


21.63 


26.14 


21.74 


34 


35 


27.20 22.03 


27.10 


22.14 


27.01 


22.26 


26.91 


22.38 


35 


36 


27.98 22.66 


27.88 


22.78 


27.78 


22 . 90 


27.68 


23.02 


35 


37 


28.75 23.28 ' 


28.65 


23.41 


28.55 


23.53 


28.45 


23.66 


37 


38 


29.53 i 23.91 , 


29.43 


24.04 


29.32 


24.17 


29.22 


24.30 


3S 


39 


30.31 124.54 


30.20 


24.68 


30.09 


24.81 


29.98 


24.94 


39 


40 
41 


31.09 '25.17 
31.86 25.80 


30.98 


25.31 


30.86 


25.44 130.75 


25.58 


40 

41 


31.75 


25.94 


31.64 


26.08' 


31.52 


26.22 


42 


32.64 26.43 


32 . 52 


26.57. 


.32.41 


26.72 


32.29 


26.86 


42 


43 


33.42 127.06 


33.30 


27.21 


33.18 


27.35 


33.06 


27.50 


43 


44 


34.19 127.69 


34.07 


27.84' 


33.95 


27.99 


33.83 


28.14 


44 


45 


34.97 


28.32 


34.85 


28.47! 


34.72 


28.62 


34.60 


28.77 


45 


46 


35.75 


28.95 ■ 


35.62 


29.10' 


35.49 


29.26 


35.37 


29.41 


46 


47 


36.53 


29.58 


36.40 


29.74, 


36.27 


29.90 


36.14 


30.05 


47 


48 


37.30 


30.21 


37.17 


30.37 


37.04 


30.53 i 


36.90 


30.69 


48 


49 


38.08 


30.84 


37.95 


31.00 


37.81 


31.17 


37.67 


31.33 


49 


50| 

d 
o 

(5 


38.86 


31.47 


38 . 72 


31.64 


38.58 


31.80 


38.44 


31.97 


50 

cJ 
o 

c 

i: 


Dep. 


Lat. , 


Dep. 


Lat. , 

1 


Dep. 


Lat. 


Dep. 

soil 


Lat. 

Deg. 


51 Deg. 


50J Deg. 


i 
50i Deg. 



TRAVERSE TABLE. 



81 



o 
? 

61 


39 Deg. 


39i Deg. 


39i Deg. 


391 Deg. 


51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 
39.35 


Dep. 


Lat. 


Dep. 


39.63 


32.10 


39.49 


32.27 


32.44 


39.21 


32.61 


. 62 


40.41 


32.72 


40.27 


32.90 


40.12 


33.08 


39.98 


33.25 


52 


53 


41.19 


33.35 


41.04 


33.63 


40.90 


33.71 


40.75 


33.89 


53 


64 


41.97 


33.98 


41.82 


34.17 


41.67 


34.35 


41.52 


34.53 


54 


6o 


42.74 


34.61 


42.69 


34.80 


42.44 


34.98 


42.29 


35.17 


55 


66 


43.62 


36.24 


43.37 


35.43 


43.21 


35.62 


43.06 


35.81 


66 


67 


44.30 


35.87 


44.14 


36.06 


43.98 


36.26 


43.82 


36.45 


57 


68 


45.07 


36.50 


44.91 


36.70 


44.75 


36.89 


44.59 


37.09 


58 


59 


45.85 


37.13 


45.69 


37.33 


45.63 


37.63 


46.36 


37.73 


59 


60 
61 


46.63 
47.41 


37.76 


46.46 


37.96 


46.30 


38.16 


46.13 


38.37 


60 
61 


38.39 


47.24 


38.60 


47.07 


38.80 


46.90 


39.01 


62 


48.18 


39.02 


48.01 


39.23 


47.84 


39.44 


47.67 


39.65 


62 


63 


48.96 


39.65 


48.79 


39.86 


48.61 


40.07 


48.44 


40.28 


63 


64 


49.74 


40.28 1 


49.56 


40.49 


49.38 


40.71 


49.21 


40.92 


64 


65 


50.51 


40.91 1 


50.34 


41.13 


60.16 


41.35 


49.97 


41.56 


65 


66 


51.29 


4l..54| 


51.11 


41.76 


60.93 


41.98 


60.74 


42.20 


66 


67 


52.07 


42. J6 ' 


51.88 


42.39 


51.70 


42.62 


61.51 


42.84 


67 


68 


52.85 


42.79 ' 


52.66 


43.02 


62.47 


43.25 


52.28 


43.48 


68 


69 


53.52 


43.42 


53.43 


43.66 


53.24 


43.89 


53.06 


44.12 


69 


70 

71 


54.40 


44.05 1 


54.21 


44.29 


54.01 


44.53 


63.82 


44.76 
45.40 


70 
71 


55.18 


44.68 


54.98 


44.92 


.54.79 


45.16 


54.59 


72 


55.95 


45.31 


55.76 


45.55 


65.. 56 


45.80 


65.36 


46.04 


72 


73 


56.73 


45.94 1 


56.63 


46.19 


56.33 


46.43 


56.13 


46.68 


73 


74 


57.51 


46.57 


57.31 


46.82 


57.10 


47.07 


56.89 


47.32 


74 


75 


58.29 


47.20 


58.08 


47.45 


57.87 


47.71 


167.66 


47.96 


75 


76 


59.06 


47.83 


58.85 


48.09 


68.64 


48.34 


'58.43 


48.60 


76 


77 


59.84 


48.46 


59.63 


48.72 


69.42 


48.98 


1 59.20 


49.24 


77 


78 


60.62 


49.09 


60.40 


49.35 


60.19 


49.61 


59.97 


49.88 


78 


79 


61.39 


49.72 


61.18 


49.98 


60.96 


50.25 


60.74 


60.62 


79 


80 
81 


62.17 


50.35 


61.95 


50.62 


61.73 


50.89 


61.51 


51.16 


80 
81 


62.95 


50.97 


62.73 


51.25 


62.50 


51.52 


62.28 


61.79 


82 


63.73 


51.60 


63.50 


51.88 


63.27 


52.16 


63.04 


52.43 


82 


83 


64.50 


52.23 


64.27 


52.51 


64.04 


52.79 


63.81 


53.07 


83 


84 


65.28 


52.86 


65.05 


53.15 


64.82 


53.43 


64.58 


53.71 


84 


85 


66.06 


.53.49 1 


65.82 


53.78 


65.59 


54.07 


65.35 


64.35 


85 


86 


66.83 


.54.12|i 66.60 


54.41 


66.36 


64.70 


i 66.12 


54.99 


86 


87 


67.61 


54.75 


67.37 


55.06 


67.13 


55.34 


66.89 


65.63 


87 


88 


68. n9 


.55.38 


68.15 


65.68 


67.90 


66.97 


[67.66 


56.27 


88 


89 


69.17 


56.01 


68.92 


56.32 


68.67 


56.61 


168.43 


56.91 


89 


90 
91 


69.94 


56.64 


69.70 


56.94 


69.46 


57.25 


69.20 


57.55 


90 
91 


70.72 


57.27 


70.47 


.57.58 


70.22 


67.88 


69.96 


58.19 


92 


71.50 


57.90 


71.24 


58.21 


70.99 


58.62 


70.73 


58.83 


92 


93 


72.27 


58.. 53 


72.02 


.58.84 


71.76 


59.16 


71.60 


59.47 


93 


94 


73.05 


59.16 


72.79 


59.47 


72.53 


59.79 


72.27 


60.11 


94 


95 


73.83 


.59.79 


73.57 


60.11 


73.30 


60.43 


73.04 


60.76 


95 


96 


74.61 


60.41 


74.34 


60.74 


74.08 


61.06 


73.81 


61.39 


90 


97 


75.38 


61.04 


75.12 


61.37 


74.86 


61.70 


74.68 


62.03 


97 


98 


76.16 


61.67 


76.89 


62.01 


75.62 


62.34 


75.35 


62.66 


98 


99 


76.94 


62.30 


76.66 


62.64 


76.39 


62.97 


76.12 


63.30 


99 


100 


77.71 


62.93 


77.44 


63.27 


77.16 


63.61 


76.88 


63.94 


100 

6 

c 

"cc 

Q 


1 


Dep. 


Lat. 


Dep. 1 Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


CO 


51 Deg. 


50| Deg. 


50i Deg. 


50i Deg. 



82 



TRAVERSE TABLE. 



1 

1 


i 
40 Deg. j 


40^ Deg. 

1 


40i Deg. 


40J Deg. 


O 


Lat. 


Dep. 1 
0.64 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.77 


0.76 


0.65 


0.76 


0.65 


0.76 


0.65 


1 


2 


1.53 


1.29 


1.53 


1.29 


1.52 


1.30 


1.52 


1.31 


2 


3 


2.. 30 


1.93 


2.29 


1.94 i 


2.28 


1.95 


2.27 


1.961 


3 


4 


3.06 


2.57 


3.05 


2.58 


3.04 


2.60 


3.03 


2.61 4| 


5 


3.83 


3.21 


3.82 


3.23 


3.80 


3.25: 


3.79 1 


3.26 


5 


6 


4.60 


3.86; 


4.58 


3.88 


4.. 56 


3.90 : 


4.55 1 


3.92 


6 


7 


5.36 


4.50 


5.34 


4.52 


5.32 


4.55; 


5.30 


4.. 57 


7 


8 


6.13 


5.14 


6.11 


5.17 


6.08 


5.20 i 


6.06 


5.22 


8 


9 


6. 89 


5.79 


6.87 


5.82 


6.84 


5.84 ! 


6.82: 


5.87 


9 


10 


7.66 


6.43 


7.63 


6.46 


7.60 


6.49; 


7. .58 \ 


6.53 


10 
11 


11 


8.43 


7.07! 


8.40 


7.11 


8.36 


7.14 


8.33 


7.18 


12 


9.19 


7.71 i 


9.16 


7.75 1 


9.12 


7.79 


9.09, 


7.83 12 


13 


9.96 


8.36! 


9.92 


8.40 


9.89 


8.44 


9.85 


8.49 , 13 


14! 10.72 


9.00 


10.69 


9.05 


10.65 


9.09 


10.61; 


9.14! 14 


1.5 


11.49 


9.64 


11.45 


9.69 


11.41 


9.74 


11.36] 


9.79 1 15 


16 


12.26 


10.28 


12.21 


10.34 


12.17 


10.39 


12.12! 


10.44 1 16 


17 


13.02 


10.93 


12.97 10.98 


12.93 


11.04 


12.88; 


11.10 ' 17 


IS 


13.79 


11.57 


13.74 


11.63 


13.69 


11.69 


13.64 


11.75 ! 18 


19 '■ 14.55 


12.21 


14.50 


12.28 


14.45 1 12.34 


14.39 


12.40 19 


20 ! 15.32 


12.86 
13.50 


15.26 


12.92 


15.21 


12.99 
13.64 


15.15 
15.91 


13.06 20 
13.71 : 21 


21 1 16.09 


16.03 13.57 


15.97 


22 


16.85 


14.14 


16.79 


14.21 


16.73 


14.29 


16.67 


14.36 1 22 


23 


17.62 


14.78 


17.55 


14.86 


17.49 


14.94 


17.42 


15.01 ; 23 


24 


18.39 


15.43: 


18.32 


15.51 


18.25 


15.. 59 


13.18 


15.67; 24 


25 


19.15 


16.07; 


19.08 


16.15 


19.01 


16.24 


18.94 


16.32, 25 


26 


19.92 


16.71 1 


19.84 


16.80 


19.77 


16.89 


19.70 


16.97! 26 


27 


20.63 


17.36: 


20.61 


17.45 


20.53 1 17.54 


20.45 


17.62. 27 


28 


21.45 


18.00: 


21.37 


18.09 


21.29 1 18.18 


21.21 


18.28 1 28 


29 22 .22 


18.64 


22.13 i 18.74 


22.05 i 18.83 


21.97 


18.93 29 


30 , 22.98 


19.23 


22.90 ; 19.38 
23.66 120.03 


22.81 ! 19.48 ' 
23.57, 20.13 


22.73 


19.58 30 


31 23.75 


19.93 


23.43 


20.24 31 


32 


24.51 


20.57 


24.42 


20.68 


24.33 i 20.78 


24.24 


20.89 


32 


33 


25.23 


21.21 1 


25.19 


21.32 


25.09 


21.43 


25.00 


21.54 


33 


34 


26.05 


21.85 


25.95 


21.97 


25.85 


22.08 


25.76 


22.19 


34 


3.^ 


26.81 


22.50 


26.71 


22.61 


26.61 


22.73 


26.51 


22.85 


35 


36 


27.58 


23.14 


27.43 


23.26 


27.37 


23.38 


27.27 


23.50 


36 


37 '28.34 


23.78 


23.24 


23.91 


28.13 


24.03 


28.03 


24.15 


37 


38 : 29.11 


24.43 


29.00 


24.55 


28.90 


24.68 


23.79 


24.80 


38 


39 1 29. S3 


25.07 


29.77 


25.20 


29.66 


25.33 


29.. 54 


25.46 


39 


40 : 30.64 

41 131.41 


25.71 
26 . 35 


30 . 53 


25.84 


1 30.42 


25.93 


30.30 
! 31.06 


26.11 
26.76 


40 
41 


31.29 


26.49 


1 31.18 


26.03 


42 


32.17 


27.00 


32.06 


27.14 


31.94 


I 27.23 


131.82 


27.42 


42 


43 


32.94 


27.64 


1 32.82 127.78 


132.70 


: 27.93 


32.. 58 


28.07 


43 


44 


33.71 


28.23 


! 33.58 j 28.43 


133.46 


'28.53 


.33.33 


28.72 


44 


45 


34.47 


28.93 


! 34.35 129.03 


1 34.22 


1 29.23 


34.09 


29.37 


45 


46 


35.24 


29.57 


35.11 


29.72 


1 34.98 


, 29.87 


34.85 


30.03 


, 46 


47 


36.00 


. 30.21 


35.87 


30.37 


35.74 


,30.52 


j 35.61 


30. C3 


47 


48 


36.77 


1 30.85 


! 36.64 


31.01 


136.50 


; 31.17 


36.36 


31.33 


! 48 


49 


37.54 


31.50 


i 37.40 


31.66 


■ 37.26 


31.82 


37.12 


31.99 


1 'i9 


,50 1 38 . 30 


32.14 


1 38.16 


32.31 


,38.02 


32.47 


37.88 


32.64 


1,50 


i 

-2 


Dep. 


Lat. 


; Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


! g 

i 


50 


Deg. 


i 49| Deg. 


49i Deg. 


49-: 


Deg. 



TRAVERSE TABLE. 



83 



5 

51 


40Deg. 


40i Deg. 


40i Deg. 


40J Deg. 




55' 





Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


39.07 


32.78 


38.92 


32.95 


38 . 78 


33.12 


38.64 


33.29 


51 


52 


39.83 


.33.42 


.39.69 


33.60 


39.-54 


33.77 


39 . 39 


33.94 


52 


53 


40.60 


34.07 


40.45 


34.34 


40.. 30 


34.42 


40.15 


34.60 


53 


54 


41.37 


34.71 


41.21 


34.89 


41.06 


35.07 


40.91 


35.25 


54 


55 


42.13 


35.35 


41. 9S 


35 . 54 


41.82 


35.72 


41.67 


35.90 


55 


56 


42.90 


36.00 


42.74 


.36.18 


I42..58 


36.37 


42.42 


36 . 55 


56 


57 


43.66 


36.64 


43.. 50 


36.83 


43.34 


37.02 


43.18 


37.21 


57 


58 


44.43 


37.28 


44.27 


37.48 


44.10 


37.67 


43.94 


37.86 


58 


59 


45.20 


37.92 


45.03 


.38.12 


44.86 


38.32 


44.70 


38.51 


59 


r.o 

61 


45,96 


38 . 57 


45.79 


38.77 


! 45.62 


38.97 


45.45 


39.17 


60 


46.73 


.39.21 


46 . 56 


39.41 


j 46.38 


39.62 


46.21 


39.82 


61 


62 


47.49 


39.85 


47.32 


40.06 


47.15 


40.27 


46.97 


40.47 


62 


63 


48.26 


40.50 


48.08 


40.71 


47.91 


40.92 


147.73 


41.12 


63 


64 


49.03 


41.14 


48.85 


41.35 


48.67 


41.56 


48.48 


41.78 


64 


65 


49.79 


41.78 


49.61 


42.00 


49.43 


42.21 


49.24 


42.43 


65 


66 


.50.56 


42.42 


50.. 37 


42.64 


50.19 


42.86 


50.00 


43.08 


66 


67 


51.32 


43.07 


51.14 


43.29 


50.95 


43.51 


50.76 


43.73 


67 


6S 


.52.09 


43.71 


51.90 


43.94 


51.71 


44.16 


51.51 


44.39 


68 


69 


52.86 


44.. 35 


52.66 


44.58 


52.47 


44.81 


.52.27 


45.04 


69 


70 

71 


53.62 
.54.39 


45.00 


.53.43 


45.23 


53.23 


45.46 


53.03 


45.69 


70 
71 


45.64 1 


.54.19 


45.87 


53.99 


46.11 


53.79 


46.. 35 


72 


.55.16 


46.28 


.54.95 


46.52 


54.75 


46.76 


54.. 54 


47.00 


72 


73 


.55.92 


46.92 


.55.72 


47.17 


55.51 


47.41 


55.30 


47.65 


73 


74 


56.69 


47.57 


56.48 


47.81 


56.27 


48.06 


56.06 


48.. 30 


74 


75 


.57.45 


48.21 


57.24 


48.46 


57.03 


48.71 


56.82 


48.96 


75 


76 


58 . 22 


48.85 


'58.01 


49.11 


57.79 


49.36 


.57.57 


49.61 


76 


77 


.58.99 


49.49 


.58.77 


49.75 


58.55 


50,01 


.58.33 


50.26 


77 


78 


.59.75 


50.14 


.59., 53 


,50.40 


59.31 


50.66 


59.09 


50.92 


78 


79 


60.. 52 


50.78 


60.30 


51.04 


60.07 


51.31 


.59.85 


51.57 


79 


80 

8i 


61.28 


51.42 


61.06 


51.69 


60.83 


51.96 


60.61 


52.22 


80 
81 


62.05 


52.07 


61.82 


52.34 


61,59 


52.61 


61.36 


52.87 


82 


62.82 


52.71 


62.59 


52.98 


62.35 


53.25 


62.12 


53.. 53 


82 


83 


63.. 58 


53.35 


63.35 


.53.63 


63.11 


.53,90 


62.88 


54.18 


83 


84 


64.35 


53.99 


64.11 


54.27 


63.87 


54.55 


63.64 


54.83 


84 


85 


65.11 


54.64 


64.87 


.54.92 


64.63 


55.20 


64.39 


55.48 


85 


86 


65.88 


55.28 


65.64 


55,57 


65.39 


55.85 


65.15 


56.14 


86 


87 


66.65 


55.92 


66.40 


56.21 


66.16 


56.50 


65.91 


.56.79 


87 


88 


67.41 


56.57 


67,16 


56.86 


66.92 


57.15 


66.67 


57.44 


88 


89 


68.18 


57.21 


67.93 


57.50 


67.68 


57.80 


67.42 


58.10 


89 


90 
91 


68.94 


57.85 


68.69 


58.15 


68.44 


58.45 


68.18 


58.75 


90 


69.71 


58.49 


69.45 


53.80 1 


69.20 


59.10 


68.94 


59.40 


91 


92 


70.48 


59.14 


70.22 


59.44! 


69.96 


59.75 


69.70 


60.05 


92 


93 


71.24 


59 . 78 


70.98 


60.09 1 


70.72 


60.40 


70.45 


60.71 


93 


94 


72.01 


60.42 


71.74 


60.74 


71.48 


61.05 


71.21 


61.36 


94 


95 


72.77 


61.06 


72.51 


61.38 


72,24 


61.70 


71.97 


62.01 


95 


96 


73.. 54 


61.71 


73.27 


62.03 


73.00 


62.35 


72.73 


62.66 


96 


97 


74.31 


62.. 35 


74.03 


62.67 


73.76 


63.00 


73.48 


63.32 


97 


98 


75.07 


62.99 


74.80 


63.32 


74.. 52 


63.65 


74.24 


63.97 


98 


99 


75.84 


63.64 


75.56 


63.97 


75.28 


64.30 


75.00 


64.62 


99 


100 

§ 

c 

ei 
.2 

Q 


76.60 


64.28 


76.32 


64.61 


76.04 


64.94 


75.76 


65.28 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


c 

Hi 

Q 


50 Deg. 


49| D'eg. 


49^ Deg. 


49i Deg. 



84 



TRAVERSE TABLE. 



p 

3 
O 

o 

1 


41 


Deg. j 


4U D6g. 


4U Deg. 


4U Deg. 


1 

3 
1 


Lat. 


1 Dep. 


Lat. 


Dep. 
0.66 


1 Lat. 

1 


Dep. 


Lat. Dep. 


0.75 


0.66' 


0.75 


0.75 


0.66 


0.75 0.67 


2 


1.51 


' 1.31 


1.50 


1.32 


■ 1.50 


1.33 


1.49 1 1.33 


2 


3 


2.26 


1.97 


2.26 


1.98 


2.25 


1.99 


2.24 i 2.00 


3 


4 


3.02 


2.62 


3.01 


2.64 


3.00 


2.65 


2.98 1 2.66 


4 


5 


3.77 


3.28 


3.76 


3.30 


i 3.74 


3.31 


3.73 1 3.33 


5 


6 


4.53 


3,94 


4.51 


3.96 


4.49 


3.98 


4. '18' 4.00 


6 


7 


5.28 


4.59 


5.26 


4.62 


5.24 


4.64 


5.22 4.66 


7 


8 


6.04 


5.25 


6.01 


5.27 


5.99 


5.30 


5.97- 5.33 


8 


9 


6.79 


5.90 


6.77 


5.93 


6.74 


5.96 


6.71 \ 5.99 


9 


10 
11 


7.55 


6.56 


7.52 


6.59 


7.49 6.63 


7.46' 6.66 


10 
11 


8.30 


7.22 


8.27 


7.25 


' 8.24 
1 8.99 


7.29 


8.21 7.32 


12 


9.06 


7.87 


9.02 


7.91 


7.95 


8.95 7.99 


12 


13 


9.81 


8.53^ 


9.77 


8.57 


9.74 


8.61 


9.70 8.66 


13 


14 


10.57 


9.18 


10.53 


9.23 


10.49 


9.28 


10.44! 9.32 


14 


15 


11.32 


9.84- 


11.28 


9.89 


11.23 9.94 


11.19, 9.99 


15 


16 


12.08 


10.. 50 


12.03 


10.55 


11.98 10.60 


11.94 10.65 


16 


17 


12.83 


11.15 


12.78 11.21 


12.73 ! 11.26 


12.68 11.32 


17 


18 


13.58 


11.81 


13.53 ■ 11.87 


13.48 1 11.93 


13.43 11.99 


18 


19 


14.34 


12.47 


14.28 12.53 


14.23 ' 12.59 


14,18 12.65 


19 


20 
21 


15.09 


13.12 
13.78 


15.04 13.19 
15.79 i 13.85 


14.98 • 13.25 
15.73 ; 13.91 


14.92 . 13.32 
15.67 13.98 


20 
21 


15.85 


22 


16.60 


14.43 


16.54 ! 14.51 


16.48 ' 14.58 


16.41 14.65 


22 


23 


17.36 


15.09 


17.29 ! 15.16 


17.23 ' 15.24 


17.16 15.32 


23 


24 


18.11 


15.75 j 


18.04! 15.82 


17.97 i 15.90 


17.91 ■' 15.98 


24 


25 


18.87 


16.40 


18.80 i 16.48 


18.72 ! 16.57 


18.65 : 16.65 


25 


26 


19.62 


17.06 


19.55; 17.14 


19.47 i 17.23 


19.40 17.31 


26 


27 


20.38 


17.71 


20.30 j 17.80 


20.22 i 17.89, 


20.14' 17.98 


27 


28 


21.13 


18.37 


21.05 1 18.46 


20.97 ' 18. .55] 


20.89 18.64 


28 


29 


21.89 


19.03 


21.80 i 19.12 


21.72 19.22 ■ 


21.64, 19.31 


29 


30 
31 


22.64 
23.40 


19.68 : 
20.34 


22.56 j 19.78 
23.31120.44 


22.47 19.88 
23.22 20.. 54 


22.38 19.98 


30 

31 


23.13 ; 20.64 


32 


24.15 


20.99 


24.06 1 21.10 


23.97 1 21.20 


23.87 21.31 


32 


33 


24.91 


21.65 


24.81 ! 21.76 


24.72 121.87 


24.62 21.97 


33 


34 


25.66 


22.31 


25.56 22.42 


25.46 22.53 


25.37 22.64 


34 


35 


26.41 


22.06 


26.31 


23. OS 


26.21 23.19 


126.11 23.31 


35 


36 


27.17 


23.62 


27.07 


23.74 


26.96 23.85 


126.86 23.97 


36 


37 


27.92 


24.27 


27.82 


24.40 


27.71 


24.52 


127.60 24.64 


37 


38 


28.68 


24.93 


28.57 


25.06 


2S.46 


25.18 


128.35 25.30 


38 


39 


29.43 


25.59 


29.32 


25.71 


29.21 


25.84 


29.10 : 25.97 


39 


40 
41 


30.19 
30.94 


26.24 
26.90 


30.07 


26.37 


29.96 


26.. 50 


29.84 26.64 


40 

41 


30.83 


27.03 


30.71 


27.17 


30.59 27.30 


42 


31.70 


27.55 


31.58 


27.69 


31.46 


27.83 


31.33 27.97 


42 


43 


32.45 


28.21 


32.33 


23.35 


32.21 


28.49 


32.08 28.63 


43 


44 


33.21 


28. S7 


33.08 


29.01 


32.95 


29.16 


132.83 29.30 


44 


4o 


33.96 


29.52 


33.83 j 29.67 


33.70 


29.82 


•33.57 29.97 


45 


46 


34.72 


30.18 


34.58 1.30.33 


34.45 


30.48 


34.32 30.63 


46 


47 


35.47 


30.83 


35.34 130.99 


35 . 20 


31.14 


35.06 31.30 


47 


AS 


36.23 


;31.49 


36.09 1 31.65 


35 . 95 


31.81 


35.81 131.96 


48 


49 


36.98 


32.15 


36.84 32.31 


36.70 


32.47 


36. .56 32.63 


49 


_50 

.2 


37.74 


32.80 
! Lat. 


37.59 [32.97 


, 37.45 
Dep. 


33.13 
Lat. 


37.30 1.33.29 


50 

3 


Dep. 


Dep. 


Lat. 


Dep. ! Lat. 


49 Deg. 


481 


Deg. 


4Sh 


Deg. 


48i Deg. 



TRAVERSE TABLE. 



85 



5 
p 

3 
n 
o 

51 


41 Deg. 


4U Deg. 


41i Deg. 


411 Deg. 


9 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


38.49 


33.46 


38.34 1 33.ti3 


38.20 


33.79 


38.05 


33.96 


51 


52 


39.24 


34.12 


39.10 34.29 


38.95 


34.46 


38.79 


34.63 


52 


53 


40.00 


34.77 


39.85 


34.95 


39.69 


35.12 


39.54 


35.29 


53 


54 


40.75 


35.43 


40.60 


35 . 60 


40.44 


35.78 


40.29 


35.96 


54 


55 


41.51 


36.08 


41.35 


36.26 


41.19 


36.44 


41.03 


36.62 


55 


56 


42.26 


36.74 


42.10 


36.92 


41.94 


37.11 


41.78 


37.29 


56 


57 


43.02 


37.40 


42.85 


37.58 


42.69 


37.77 


42.53 


37.96 


57 


58 


43.77 


38.05 


43.61 


38.24 


43.44 


38.43 


43.27 


38.62 


58 


59 


44.53 


38.71 


44.36 


38.90 


44.19 


39.09 


44.02 


39.29 


59 


60 
61 


45-28 


39.36 


45.11 


39.56 


44.94 
45.69 


39.76 


44.76 


39.95 


60 
61 


46.04 


40.02 


45.86 


40.22 


40.42 


45.51 


40.62 


62 


46.79 


40.68 


46.61 


40.88 


46.44 


41.08 


46.26 


41.28 


62 


63 


47.55 


41.33 


47.37 


41.54 


47.18 


41.75 


47.00 


41.95 


63 


64 


48.30 


41.99 


48.12 


42.20 


47.93 


42.41 


47.75 


42 . 62 


64 


65 


49.06 


42.64 


48.87 


42.86 


48.68 


43.07 


48.49 


43.28 


65 


66 


49.81 


43.30 


49.62 143.52 


49.43 


43.73 


49.24 


43.95 


66 


67 


50.57 


43.96 


50.37 


44.18 


50.18 


44.40 


49.99 


44.61 


67 


68 


51.32 


44.61 


51.13 


44.84 


50.93 


45.06 


50.73 


45.28 


68 


69 


52.07 


45.27 1 


51.88 


45.49 


51.68 


45.72 


51.48 


45.95 


69 


70 
71 


52.83 


45.92 1 


52.63 


46.15 


52.43 


46 . 38 


52.22 


46.61 


70 


53.58 


46.58 1 


53.38 146.81 


53.18 


47.05 


.52.97 


47.28 


71 


72 


54.34 


47.24 


54.13 


47.47 


.53.92 


47.71 


53.72 


47.94 


72 


73 


55.09 


47.89 


54.88 


48.13 


54.67 


48.37 


54.46 


48.61 


73 


74 


55.85 


48.55 


55.64 


48.79 


55.42 


49.03 


55.21 


49.28 


74 


75 


56.60 


49.20 


56.39 


49.45 


56.17 


49.70 


55.95 


49.94 


75 


76 


57.36 


49.86' 


57.14 


50.11 


56.92 


50.36 


56.70 


50.61 


76 


77 


58.11 


50.52 


.57.89 


50.77 


57.67 


51.02 


.57.45 


51.27 


77 


78 


58.87 


51.17 


.58.64 


51.43 


58.42 


51.68 


58.19 


51.94 


78 


79 


59.62 


51.83 


59.40 


52.09 


59.17 


52.35 


58.94 


52.60 


79 


80 
81 


60.38 


52.48 


60.15 


52.75 


59.92 


53.01 


59.68 


53.27 


80 


61.13 


53 . 14 1 


60.90 


53.41 


60.67 


53.67 


60.43 


53.94 


81 


82 


61.89 


53.80 


61.65 


54.07 


61.41 


54.33 


61.18 


54.60 


82 


S3 


62.64 


54.45 


62.40 


.54.73 


62.16 


.55.00 


61.92 


.55.27 


83 


84 


63.40 


55.11 


63.15 


55.38 


62.91 


55.66 


62.67 


55.93 


84 


85 


64.15 


55.76 


63.91 


56.04 


63.66 


56.32 


63.41 


56.60 


85 


86 


64.90 


56.42 


64.66 


56.70 


64.41 


56.99 


64.16 


57.27 


86 


87 


65.66 


57.08 


65.41 


57.36 


65.16 


57.65 


1 64.91 


57.93 


87 


88 


66.41 


57.73 


66.16 


58.02 


65.91 


58.31 


1 65.65 


.58.60 


88 


89 


67.17 


58.39 


66.91 


58.68 


66.66 


58.97 


166.40 


59.26 


89 


90 
91 


67.92 


59.05 


67.67 


59.34 


67.41 


59.64 
60.30 


167.15 


59 . 93 


90 
91 


68 . 68 


59 . 70 


68.42 


60.00 Ij 68.15 


67.89 


60.60 


92 


69.43 


60 . 36 


69.17 


60.66 


68.90 


60.96 


68.64 


61.26 


92 


93 


70.19 


61.01 


69.92 


61. .32 


69.65 


61.62 


69.38 


61.93 


93 


94 


70.94 


61.67 


70.67 


61.98 


70.40 


62.29 


70.13 


62.59 


94 


95 


71.70 


62.33 


71.43 


62.64 


71.15 


62.95 


70.88 


63.26 


95 


96 


72.45 


62.98 


72.18 


63.30 


71.90 


63.61 


71.62 


63.92 


96 


97 


73.21 


63.64 


72.93 


63.96 


72.65 


64.27 


72.37 


64.59 


97 


98 


73.96 


64.29 


73.68 


64.62 


73.40 


64.94 


73.11 


65.26 


98 


99 


74.72 


64.95 


74.43 


65.28 


74.15 


65.60 


73.86 


65.92 


99 


lUO 

6 

V 

3 


75.47 


65.61 


75.18 


65.93 


74.90 


66.26 


74.61 


60.59 


100 

0)' 

o 

a 

ai 

.2 

O 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


49 Deg. 


48| Deg. 


48i Deg. 


48i Deg. 



86 



TRAVERSE TABLE. 



3 


42 Deg. 


42i Deg. 


42^ Deg. 


421 Deg. 


1 

1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.74 


0.67 


0.74 


0.67 


0.74 


0.68 


0.73 


0.68 


2 


1.49 


1.34 


1.48 


1.34 


1.47 


1.35 


1.47 


1.36 


2 


3 


2.23 


2.01 


2.22 


2.02 


2.21 


2.03 


2.20 


2.04 


3 


4 


2.97 


2.68 


2.96 


2.69 


2.95 


2.70 


2.94 


2.72 


4 


5 


3.72 


3.35 


3.70 


3.36 


3.69 


3.38 


3.67 


3.39 


5 


6 


4.46 


4.01 


4.44 


4.03 


4.42 


4.05 


4.41 


4.07 


6 


7 


5.20 


4.68 


5.18 


4.71 


5.16 


4.73 


5.14 


4.75 


7 


8 


5.95 


5.35 


5.92 


5.38 


5.90 


5.40 


5.87 


5.43 


8 


9 


6.69 


6.02 


6.66 


6.05 


6.64 


6.08 


6.61 


6.11 


9 


10 


7.43 


6.69 


7.40 


6.72 


7.. 37 


6.76 


7.. 34 


6.79 


10 


11 


8.17 


7.36 


8.14 


7.40 


8.11 


7.43 


8.08 


7.47 


11 


12 


8.92 


8.03 


8.88 


8.07 1 


8.85 


8.11 


8.81 


8.15 


12 


13 


9.66 


8.70 


9.62 


8.74 


9.58 


8.78 


9.55 


8.82 


13 


14 


10.40 


9.37 


10.36 


9.41 


10.32 


9.46 


10.28 


9.50 


14 


15 


11.15 


10.04 


11.10 


10.09 


11.06 


10.13 


11.01 


10.18 


15 


16 


11.89 


10.71 


11.84 


10.76 


11.80 


10.81 


11.75 


10.86 


16 


17 


12.63 


11.38 


12.58 


11.43 


12.53 


11.48 


12.48 


11.54 


17 


18 


13.38 


12.04 


13.32 


12.10 


13.27 


12.16 


13.22 


12.22 


18 


19 


14.12 


12.71 


14.06 


12.77 


14.01 


12.84 


13.95 


12.90 


19 


20 


14.86 


13.38 


14.80 


13.45 


14.75 


13.51 


14.69 


13.. 58 


20 


21 


15.61 


14.05 


15.54 


14.12 


15.48 


14.19 


15.42 


14.25 


21 


22 


16.35 


14.72 


16.28 


14.79 


16.22 


14.86 


16.16 


14.93 


22 


23 


17.09 


15.39 


17.02 


15.46 


16.96 


15.54 16.89 


15.61 


23 


24 


17.84 


16.00 


17.77 


16.14 


17.69 


16.21 


17.62 


16.29 


24 


25 


18.58 


16.73 


18.51 


16.81 


18.43 


16.89; 


18.36 


16.97 


25 


26 


19.32 


17.40 


19.25 


17.48 


19.17 


17.57; 


19.09 


17.65 


26 


27 


20.06 


18.07 


19.99 


18.15 


19.91 


18.24 1 


19.83 


18.33 


27 


28 


20.81 


18.74 


20 . 73 


18.83 


20.64 


18.92 


20.56 


19.01 


28 


29 


21.55 


19.40 


21.47 


19.50 


21.38 


19.59 


21.30 


19.69 


29 


30 


22.29 


20.07 


22.21 


20.17 


22.12 


20.27 


22.03 


20.. 36 


30 


31 


23.04 


20.74 


22.95 


20.84 


22.86 


20.94 


22.76 


21.04 


31 


32 


23.78 


21.41 


23.69 


21.52 


23.59 


21.62 


23.50 


21.72 


32 


33 


24.52 


22.08 


24.43 


22.19 


24.33 


22.29 


24.23 


22.40 


33 


34 


25.27 


22.75 


25.17 


22.86 


25.07 


22.97 


24.97 


23.08 


34 


35 


26.01 


23.42 


25.91 


23.53 


25.80 


23.65 


25.70 


23. 7« 


35 


36 


26.75 


24.09 


26.65 


24.21 


26.54 


24.32 


26.44 


24.44 


36 


37 


27.50 


24.76 


27.39 


24.88 


27 . 28 


25 . 00 


27.17 


25.12 


37 


38 


28.24 


25.43 


28.13 


25.. 55 


28.02 


25.67 


27.90 


25.79 


38 


39 


28.98 


26.10 


28.87 


26.22 


28 . 75 


26.35 


28.64 


26.47 


39 


40 


29.73 


26.77 


29.61 


26 . 89 


29.49 


27.02 


29.37 


27.15 


40 


41 


30.47 


27.43 


30.35 


27.57 


30 . 23 


27.70 


30 . IL 


27.83 


41 


42 


31.21 


28.10 


31.09 


28.24 


30.97 


28.37 


30.84 


28.51 


42 


43 


31.96 


28.77 


31.83 


28.91 


31.70 


29.05 


31.. 58 


29.19 


43 


44 


32.70 


29.44 


32.57 


29.58 


32.44 


29 . 73 


32.31 


29.87 


44 


45 


33.44 


30.11 


33.31 


30.26 


33.18 


30.40 


33.04 


.30.. 55 


45 


46 


34.18 


30.78 


34.05 


30.93 


33.91 


31.08 


33.78 


31.22 


46 


47 


34.93 


31.45 


34.79 


31.60 


34.65 


31.75 


134.51 


31.90 


47 


48 


35.67 


32.12 


35.53 


32.27 


35.39 


32.43 


35.25 


32.. 58 


48 


49 


36.41 


32.79 


36.27 


32.95 


36.13 


33.10 


35.98 


33.26 


49 


50 


37.16 


33.46 


37.01 


33.62 


36.86 


33.78 


36 . 72 


.33.94 


50 


03 
O 

■s 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


03 
O 


48 Deg. 


471 Deg. 


47i Deg. 


47^ Deg. 



TRAVERSE TABLE. 



87 



D 
S" 

3 
o 
a 

~5l 


42 Deg. 


m Dog. 


42i Deg. 


42i Deg. 


3 
o 
o 

"51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


37.90 


34.13 


37.75 


34.29 


37.60 


34.46 


37.45 


34.62 


52 


33.64 


34.79 


38.49 


34.96 


38.34 


35.13 


38.18 


35.30 


52 


53 


39.39 


35.46 


39.23 


35.64 


39.08 


35.81 


38.92 


35.98 


53 


54 


40.13 


36.13 


39.97 


36.31 


39.81 


36.48 


39.65 


36.66 


54 


55 


40.87 


36.80 


40.71 


36.98 


40.55 


37.16 


40.39 


37.33 


55 


56 


41.62 


37.47 


41.45 


37.65 


41.29 


37.83 


41.12 


38.01 


56 


57 


42.36 


38.14 


42.19 


33.32 


42.02 


38.51 


41.86 


38.69 


57 


58 


43.10 


38.81 


42.93 


39.00 


42.76 


39.18 


42.59 


39.37 


58 


59 


43.85 


39.48 


43.67 


39.67 


43.50 


39.86 


A'S.S'Z 


40.05 


59 


60 
61 


44.59 


40.15 


44.41 


40.34 


44.24 


40.54 


44.06 


40.73 


60 
61 


45.33 


40.82 


45.15 


41.01 


44.97 


41.21 


44.79 


41.41 


63 


46.07 


41.49 


45.89 


41.69 


45.71 


41.89 


45.53 


42.09 


62 


63 


46.82 


42.16 


46.63 


42.36 


46.45 


42.56 


46.26 


42.76 


63 


64 


47.56 


42.82 


47.37 


43.03 


47.19 


43.24 


47.00 


43.44 


64 


65 


48.30 


43.49 


48.11 


43.70 


47.92 


43.91 


47.73 


44.12 


65 


66 


49.05 


44.16 


43.85 


44.33 


48.66 


44.59 


48.47 


44.80 


66 


67 


49.79 


44.83 


49.59 


45.05 


49.40 


45.26 


49.20 


45.48 


67 


63 


50.53 


45.50 


50.33 


45 . 72 


50.13 


45.94 


49.93 


46.16 


68 


69 


51.23 


46.17 


51.07 


46.39 


50.87 


46.62 


50.67 


46.84 


69 


70 
71 


52.02 


46.84 


51.82 


47.07 


51.61 


47.29 


51.40 


47.52 


70 
71 


52.76 


47.51 


52.56 


47.74 


152.35 


47.97 


.52.14 


48.19 


72 


53.51 


48.18 


53.30 


43.41 


53.08 


48.64 


52.87 


48.87 


72 


73 


54.25 


48.85 


54.04 


49.08 


53.82 


49.32 


53.61 


49.. 53 


73 


74 


54.99 


49.52 


54.78 


49.76 


54.56 


49.99 


54.34 


.50.23 


74 


75 


55.74 


50.18 


55.52 


50.43 


55.30 


50.67 


55.07 


.50.91 


75 


76 


56.43 


50.85 


56.26 


51.10 


56.03 


51.34 


55.81 


51.59 


76 


77 


57.22 


51.52 


57.00 


51.77 


56.77 


.52.02 


56.. 54 


52.27 


77 


78 


57.97 


52.19 


57.74 


52.44 


57.51 


52.70 


.57.28 


52.95 


78 


79 


58.71 


52.86 


58.48 


53.12 


58.24 


53.37 


58.01 


.53.63 


79 


80 
81 


59.45 


53.53 


59.22 


53.79 


.58.98 


54.05 


58 . 75 


54.30 


80 
81 


60.19 


54.20 


59.96 


54.46 


59 . 72 


54.72 


i 59.48 


54.98 


82 


60.94 


54.87 


60.70 


55.13 


60.46 


55.40 


60.21 


55.66 


82 


63 


61.68 


55.54 


61.44 


55.81 


61.19 


56.07 


60.95 


56.. 34 


83 


84 


62.42 


56.21 


62.18 


56.48 


61.93 


56.75 


61.68 


57.02 


84 


85 


63.17 


56.88 


62.92 


57.15 


62.67 


57.43 


62.42 


57.70 


85 


86 


63.91 


57.. 55 


63.66 


57.82 


63.41 


58.10 


63.15 


.53.38 


86 


87 


64.65 


58.21 


64.40 


.58.50 


64.14 


58.78 


63.89 


59.06 


87 


88 


65.40 


58.88 


65.14 


59.17 


64.88 


59.45 


64.62 


59.73 


88 


89 


66.14 


59.55 


65.88 


.59.84 


65.62 


60.13 


65.35 


60.41 


80 


90 
91 


66.88 


60.22 


66.62 


60.51 


66.35 


60.80 


166.09 


61.09 


90 
~9T 


67.63 


60.89 


67.36 


61.19 


67.09 


61.48 


66.82 


61.77 


92 


68.. 37 


61.56 


68.10 


61.86 


67.83 


62.15 


67.. 56 


62.45 


92 


93 


69.11 


62.23 


68.84 


62.53 


68.57 


62.83 


68.29 


63.13 


93 


94 


69.86 


62.90 


69.58 


63.20 


69.30 


63.51 


69.03 


63.81 


94 


95 


70.60 


63.57 


70.32 


63.87 


70.04 


64.18 


69.76 


64.49 


95 


96 


71.34 


64.24 


71. OP 


64.55 


70.78 


64.86 


70.49 


65.16 


96 


97 


72.08 


64.91 


71. PO 


65.22 


71,52 


65.53 


71.23 


65.84 


97 


93 


72.83 


65.57 


72.54 


65.89 


72.25 


66.21 


71.96 


66.52 


98 


99 


73.57 


66.24 


75.28 


66.56 


72.99 


66.88 


72.70 


67.20 


99 


100 

6 
o 
G 

s 

CO 


74.31 


68.91 


^4.02 


67.24 


73.73 


67.56 


73.43 


67.88 


100 

6 
o 
c 

td 

.2 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


■ 

48 Deg. 


471 Deg. 


47i Deg. 


47i Deg. 



88 



TRAVERiZ TABLE. 



1 

C 43 Dej. 43^ Dez, 


43: D 


^• 


43iDeg. : 3I 


«"t 










2_ 


= 


Lat. ! Dep. Li:. Dep 


Li:. 


Dep. 


Lat. 


Dep. 


z 


1 


0.73 0.6S '-• .~'o L'.oc- 


V . "^ ,^^ 




0.72 


0.69 


1 


2' 1.46 1.36 1.46 


1.37 






1.44 


1.38 


.-> 


3: 2.19. 2.05 2.19 


2 . '.' 6 


, 






2.17 


2.07 


3 


4; 2.93. 2.73 - r- 


2.^1- 


, 




2 . 75 


2.89 


2.77 


4 


5 


3.66 1 3.4- .--- 


.; . _: 






■; . 44 


3.61 3.46 


5 


6 


4.39 4.09 4.; 


4.1- 


- 


.:: : 


-r . ; 3 


4.3^] 4.15 


6 




5.12 4.77 5.10 


4 . S ■.' 


.J 


. ^ 


^ , -, 


5.06 


4.84 


7 


« 


5. So 5.46 5.-3 


5.4S 





"• _ 




5.78 


5.63 


A 





•-\=S 6. 14 6.56 


D . - , 


■"• 




-^ ■■ 


6.50 


6.22 


9 




~ .\ . 6 . S 2 7.2s 


6.S5 


~ 


■, - 


- , -- 


7.22 


6 92 


10 


^ . - 7 . 50 S .01 


7 . .54 


- 


-^ 


- - ^ 


7.95 


7.61 


11 




- , ^t' f . !"■ > , ~ - 


S . 2 2 


« 


^ 


- ■" - 


S.67 


8.30 


12 




- . ' '. i . ^~ -- . -* 


^ . r 1 


-f 


^: 


« ^ ' 


9.39 


8.99 


13 




' . . ', ^ - . ■: ' 1 - . , - 


:• . ■: r 






" ■ ' — 


10.11 9.63'. 14 


" - 


- . . r . - . ~ ;■ - . . r •: 


. ', ^ 




■•^ 


■ ■: t 


10.84- 10.37 15 




, ■ . "... - 1 1 1 . ■: •: 










il.56 11.06 16 




- - ' ' ." ^ " C . 3 ■" 


1 1 . : ■: 








12.28 11.76 17 




•2.2- 13.11 


-2.3 3 






, , ■ "■ 


13.00 12.45 IS 




' .^ 12.^6 13. S4 


- 3 . '.' 2 




^r 


,; . _ - 


13.72 13.14 19 


2 . 


:.,-; 13.64 14.57 


13.70 


14 


■: - 


1 . " 


14.4.5 13.83 20 




IM: 14.32 1^.3.' 


14.39 


1.5 


•; : 


_ _-. 


15.17 14. .52 21 


2'1 


- : . r - : - - -'-■-'- 


'.'.-"" 






': . 14 


15.89 15.21 22 


•1 .:■ 


: ; r _ - r 


' - "■ - 






- . S3 


16.61 15.90 23 


'Z^ 


-" : : l: . 1~ l"" .-=^ 




1^ 


-^1 




I7.:34 


16.6':» 24 


•, ' 


- " . . " ... •: -■'.,- 










_ > . : 


- •; :- ■; 5 


•1: 


11.-, 1~.73 I'^.^-r 17. SI 


1 V 


^: 


~ . : _ 


1 ^ . " :■ 


- "" . r ^ 26 


2 7 


- . 1 5 : > . 4 - .' ^ ' 




: - 


- . r r 


- r . ■: - 


^ . - , ■, / 


•■^> 


20. 4S 19.10 1- ..:r .l,lr 


■' 




^ ■' - 


2 - .2 :■ 


lr.3^ 2S 


29 21.21 13. 7S -..1, :^,-^ 


, 1 


'- — 


- -' 


2 - . - ' 


2 . ■ ' 3 2-1 


30 21. &4 2M.46 21. So 20.56 


21 


< •- 


;0.6o 


2 1 . 6 "■ 




31 22.67 21.14 22. 5S 21.24 


.-%.-. 


49 •: 


^1.34 


22 . 3 - 


2 . . -■- 3 1 


32 23.4i3 21.S2 2:2.:?: 21.93 


2^3 


.-.- . 


^■■^ " 


23.12 -,..0 32 


33 24.13 22.51 14. _ 


22.61 


23 


c^ 


' - ' 


23.84 22. S2 33 


34 24. ST 23.1'^ ■,;.- 


23.30 


24 


rz 


.': . ^ . 


24.56 23.51 34 




23. 9S 


25 


.- 


. -^ . . r 


25. 2S 24.20 35 


S - •, . . : ■: - ^ . : : 


■^ : . - , 


24.67 


26 




.- . 7^ 


26.01 24. S9 36 


2' ',"..: 1 " ^ ', ■: 


■^ : . r - 


2.'. . 35 


2'^' 


V.- 






;~ > , ^ . . , : . r , 


\ . - - 


-- . _ ^ 


■, ^ 






■, ~ . -: ' ■- . ■- " 


:- - 1 ^ . ' 1 1 ' , : . 


■ ^ - 


■' - ^-^ 




■' : 


V ' 


■" , ' ~ 


~ . , - . 1 ' •- ^ . 1 " 


, r , . .- 


1 "• . .1 


2:- 


-1 • 


.7 . 5-3 


2S . > - 1 "^ . - -' 


- ■ , - , r r 1 ^ ^ r - 


■, r . - : 


, ^ , - 


29 


74 • 


iS.22 


29.62 :-,:- .1 


~ , ', -^ . " - ;-■.-- 


, ^ . "> 


3- 


47 • 


■>i. c- 


3':'.?. - . 42 


-> - .^■' :h.33 31. 3C 


2.:' .4:' 






' ' ' '3 


-^ .^1,1- 5"'. 01 32j.'5 3'J.lc 


" 




: . . ~ -4 


-■- , -. 30.69 32. 7S 3-.>.-3 


•y- . "■- 


3'.' . c*^ 


.32. -1 . ; - . - , Ir' 


- 31.37 :33.51 31.52 


33.::r7 .; 


^].fi6 


33.2; ;:^. .' 


-- - 32.05 34.23 32.20 


34.09 


J2.3.5 


33.91 ,1 .7 


^> M 32.74 34.96 32. S9 


34. S2 


3?. 04 


34.67 : ..r 4^ 


-- - :. 33.42 35.69 33.57 


35.. >4 


33.73 


33.41 M.^^ 49 


r_ - ..'? 34.10 36.42 ,34.26 


35.27 


34.4^ 


36.12 34. :^ 50 


\ 


X)^-^. Lat. Dep. 


LaL 


Dep. 


Li:. 


■ Dep. Lat. 


t 


-I 


47 Deg. 46^ Dej. 


4oi I 


Dcz. 


4o- Der. 


i - 



TKAVERSE TABLE. 



89 



o 

3 

9 
~5l 


43 Deg. 


m Deg. 


43i Deg. 


43i Deg. 


3 
o 
a 

~5T 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


37.30 


34.78 


37.15 


34.94 


36.99 


35.11 


36.84 


35.27 


52 


38.03 


35.46 


37.88 


35.63 


37.72 


35.79 


37.56 


35.96 


52 


53 


38.76 


36.15 


38.60 


36.31 


38.44 


36.48 


38.29 


36.65 


53 


54 


39.49 


36.83 


39.33 


37.00 


39.17 


37.17 


39.01 


37.34 


54 


55 


40.22 


37.51 


40.06 


37.69 


39.90 


37.86 


39.73 


38.03 


55 


56 


40.96 


38.19 


40.79 


38.37 


40.62 


38.55 


40.45 


38.72 


56 


57 


41.69 


38.87 


41.52 


39.06 


41.35 


39.24 


41.17 


39.42 


57 


58 


42.42 


39.56 


42.25 


39.74 


42.07 


39.92 


41.90 


40.11 


58 


59 


43.15 


40,24 


42.97 


40.43 


42.80 


40.61 


42.62 


40.80 


59 


60 
61 


43.88 


40 . 92 


43.70 


41.11 


43.52 


41.30 
41.99 


43.34 


41.49 


60 
61 


44.61 


41.60 


44.43 


41.80 


44.25 


44.06 


42.18 


62 


45.34 


.42.28 


45.16 


42.48 


44.97 


42.68 


44.79 


42.87 


62 


63 


46.08 


42.97 


45.89 


43.17 


45.70 


43.37 


45.51 


43.. 57 


63 


64 


46.81 


43.65 


46.62 


43.85 


46.42 


44.05 


46.23 


44.20 


64 


65 


47.54 


44.33 


47.34 


44.. 54 


47.15 


44.74 


46.95 


44.95 


65 


66 


48.27 


45.01 


48.07 


45.22 


47.87 


45.43 


47.68 


45.64 


66 


67 


49.00 


45.69 


48.80 


45.91 


48.60 


46. ri 


48.40 


46.33 


67 


68 


49.73 


46.38 


49.53 


46.59 


49.33 


46.81 


49.12 


47.02 


68 


69 


50.46 


47.06 


50.26 


47.28 


.50.05 


47.50 


49.84 


47.71 


69 


70 
71 


51.19 
51.93 


47.74 
48.42 


50.99 


47.96 


50.78 


48.18 


50.57 


48.41 


70 

71 


51.71 


48.65 


51.50 


48.87 


51.29 


49.10 


7 2 


52.66 


49.10 


52.44 


49.33 


52.23 


49.56 


.52.01 


49.79 


72 


73 


53.39 


49.79 


53.17 


50.02 


.52.95 


.50.25 


.52.73 


50.48 


73 


74 


54.12 


50.47 


53.90 


,50.70 


53.68 


50.94 


.53.45 


51.17 


74 


lO 


54.85 


51.15 


54.63 


51.39 


54.40 


51.63 


54.18 


51.86 


75 


76 


55.58 


51.83 


55.36 


52.07 


55.13 


52.31 


54.90 


52.55 


76 


77 


56.31 


.52.51 


56.08 


52.76 


55.85 


53.00 


55.62 


53.25 


77 


7 8 


57.05 


53.20 


56.81 


53.44 


56.58 


53.69 


56.34 


53.94 


78 


79 


57.78 


53.88 


57.54 


54.13 


57.30 


54.38 


57.07 


54.63 


79 


.^0 
81 


58.51 


54.56 


58.27 


54.81 


.58.03 
58.76 


55.07 
55.76 


57.79 
.58.51 


55.32 


80 
81 


59.24 


55.24 


59.00 


55.50 


56.01 


82 


59.97 


55.92 


59.73 


56.18 


59.48 


56.45 


59.23 


56.70 


82 


83 


60.70 


56.61 


60.45 


56.87 


60.21 


57.13 


59.96 


57.40 


83 


84 


61.43 


57.29 


61.18 


57.56 


60.93 


57.82 


60.68 


58.09 


84 


85 


62.17 


57.97 


61.91 


58.24 


61.66 


58.51 


61.40 


58.78 


85 


88 


62.90 


58.65 


62.64 


58.93 


62.38 


59.20 


62.12 


59.47 


86 


87 


63.03 


59.33 


63.37 


59.61 


63.11 


59.89 


62.85 


60.16 


87 


88 


64.36 


60.02 


64.10 


60.. 30 


63.83 


60.58 


63.57 


60.85 


88 


89 


65.09 


60.70 


64.82 


60.98 


64.. 56 


61.26 


64.29 


61.54 


89 


90 
91 


6.5V82 


61.38 


65.55 


61.67 


65.28 


61.95 


65.01 


62.24 


90 
91 


66.55 


62.06 


66.28 


62.35 


66.01 


62.64 


65.74 


62.93 


92 


67.28 


62.74 


67.01 


63.04 


66.73 


63.33 


66.46 


63.62 


92 


93 


68.02 


63.43 


67.74 


63.72 


67.46 


64.02 


67.18 


64.31 


93 


94 


68.75 


64.11 


68.47 


64.41 


68.19 


64.71 


07.90 


65.00 


94 


95 


69.48 


64.79 


69.20 


65.09 


68.91 


65.39 


68.62 


65.69 


95 


96 


70.21 


65.47 


69.92 


65.78 


69.64 


66.08 


69.35 


66.39 


90 


97 


70.94 


66.15 


70.65 


66.46 


70.36 


66.77 


70.07 


67.08 


97 


98 


71.67 


66.84 


71.37 


67.15 


71.09 


67.46 


70.79 


67.77 


98 


99 


72.40 


07.52 


72.11 


67.83 


71.81 


68.15 


71.51 


68.46 


99 


100 

i 

Q 


73.14 


68.20 


72.84 


68.52 


72.54 


68.84 


72.24 


69.15 


100 

d 
o 
C 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


47 Deg. 


46| Deg. 


46^ Deg. 


46^ Deg. 



90 



TRAVERSE TABLE. 



2 

1 

P 

1 


44 Deg. 


44iDeg. 


44i Deg. 


441 Deg. 


45 Deg. 


i 


Lat. 


Dep. 


Lat. 1 


Dep. 
0.70 


Lat. Dep. : 
0.71 0.70i 


Lat. 


Dep. 


Lat. 


Dep. 


0.72i 0.69 


0.72 


0.71 


0.71 


0.71 


0.71 


1 


2| 1.44 1.39 


1.43, 1.40 


1.43 1.401 


1.42 


1.41 


1.41 


1.41 


2 


3 2.16 2.08 


2.15! 2.09 


2.14! 2.10| 


2.13 


2.11 


2.12 


2.12 


3 


4 2,88 2.78 


2.87i 2.79i 


2.85i 2.80f 


2.84 


2.82 


2.83 


2.83 


4 


5 3.60 3.47 3.58' 3.49, 


3.57i 3.50' 


3.55 


3.52 


3.54 


3.. 54 


5 


6; 4.32 4.17 4.30 4.19: 


4.28' 4.211 


4.26 


4.22 


4.24 


4.24 





7: 5.04i 4.86 5.01 4.88 


4.99 4.9l! 


4.97 


4.93 


4.951 4.95 


7 


8| 5.75 5.56 5.73 5.58 


5.71' 5.6i: 


5.68 


5.63 


5.661 5.66' 8 


9; 6.47 6.25 6.45 6.23] 6.42 6.31 


6.39 


6.34 


6.361 6.36 9 


lOj 7.19 


6.95. 
7.641 


7.16! 6.98i 7.13 


7.01 
7.7l! 


7.10 


7.04 


7.07j 7.07il0 

7.781 7.78 11 


11 7.91 


7.88 7.681; 7.85; 


7.81 


7.74 


12 8.63 8.34!' 8.601 8.37:1 8.56; 8.41| 


8.52 


8.45 


8.49' 8.49 12 


13 9.35 9.03i 9.3l! 9.07' 9.27i 9.1l' 


9.23 


9.15 


9.19! 9.19 13 


14 10.07, 9.73 10.03 9.77:| 9.99 9.81' 


9.94 9.86 


9.90 9.90 14 


15 10.79 10.42 10.74 10.47 , 10.70 10.51 


10.65 10.56 


10.61 10.61 15 


16 11.51 11.11 11.46 11.1611.41 11.21 


11.36 11.26 


11.31 11.31 16 


17 12.23 11.81 12.18 11.86;12.13 11.92 


12. 07. 11. 97 


12.02 12.02 17 


18 12.95 12.50 12.89 12.56 12.84 12.62 


12.78 12.67 


12.73 12.73 18 


19 13.67 13.20 13.61 13.26 13.55 13.32 


13.49 13.38 


13.43 13.43 19 


20 14.39 13.89 


14.33 13.96 14.26 14.02 
15.04 14.65 14.98 14.72 


14.20 14.08 
14.9M4.78 


14.14 14.14 20 
14.85 14.85 21 


21 15.11 14.59 


22 15.83 15.28 15.76 15.35 15.69 15.42 


15.62 15.49 


15.56 15.56 22 


23 16.54 15.98 16.47 16.05 16.40 16.12 


16.33 16.19 


16.26 16.26 23 


24 17.26 16.67 17.19 16.75 17.12 16.82 


17.04 16.90' 


16.97 16.97 24 


25 17.98 17.3717.91 17.44 17.83 17.52 


17.75 17,60 


17.68 17.88 25 


26 18.70 18.06 18.62 18. 14=18. .54 18.22 


18.46 18.30 


18.38 18.38 26 


27 19.42 18.76:19.34 18. 84119.26 18.92 


19.17 19.01 


19.09 19.09 27 


28 20.14 19.45 20.06 19.54 19.97 19.63 


19. 8919. 7r 


19.80 19. S02S 


29 20.86 20.15 20.77 20.24 20.68 20.33 20.60 20.42 


20.51 20.51 29 


30 21.58 


20 . 84 
21.53 


21.49 20.93 


21.40 21.03 
22.11 21.73 


21.31 21.12 


21.21 21.21 30 


31 22.30 


22.21 21.63 


22.02 21.82 


21.92 21.92 


31 


32 23 . 02 22 . 23 22 . 92 22 . 33 22 . 32 22 . 43 


22.73 22.53 


22.63 22.63 32 


33 23 . 74 22 . 92 23 . 64 23 . 03 ; 23 . 54 23 .13 23 . 44 23 . 23 


23.33 23.33 33 


34 24 . 46 23 . 62 24 . 35 23 . 72 24 . 25 23 . 83 


24.15 23.94 


24.04 24.04 34 


35 25.18 24.31 25.07 24.42 24. 96124.53 24.86 24.64 


24.75 24.75 35 


36 25 . 90 25 . 01 25 . 79 25 . 12 25 . 68 25 . 23 


25.57 25.34 


25.46 25.46 36 


37 26.62 25.70 26.. 50 25.82 26.39 25.93 


26.28 26.05 


26.16 26.16 37 


38 27.33 26.40 27.22 26.52 27.10 26.63 


26.99 26.75 


26.87 26.87 3S 


39 28 . 05 27 . 09 27 . 94 27 . 21 27 . 82 27 . .34 


27.70 27.46 


27..5S 27.-58 39 


40 28.77,27.79 28.65 27.91 28.53 28.04 


28.41 28.16 


28.28 28.28 40 


41 29.49 28.48 29.37 


28.61 29.24:28.74 


29.12 28.86 


28.99 28.99 41 


42 30.21 29. IS 30. OS 


29.31 29.9629.44 


29.83 


29.57 


29.70 29.70 42 


43 30.93 29.87 30.80 


30.00 30.67 30.14 


30.54 


30.27 


30.41 30.41 43 


44 31.65 30.56 31.. 52 


30.70 31.38 30.84 


31.25 


30.98 


31.11 31.11 44 


45 32.37 31.26^32.23 


31.40 32. 10: 31.. 54 


31.96 


31.68 


31.82 31.82 45 


46 33.09 31.95-32.95 


32.10 32.81:32.24 


32.67 


32.38 


32.53 32.. 53 46 


47 33.81 32.65 33.67 


32.80 33.52 32.94 


33.38 


33.09 


33.23 33.23 47 


48 34.53 33.34 34. 3S 


33.49 34.24 33.64 


34.09 


33.79 


33.94 33.94 43 


49 35.25 34.04 35.10 


34.19 34. 95; 34.-34 


.34.80 


34.50 


34.65 34.65 49 


50 35.97 34.73 35.82 


34.89 35.66 35.05 


35.51 


35.20 


35.36 35.36 50 


S 

s 


Dep. Lat. jl Dep. \ Lat. 


i Dep. 


Lat. 


Dep. 


1 Lat. 


Dep. 1 Lat. 


^i 


.2 


46 Deg. 


45 1 Deg. 


45^ Deg. 


45i Deg. 


45 Deg. 


1 



TRAVERSE TABLE. 



91 



44Deg. 



Lai. Dep 



51 36, 

52 37, 
53138, 



59 42 . 
_60 43. 

61 43. 

62 44. 
63145. 
64|46. 
65^46. 
66 47. 
67J48. 
68j48. 
69 49. 

_70 5(h 

71 51. 

72 51. 

73 52. 



69 35, 
41 36. 
12!36. 

84; 37, 
56 38. 
28 38. 
00 39. 
72 1 40. 
44 '40. 
_Hi,4K 
88^42. 
60|43. 
32 43, 
04 44. 
7645. 
48 45. 
20 46. 
92 47. 
63 47. 
35^48. 



44i Dt 



Lat. Dep 



53 35 , 
25 36, 
96'36. 
68;37. 
40 38. 
11 39. 
83 39. 



98 1 42 

68 |42 

37 

07 

76 

46 

15 

85 

54 

24 

93 

63 



07 49 
79 50 
51 50 
23 51 
95 52 
67 52 
39 .53 
11 54 
83 54 
55 55 



.58. 

58. 

59. 

60. 

61. 

61. 
87 62. 
88i63. 
89j64. 

90 64. 

91 65. 
92.66. 

93 66, 

94 67. 

95 68 , 
9669, 
97l69, 
98l70, 
99|71, 

100 71, 



27 56 . 
99 56. 
71 57. 
42 58. 
14 59. 
86 .59 . 
58 60. 
30 61. 
02 61. 
74 62. 
46 63. 
1863, 
90 64, 
62 65, 
34 65, 
06 66, 
78 67, 
50 68, 
21 68, 
93,69 



27 58, 
96 i58. 



59. 

60. 

60. 

61. 

62. 

63. 

63. 
521:64, 
211:65. 
91 65, 
60l!66, 
30' 67, 
99' 68, 
69; 68, 



Dep. Lat 



46 Deg. 



.57 
,26 
96 
,66 
,36 
,05 
,75 
,45 
,15 

,54i50 

,241,51, 
.94 52, 



44i Deg. 



Lat. Dep. 



38 35, 
09136, 
80137, 
52 '37, 
23138, 
94 39, 



39 
40 
41 

79 4^ 

51 ' 

22 



Dep. Lat. 



45| Deg. 



441 Deg. 



Lat. Dep 



45 Deg. 



Lat. D 



32 42 , 



76 50 



Dep. Lat, 



45 i Deg. 



49. 
50, 
51. 
52. 
52, 
53, 
54, 
54, 
I0j55, 
81 56, 
52 '57" 
24157 
95I58 
66'59 
37 59 
08;60 
7961 
5061 
21 62 
92 63^ 
63 
34 
05 
76 
47 
18 
89 
60 
31 
02 



25 61 
95162 



Dep. Lat 



62 
63 
64 
65 
65 
66 
67 
59 67 



20 

91 

62 

33 

03 

74 

45 

15 

86 

57 

28 

98 

69 

40 

10160 

81 60 

52161 

23{62 

9362 

64 63 



45i Deg. 



Dep. Lat 



.35 
.05 
.76 
.47 
.18 
.88 
.59 
.30 
.00 
.71 



51 
52 
63 
54 
55 
56 
57 
58 
59 
_60 
61 
62 

6a 

64 
65 
66 
67 
68 
69 

J70 
71 
72 
73 
74 
75 
76 
77 
78 
79 

_80 
81 
82 
83 
84 
85 
86 
87 
88 
89 
90 

91 
92 
93 
94 
95 
96 
97 
98 
99 
100 



45 Deg. 



A TABLE OF NATURAL SIXES, 



De^. Ij I Ueg. 



^ btz. 



3 Deg. ii -L Deg. 






>". 0> >ai. >. 



16 00465 9' 

IT 00495 C< 
1 ^ , '--^ - 



3y.5. 



05o-5:3 99S46 



-o9S 9dS3-S 

--^7 00^3'? 



- ' ■ / -t 49 

' - ■::L4^ 

->47 

-7 46 

_^^ . : .5 45 

074401 99723i44 

07J:''0'9:)7-::i 43 



Soo y9y72 :u4i' 
3S5 99972 041 
41 4. .^9971 041 
..: :'9970 041 



29 i.»0S44 99y.:>o 025^9 .4.:»yfJ6 '-'43".; 
3() An s 7 gi 00 Q a -; n o « [ -^ j ;>c k^ ft ,> 1 3 ^■ 



..-tSIo'^uT-rji) 199694 31 



S 

3- :. : 

39 >>I134 9.r; 

4<J 01164 99: 

41 01193 99: 

42 01222 99 
430125: 99 

44 01C' — 

45 013 



46 013:- 

47 013" 
4S 013;- 
49 014-,- 
50014'. 
51 014- 
52OI0:: 
5301.-4, 

54 015" 

55 016'- ; 

56 M--':- 



.>40. 99786 0S281 99657 15 



04S56 9:} — 



O5O0L yy^sTo 'u6743 yy772 084S4 y96:39i 

05030 99.S73 06773 ^9770 I1S513 9<^37 

05059 99^"^ ■- : "'^^ '— ;-: ■ -35' 

050SS99-^ ^ -' - - iZ 

rin' '7 q:^-- - - - " - • ■ 



X. Co- 
sine 



Xnt. 

Sme 



N. Co- 
Sine 



Nat. 

Sine 



N. Co- 

' Sine 



Nil. 
Sine 



|-\. Co- 
I Sine 



Nat. 

Sine 



Co 

■•ine 



Nai. 
Sine 



po n. 



De?. 



.S7 Deo-. 



P.6 D>-z. (I So Deg. 



A TABLE OF NATURAL SINES. 



93 



M N. S. I N. CS. 



5 Deg. 



08716 
08745 
08774 
08803 
08831 
088G0 
08889 
08918 
08947 
08976 
0!)005 
09034 
09063 
09092 
09121 
0915 

09208 
09237 
19;09266 
20:09295 
21 09324 



6 Deg. 



45 



99619 
99617 
199614 
99612 
99609 
99607 
99604 
99602 
99599 
99596 
99594 
99591 
99588 
99586 
99583 
99580 

99578 
99575 
99572 
99570 
99567 
<)9564 
99562 
99559 
99556 
99553* 
995511 
'995481 
99545; 
,99542, 
99540 



10453 
10482 
10511 
10540 
10569 
10597 
10626 
10655 
10684 
10713 
10742 
10771 
10800 
10829 
10858 
10887 



N.CS. N. S. iN'.CS. ! N.S. N. CS. N.S. I N. CS. 



99452 
99449 
99446 
99443 
99440 
99437 
99434 
99431 
99428 
99424 
99421 
99418 
99415 
99412 
99409 
99406 



09614 
09642 
09671 
09700 
09729 
09758 
09787 
09816 
09845 
09874 
09903 
09932 
09961 
09990 
0019 



995371 
995341 
99531] 
995281 
99526! 
99523, 
99520 
99517 
99514 
99511 
99508 
995061 
99503 
995001 

99497 ; 

10048i99494! 
10077199491; 
10106 99488 
10135199485 
10164 994S2 
10192:99479 
10221 99476 
99473 
99470 



10916 99402 
10945199399 
10973199396 
IIOO2I99393 
11031199390 
1106099386 
11089199383 
11118|99380 
11147 99377 
11176 99374 
11205 99370 
11234^99367 
H263;99364 
11291 99360 
11320 9935 

11349 
11378 
11407 
11436 
11465 
11494 
11523 
11552 
11580 
11609 
11638 
11667 
11696 
11725 
11754 



7 Deg. i y Deg. 



12187 
12216 
12245 
12274 
12302 
12331 
12360 
12389 
12418 
12447 
12476 
12504 
12533 
12562 
12591 
12620 



12649 
12678 
12706 
12735 
12764 
12793 
1282:l 
12851 
12880 
12908 
12937 
12966 
12995 
13024 
13053 



99354 
99351 
99347 
99344 
99341 
99337 
99334 
99331 
99327 
99324 
99320 
99317 
99314 
99310 
99307 



10250 
10279 
10308 



99467 



10337 99464 
I0366i99461 
] 03951 99458 
10424 99455 



M N.CS. I N. 



84 Detr. 



99255 
99251 
99248 
99244 
99240' 
992371 
99233 
99230! 
992261 
99222, 
992191 
992151 
99211 
99208 
99204 
99200 



99197 
99193 
99189 
99186 
99182 
99178 
99175 
99171 
99167 
99163 
99160 
99156 
99152 
99148 
99144 



13917 
13946 
13975 
14004 
14033 
14061 
14090 
14119 
14148 
14177 
14205 
14234 
14263 
14292 
14320 
14349 
i 14378 
114407 
14436 
14464|9S948 
14493 98944 



14608198927 
14637198923 



14723 98910 
14752198906 
14781:98902 



99027 
99023' 
990191 
99015 
990111 
990061 
990021 
98998 
98994 
98990! 
98986 
989821 
989781 
98973 
98969 
98965 



9 Deg. 



13081 
13110 
13139 
13168 
13197 
13226 
13254 
13283 
13312 
13341 
13370 
13399 
113427 
13456 
13485 



99141 
99137 
99133 
99129 
99125 
99122 
99118 
99114 
99110 
99106 
99102 
99098 
99094 
99091 
99087 



15643 ! 

15672,' 

1570L 

15730 

15758' 

157871 

15816' 

15845 

15873] 

159021 

15931 

15959' 

159881 

16017 

16046 I 

16074 

16103198695 

16132,98690 

16160 98686 



16189 
16218 
16246 
16275 
16304 
16333 
16361 
16390 
16419 
L6447 
16476 
16505 



14810 98S97 

14838198893 

14867 

14896 

14925 

14954 

14982198871 

15011 '198867 

15040|98863 

15069 98858 

15097 98854 

15126 98849 

15155 98845 

15184198841 

15212198836 



^|-K7S.- 



15241198832 
15270198827 
15292 1 98823 
1532798818 
1535698814 
15385' 98809 
15414J98805 
98800 
98796 
98791 
98787 
98782 
98778 
15615| 98773 



98681 
98676 
98671 
98667 
98662 
98657 
98652 
98648 
98643 
98638 
98633 
98629 



98624 
98619 
98614 
98609 
98604 
98600 
98595 
16734 98590 



16763 
16792 
16820 
16849 
116878 
16906 
16935 



98585 
98580 
98575 
98570 
98565 
98561 
98556 



16964 
16992 
170211 
17050 
170781 
17107; 
17136. 
17164! 
17193 
17222 
1 7250 
17279 
17308 
17336 



98551 
98546 
98541 
98536 
98531 
98526 
98521 
98516 
98511 
98506 
98501 
98496 
98491 
98486 



83 Dcsr. 



82 De^r. 



81 Dorr. 



N.( 



N. S. M 



80 Deg. 



84 



A TABLE OF NATUBAL SINES. 



M 


10 Deg. 1 11 Deg 


[1 12 De^i. 


13 Deg. ; 

-N.S. IX. CS. 


14 Deg. 


.M 


X. S. j X. CS. 1 X. s. 


N.CS. 


-N. S. (X.CS. 


X.S. 


X.CS. 





17365 98481 19081 981B3 


120791197815 


22495 97437 


24192 


97030 


60 


1 


17393 98476 19109 98157 


20820,97809 


22523 97430 


24220 


97023 


59 


2 


1742298471 19138I98152 


20848! 97803 


22552 97424 


24249 


97015 


58 


3 


17451 98466 19167,98146 


20877;97797 


22580 97417 


24277 


97003 


57 


4 


17479 98461! 19195,98140 


:20905^' 97791 


22608 97411 


24305 


97001 


56 


5 I750S 93455' 19224I98I35 


!20933 


97784 


22637 97404 


24333 96994 


55 


6 17537 98450, 19252198129 


120962 


97778 


22665 97393 


24362 


96987 


54 


7 17565 98445 1928 1|98 124 


;20990 


97772 


22693:97391 


24390 


96980 


53 


S 17594 9S440 19309:98118 


'21019 


97766 


22722 97384 


24413 


90973 


52 


9 17623 9S435 19338i98112 


•21047j97760 


22750 97378 


24446 


96966 


51 


10 


17651:98430, 19356 98107 


2107697754 


22778 97371 


24474 


96959 


50 


11 


17680'98425' 19395^98101 


!2 1104:97748 


22307 97365 


24503 


96952 


49 


12 


17708 984201 I9423:98096i:21 132!97742 


22835 97358 


24531 


96945 


48 


13 


17737 93414: I9452l93090'!2116l!97735 22363 97351 


24559 


96937 


47 


14:17766 98409 19481 9S084; 21 1S9!97729 22S92 97345 


24587 


96930 


46 


15 17794 9S404 19509 98079 


21218:97723 


22920 97338 


24615 
24644 


96923 
96916 


45 

44 


16 17823 98399 19538 98073 


21246197717 


22948 97331 


171 17852 98394 19566 9S067l:21275i9771 1 


22977 97325 


24672 


96909 


43 


18117880 9S3>9 19595 98061 


21303197705 


23005 97318 


24700 


96902 


42 


19! 17909 983S3 19623 98056 


21331197698 


23033 97311 


2472S 


96894 


41 


20! 17937 9837S 19652 


98050 


!21360'97692 


23062 97304 


24750 


96387 


40 


21'17966 9S373 19680 


98044 


:21338 97686 


23090 97298 


24734 


96830 


39 


22! 17995 9S368 19709 


98039 


121417 97630 


23118 97291 


24313 


96873 


38 


23 18023 98362 19737 98033 


21445 97673 


23146 97284 


24S41 


96866 


37 


24' 18052 9S357 19766 98027 


.2147497667 


23175 97278 


24369 


96858 


36 


25 18081 98352 19794 98021 


2150297661 


23203 97271 


24897 


96851 


35 


26 IS 109 9S347 19823 98016 


:21530|97655 


23231 97264 


24925 


96844 


34 


27 1813S 98341 19851 98010 


•21559I97643 


23260 97257 


24953 


96837 


33 


28:18166 98336 19880 9S004 


215S7I97642 


23288 97251 


24982 


96829 


32 


29;i8l95 98331 19908 9799S' 21616 97636 


23316 97244 


25010 


96822 


31 


30:18224 98325 19937 97992 


21644,97630 


23345 97237 


25038 
25066 


96815 
96807 


30 
29 


31118252 98320 19965 979S7 


.216721 97623 


23373 97230 


32 18281 98315 19994 979Sl:2170l!976l7 


23401 97223 


25094 


96800 


23 


33 18309 98310 20022197975 21729:97611 


23429 97217 


25122 


96793 


27 


3418338 98304 2005197969' 21758 97604 


23458 97210 


25151 


96786 


26 


35 18367 98299 20079 97963 21786 97598 


23486 97203 


25179 


96778 


25 


36 18395 9S294 2010S 97958 21814!97592 


23514 97196 


25207 


96771 


24 


3718424 98288 20136 97952 21843i97585 


23542 97189 


25235 


96764 


23 


38 18452 98283 20165 97946 21871|97579 


23571 97182 


25263 


96756 


22 


39 18481 9S277 20193 97940 21S99i97573 


23599 97176 


25291 


96749 


21 


40 18509 98272 20222 97934 21928!97566 


23627 97169 


25320 


96742 


20 


41 18538 98267 20250 97928 21956 97560 


23656 97162 


25343 


96734 


19 


42 18567 98261 20279 97922 219S5 97553 


23684 97155 


25376 


96727 


13 


43 18595 98256 20307 97916 22013,97547 


23712 97148 


25404 


96719 


17 


44 18624 93250 20336 97910 22041:97541 


23740 97141 


25432 


96712 


16 


45' 18652 98245 20^364 


97905 
97399 


22070,97534 


23769 97134 
23797 97127 


25460 
25433 


96705 
96697 


15 

14 


46 18681 98240 20393 


22093 97523 


47I1871O 98234 2042197893 22126 97521 


23825 97120 


25516 


96690 


13 


48 18738 98229 20450 97837 22155 97515 


23353 97113 


25545 


96682 


12 


49 18767 98223 20478 973^1 22183 97508 


23382 97106 


25573 


96675 


11 


50 18795 98218 20507 97875 22212 97502 


23910 97100 


25601 


96667 


10 


51:18824 98212 20535 97869 22240 97496 


23938 97093 


25629 


96660 


9 


52 18852 93207 20563 97863 22263 97439 


23966 97086 


25657 96653 


8 


53 18881 98201 20592 97857 22297,97483 


23995,97079 


25685 


96645 


7 


54' 18910 93196 20620 97851 22325197476 


24023 97072 


25713 


96638 


6 


55 18933 93190 20649 97345 22353:97470 


24051197065 


25741 


96630 


5 


56!l8967 9^135 20677 97839 22332i97463 


24079,97053 


25769 96623 


4 


57 18995 9817S 20706;97333 22410'97457 


24103197051 


25793 96615 


3 


58:19024 93174 20734i97327 2243^97450 


24136 97044 


25326 96608 


2 


59 19052 98168 20763'97821 22467 97444 24164 97037 


25854 96600 


1 


M N. CS. : N. S. 1 N. CS. 1 x\. S. >'. ( >. X. s. X. CS. i X. S. 


X.CS. X.S. 


M 




79 De?. i 7,S L 


)ecr. 


77 De^j. 


76 Da?. 


75 Deg. 



A TAULE OP NATURAL SIXES. 



96 



15 Dejf. jl 16 Ueg. | l7 L)eg 



25882 
25910 
2593S 
3125966 
4I2599-4 
5 1 26022 
6 j 26050 
726079 
8126107 
9 26 1 35 

10 261(53 

11 26191 

12 26219 
13' 26247 

14 26275 

15 26303 



96593 
96585 
96578 
96570 
96562 
96555 
96547 
96540 
96532 
96524 
96517 
96509 
96502 
96494 
96486 
96479 



127564 
127592 
:|27620 
27648 
127676 
,,27704 
,127731 
1127759 
127787 
27.>^15 
27S43 
,27871 
,127899 
:27927 
i 2 79 55 
279>!3 



16 26331 96471 128011 
17,26359 96463 i28039 

18 26387 964561128067 

19 26415 96448 '28095 

20 26443 96140 28123 

21 2647l'96433 28150 

22 26500 96425 ;{28 178 
23!26528 96417:28206 
2426556: 964 10|l28234 
25,265S4'96402ii28262 
26 26612 96394' 28290 



27 266 to 9638 

28 2666S 96379 

29 26696 9637] 
30 26724 
31126752 
3226780 
3326808 
34 26836 



28318 

28346 

28374 

96363 {28402 



96355 28429 95874 
95347 ;28457 95865 
96340 ,28485 95S57 

96332 28513 95849 

35 26S64' 96324 128541 95841 
36,26892 96316 28569 95832 
37.26920 96308128597 95824 
38,26948 96301 ,28625 95816 
39 26976 96293 28652 95807 



40 27004 
41 127032 

42 27060 

43 27088 
4427116 



96285| 28680 95799 
96277128708 95791 
96269 



96261 
96253 



45 27144 96246 



46 27172 9623S 

47 27200,96230 

48 27228i96222 

49 27256 96214 

50 27284 96206 

51 27312 9619S 

52 27340-96190 

53 27368196182 

54 27396196174 

55 27424196166 



56 27452 
57:27480 

58 27508 

59 27536 



N.CS. 



96158 
96150 
96142 
96134 
N. S. 



74 Deer. 



96126 
96118 
96110 
96102 
96094 
96086 
96078 
96070 
96062 
96054 
96046 
96037 
96029 
96021, 
96013 
96005 
9.59'97 
95989, 
9598 1 
95972 
95964 
95956 
95948 
95940 
95931 
95923 
95915 
95907 
95898 
95890 
95882 



29237 
29265 
29293 
2932 1 
29348 



N.c 



95630 
95622 
95613 
95605 
95596 



29376! 95588 
2940495579 
2943295571 
29460' 95562 
29487' 95554 
29515 95545 
295 1:3! 95536 
29571195528 
29599' 955 19 
29626955 11 
29654' 95502 
|29682|95493 
129710 95485 
129737 95476 
29765195467 
'29793 95459 
29821195450 
29849,95441 
29876 95433 
2990495424 



129932 
129960 
i 29987 
30015 
30043 
30071 



:28736 95782 ^ 
128764 95774' 
28792 95766 
■ 28820 95757 

28847 95749 
!28875 95740 
28903 95732 
28931 J95724 
28959 95715 
28987i95707 
,2901595698 
,29042 195690 
l29070;9568l 
,29098 95673 
:29126 95664 
129154 95656 
29182 95647 
; 29209 195639 

In. cs. I N..S. 
1 73 Di^ 



30098 
30126 
30154 
30182 
30209 
30237 
30265 
30292 
30320 
30348 
30376 
30403 
30431 
30459 
30486 



30514 

30542 

30570 

3059 

30625 

30653 

30680 

30708 



95415 
95407 
95398 
95389 
95380 
95372 



95363 
05354 
95345 
95337 
95328 
95319 
95310 
.^5301 
95293 
952S4 
95275 
95266 
95257 
95248 
95240 



95231 
95222 
95213 
95204 
95195 
95186 
95177 
95168 



13 Ueg. I 19 L^e^^ 



30902 
30929 
|30957 
130985 
131012 
|31(H0 
31068 
'31095 
31123 
31151 
31178 
31206 
31233 
13 1 26 1 
13 1289 



95106 
i) 00971 
95988' 
95079 
95070; 
9506 1 1 
95052' 
95013 
95033; 
95024 
95015' 
95006 
;91997 
94988 



N. S. IN I'S. M 



94i)79 



51316 9 4970 



31344 
31372 
31399 
31427 
31454 
31482 
31510 
31537 
31565 
31593 
31620 
31648 
31675 
31703 
31730 



i 94961; 
194952 
1949431 
j 94933 
94924 
94915 
94906 
94897 
94888 
94878 
94869 
94860 
94851 
94842 
94832 



31758 
31786 
31813 
31841 
31868 
31896 
31923 
31951 
31979 
32006 
32034 
32061 
32089 
32116 
32144 



32171 
32199 
32227 
32254 
32282 
32309 
32337 
32364 



30736,95159 
30763J95150 
30791 95142 
30819 95133 
130846 95124 
!30874j 95115 



12 Deg. 



32557 

1325.-^4 
32612 
32639 
32667 
:32694 
32722 
32749 
32777 
32804 
32S32 
; 32859 
132887 
32914 
329 42 
32969 
32997 
33024 
^3051 
33079 
33106 
33134 
33161 
33189 
33216 
33244 
33271 
3329S 
33326 
33353 
33381 



94552 
'94542 
'94533 
;9i523 
194514 
94504 
94495 
94485 
94476 
94466 
94457 
94447 
94438 
94428 
94418 
94409 



94823 
94814 
94805 
94795 
94786 
94777 
94768 
94758 
94749 
94740 
94730 
94721 
94712 
94702 
94693 



94684 
94674 
94665 
94656 
94646 
94637 
94627 
94618 



32392 '94609 
32419 94599 



32447 
32474 
32502 
32529 



>. CS. N. s 



94590 
94580 
94571 
94561 



71 D 



'--er- 



94399 44 
94390 43 
94380 42 



94370 
94361 
94351 
94342 
94332 
94322 
94313 
94303 
94293 
94284 
94274 
94264 



33408 
33436 
33463 
33490 
33518 
33545, 
33573' 
33600 
33627 
33655 
33682 
33710 
33737 
33764 
33792 



33819 
33846 
33874 
33901 
33929 



94254 
94245 
94235 
94225 
94215 
94206 
94196 
94186 
94176 
94167 
94157 
94147 
94137 
94127 
94118 



94108 
94098 
94088 
94078 
94068 



33983 94049 
34011 94039 
34038 94029 
34065 94019 
34093 94009 
34120,93999 
34147|93989 
34175 93979 
X. CS. I N. 8. 
70 l)c^. 



96 



A TABLE OF NATURAL 8IKES. 



20 Ueg. 



2l_Deg. r 22 Peg, i 23 Deg. \' 24 Deg. 



N. a. iN.CS. N. S. N. CS. ' N. S. i N. CS. N. S. i N. CS. 



93969 
93959 
93949 
93939 
93929 
93919 
93909 
93S99 
93SS9 
93S79 
93S69 
93S.39 
93S49 
93S39, 
93S29 
93S19 
93S09 
93799 
93759 
93779 
93769 
93759 
93748 
9373S 
93728 
937 IS 
93708 
93698 
936SS 
93677 
93667 



34202 
1134229 

2 34257 

3 34284 

4 34311 
5;34339 
6 34366 
7:34393 

5 34421 
9 3444S 

10 34475 

11 34503 

12 34530 

13 34557 

14 345 S4 

15 34612 
Te 34639 
17 34666 
IS 34694 

19 34721 

20 3474S 

21 34775 

22 34803 

23 34S30 

24 34S57 

25 34884 

26 34912 

27 34939 

28 34966 

29 34993 

30 3502 1 

31 35u48 

32 35075 

33 35102 

34 35130 

35 35157 

36 35183 

37 35211 

38 35239 

39 35266 

40 35293 

41 35320 

42 35347 

43 35375 

44 35402 

45 35429 

46 35456 'dSobd 

47 35484 93493 

48 355 11. 934^3 

49 35538 93472 

50 35565 93462 

51 35592 93452 

52 35619 93441 

53 35647 93431 

54 35674 93420 

55 35701,93410 

56 35728 93;<J0 

57 35755 933S9 
5S 35782 9337 9 
59, 35810 9336 8 
M^ N.CS.i N. S. 

1 69 De?. 



35837 
35864 
35891 
35918 
35945 
35973 
3600U 
36U27 
36054 
36081 
36108 
36135 
36162 
36190 
36217 
36244 

36271 
36298 
36325 
36352 
36379 
36406 
36434 
36461 
3648S 
36515 
36542 
36569 
36596 
36623 
36650 



9335S 

93348 

93337, 

93327 

93316 

93306 

93295 

93285 

93274 

93264 

93253 

93243 

93232 

93222 

93211 

9320: 

93i9u 

9318U 

93169 

93159 

93148. 

93137 

93127 

93116 

93106 

^3095' 

93084 

93074 

93u:: 

93i -^ 

9304- 



37461 
37488 
37515 
37542 
37569 
37595 
37622 
37649 
37676 
37703 
37730 
37757 
37784 
37811 
37838 



92718 
92707 
92697 
92686 
92675 
92664 
92653 
92642 
92631 
92620 
92609 
92598 
92587 
92576 
92565 
92554 



39073 
39100 
39127 
39153 
39180 
39207 
39234 
39260 
39287 
39314 
39341 
39367 
39394 
39421 
39448 
39474 



92050 
92039 
92028 
92016 
92005 
91994 
91982 
91971 
91959 
91948 
91936 
91925 
91914 
91902 
91891 
91879 



N. S. 

40674 
40700 
40727 
40753 
40780 
40806 
40833 
40860 
40886 
40913 
40939 
40966 
40992 
41019 
41045 
41072 



y. C8 . M 

91355160 
91343J59 
91331;53 
91319 57 
91307 56 
91295 55 
91283 54 
91272 53 
91260 52 
91248 51 
91236 50 
91224 49 
91212 48 
91200 47 
91188 46 
91176 45 



37-92 
37919 
37946 
37973 
37999 
38026 
3S053 
38080 
38107 
38134 
38161 
3^1^^ 




37083 
37110 
37137 
37164 
37191 
37218 
37245 
37272 
37299 
37326 
37353 
37380 
37407 
3743 4 
N. C5 



92870 
92859 
92849 
92838 
92827 
928]6 
92805 
92794 
92784 
92773 
.J2762 
92751 
192740 
192729 



92543 

92532 

92521 

92510 

92499 

924-88 

92477 

92466 

92455 

92444 

92432 

92421 

::^C:.: 92410 

:- .: 92399 

:j^-6^ ^2388 

3S295 92377 

:^-'^-:-;' cr2366 

y2355 

:;'2343 

y2332 

-. 92321 

;-..^' y23l0 

38453 92299 

3S510 92287 

38537 92276 

38564 92265 

38591 92254 

38617 92243 

38644 92231 

38671 92220 

35695 92209 
38725 92198 
38752 92 186 
3577^ 92175 
3S80592164 
38832 92152' 
38S59 92141 ■ 
38886i92130 
38912192119 
38939192107 
3896G1S2096 
38993192085 
39020 92073 
39046 92062 



39501 
39528 
39555 
39581 
39608 
39635 
39661 
39688 
39715 
39741 
39768 
39795 
39822 
39S4S 
39875 
39902 
39928 
39955 
39982 
40008 
40035 
40062 
40088 
40115 
40141 
40168 
40195 
40221 
4024S 
40275 
40301 
40328 
40355 
40381 
40408 
40434 
40461 
404S8 
40514 
40541 
40567 
40594 
40621 
40647 



91868 
91856 
91845 
91833 
91822 
91810 
91799 
91787 
91775 
91764 
91752 
91741 
91729 
91718 
91706 - 

91694 
91683 
91671 
91660 
91648 
91636 
91625 
91613 
91601 
91590 
91578 
91566 
91555 
91543 
91531 



41098 
41125 
41151 
41178 
41204 
41231 
41257 
41284 
41310 
41337 
41363 
41390 
41416 
41443 
41469 
41496 
41522 
41549 
41575 
41602 
41628 
416.55 
41681 
41707 
41734 
41760 
41787 
41813 
41840 
41866 



91519 


41892 


91508 


41919 


91496 


41945 


91454 


41972 


91472 


41998 


91461 


42024 


91449 


42051 


91437 


42077 


91425 


42104 


91414 


42130 


914U2 


42156 


91390 


42183 


9137S 


42209 


91366 


42235 



91164 44 
5 91152,43 
91140'42 
91128'41 
91116 40 
91104 39 
91092 38 
91080 37 
91068 36 
91056 35 
91044 34 
91032 33 
91020 32 
91008 31 
90996 30 
90984 29 
90972 23 
90960 27 
90948 26 
90936 25 
90924 24 
90911 23 
90899 22 
90887 21 
90875 20 
90863 19 
9085148 
90839:17 
90826,16 
90814 15 
90802!l4 
90790 13 
90778;i2 
90766111 
90753 10 
90741 
90729 
90717 
90704 
90692 
900501 
90668 
90655 
90643 



N. CS. : N. S. N. CS. 1 >'. S. N. CS. N. S. 



68 Deer. 



67 Des. 



6o Dear. 



65 [)es. 



A TABLE OF NATURAL SINES. 



97 



25 Deer. 



N.S. 



42262 

42288 
42315 
42341 
42367 
42394 
42420 
42446 
42473 
42499 
42525 
42552 
42578 

13 42604 

14 42631 



N. CS. 
90631 
90618 
90606 
90594 
90582 
90569 
90557 
905451 
90532 
90521) 
90507 
904951 
90483 
90470 
90458 



15 42657190446! 



16 142683; 90433 
17142709 
18i42736 
19 42762 

2042788 

21 42815 

22 42841 
2342867 

24 42894 

25 42920 

26 42946 
2742972 
2S;42999 

29 4:^025 

30 43051 



90421 
90408 
90396 
90383! 
90371 
90358 
90346 
90334 
90321 
90309 
90296 
90284 
90271 
90259 



31,43077 
32:43104 
33143130 

34 43156 

35 43182 
3643209 
3743235 
38 43261 

' 43287 
43313 
43340 
43366 
43392 
43418 
45 43445 



48 



90246; 

90233; 

90221 

90208; 

90196 

90183 

90171 

90158 

90146 

90133 

90120 

90108 

90095 

90082 

90070 



26 Dei 



N.S. 



43837 
43863 
43889 
43916 
43942 
43968 
43994 
11020 
44046 
14072 
44098 
44124 
44151 
44177 
44203 
44229 



44255 
4428 1 
44307 
44333 
44359 
44365 
44411 
44437 
44464 
44490 
44516 
44542 
44568 
44594 
44620 



46 43471 

47 43497 



43523 
43549 
43575 
43602 
43628 
43654 
43680 
43706 
43733 
43759 
43785 
43811 



N.CS. 



90057 
90045 
90032 
90019 
90007 
89994 
80981 
89968 
89956 
89943 
89930 
89918 
89905 
89892 



N.S. 



64 Deg. 



44646 
44672 
44698 
44724 
44750 
44776 
44802 
44828 
44854 
44880 
44906 
44932 
44958 
44984 
45010 



N. CS. 



89879 

898671 

89854 

89841' 

89828 

89816 

S9803 

89790 

89777 

89764 

89752! 

89739 1 

89726: 

89713} 

89700'( 

89687,1 



27 Ueg. 23 Ueg, 

N. CS. N.S. I N.CS. II N.S, 



89674 
S9G6'J 
89649 
89636 
89623 
89610 
89597 
89584 
89571 
89558 
89545 
89532 
89519 
89506 
89493 



45399 
45425 
4545 1 
45477 
45503 
45529 
45554 
45580 
45606 
45632 
45658 
15684 88955 
457L0i88942 
45736! 88928 
45762188915 
45787:88902 
45813!8>!888 
45S39 SS875 
88862 
88848 
88835 
88822 
88808 
88795 
88782 
88768 
88755 
88741 
88728 
88715 
88701 



46201 
46226 
46252 
46278 
S9428!]46304 
89415 46330 



89402 
89389 
89376 
89363 
89350 
89337 



46355 
46381 
46407 
46433 
46458 
46484 



45036 
45062 
45088 
451141 
451401 
45166 
45192! 
45218 
45243 
45269 
45295 
4532 1 
45347 
45373 



46587 
46613 
46639 



89324 46510 

89311 46536 

89298!!46561 

89285; 

89272' 

892591 

89245' 

89232 

89219 

189206 

189193 

189180 

189167 

189153 

189140 

|89127 

89114 



88688 
88674 
88661 
88647 
88634 
88620 
88607 
88593 
88580 
88566 
553 
88539 
88526 
88512 
88499 



88485 
88472 
88458 



146664 88445 
146690 88431 
'46716 88417 
46742 88404 
46767 88390 
46793 88377 
46819,88363 
!46844l88349 
i! 46870188336 
,146896:88322 
46921188308 



N.S. 



63 Deg. 



29 Deg. 



88295 

88281 
88207 
88254, 
88240 
88226 
88213! 
88199 
88185 
88172 
88158 
88144' 
881301 
881171 
88 103: 
88089, 



47358 
47383 
47409 
47434 
47460 
47486 
47511 
17537 
47562 
47588 
47614 
47639 
47665 
47690 
47716 



47741 
47767 
47793 
47818 
47844 
47869 
47895 
47920 
47946 
47971 
47997 
48022 
48048 
48073 
48099 



N.CS. I N.S. 



62 Deg. 



48124 
48150 
48175 
48201 
48226 
48252 
48277 
48303 



N.CS. 



87659 
87645 
87631 
87617 
87603 
87589 
87575 
87561 



48328187546 
48354187532 



48379 

48405 
48430 
4845 6 
N.CS? N.S. 



87518 
87504 
87490 
87476 



61 Degr. 



87235 !44 

87221143 

87207 

87193 

87178 

87104 

87150 

87136 

87121 

87107 

87093 

87079 

87064 

87050 

87036 



8702 1 
87007 
86993 
86978 
86964 
86949 
86935 
86921 
86906 
86892 
86878 
^6863 
86849 
86834 
86820 



49647 
49672 
49697 
49723 
49748 
49773 
49798 
49824 
49849 
49874 
49899 
49924 
49950 

49975 

N.CS. I N.S. 



86805 
86791 
86777 
86702 
86748 
[86733 
86719 
'86704 
'86690 
'86675 
86661 
.86646 
86632 
186617 



60 Deg. 



98 



A TABLE OF NATUBAL SINES, 



1 



31 Deg. ■ 
"N.S- I n.cs. 
51504|S5717 

51.554JS.56S7 
51579 ?567:i 
51604 So657 
5162S S5642 
51653 256'27t 
5167S,S561'2 
51703IS5597 
5172S S5.5SC 
51753 S5567 
51 77S 55551 
51803 S5536 
5182S S5.521 
51S52 S55U6 
51S77 5.5491 
519U2 S5476' 
51927 3.5461 
51952 S.5446 
51977 S.5431 
52002 S54i6 
52020 S.5401. 
52051 S53S5 
52076 5.5370 
52101 S53.55: 
52126 S5340, 
52151 8.5325 
52175 55310 
52200 85294, 
52225 85279 
5225U 55264 . 
52275 5 5249; 
52299 S52:34: 
52324 S5218 
52349 S5203. 
.52374 3518S 
.52399 35173 
52423 85157 
52443 35142 
52473 85127 
52493 85112 
52522 35096 
52547 35081 
52572 85066 
52597 35051 
52621 85035 
52646 85020 
52671 35005 
52696 84939 
.52720 34974 
52745 34959 
52770 5494:3 
5279484928 
52819 34913 
52844 34897 
52369.34882 
52393 34866 
.52918 34351 
52943,34336 
52967^54820 
N. CS. ^" S. >' CS. N. S. 



I 30 Deg. 

M_| N. S. -VCS: 

50u00 86603 

1J5U025 86588 

2 50050 86573 

3 50076 86559 
4150101 86.544 
5i 50126 86.530 

6 50151 86515 

7 5tJl76 36501 

8 5K201 36486 

9 50227 86471 

10 50252 86457 

11 50277 86442 
12'50302 86427 
13[ 50327 86413 
14!. 50352 36398 
lol 5 1*377 85334 
l6i 50403 86369 
17:.50428 863.54 
IS .50453 86.340 
19-50478 86325 
20 .50503 86310 
21i50528 86295 

22 50553 86281 

23 50578 86266 

24 50603 86251 
25*50628 86237 
23 50654 86222 

27 50679 86207 

28 50704 36192 
29.50729 36178 
30 ' 50 7 .54 36163 

31 50779 86148 

32 50804 36133 

33 50829 86119 
34503.54 >6104 

35 50.879 86089 

36 50904 86074 

37 50929 86059 

38 509.54 36045 

39 50979 86030 

40 51004 86015 

41 51029 86000 

42 510.54 85935 

43 51079 85970 

44 51104 35956 

45 51129 35941 



3-2 Uez. 
*. S. N.C6. 



33 Deg. 



34 Deg. 

■nTcsT nTsT n.cs. 



52992 
53U17 
53041 
53066 
.53091 
53115 
.53140 
.53164 
.53189 
53214 
53235 
53263 
5328'< 
53312 
53337 
.53361 
53356 
5341 i 
53435 
53460 
53454 
53509 
.53534 
53553 
.53533 
53607 
53632 
53656 
53681 
53705 
53730 
53754 
53779 
533U4 
53823 
538.53 
.53877 
53902 
.53926 
.53951 
53975 
.54000 
54024 
.54049 
.54073 
.54097 



.54464 
5448^ 
.54513 
a4537 
54561 
.54586 
.54610 
.54635 
54659 
.54683 
.54708 
.54732 
54756 
.54781 
54805 
.54829 



33367 
83851 
33835 
83819 
83804 
83788 
83772 
837.56 
83740 
83724 
83708 
33692 
83676 
83660 
83645 
33629 



55919 
55943 
55968 
55992 
56016 
56040 
56064 
56088 
56112 
56133 
56160 
56184 
56208 
55232 
56255 
56280 



46 51154 85926 

47 51179 35911 

48 51204 8-5896 

49 51229 85881 

50 51254 8.5866 

51 51279 85351 

52 51304 8.5836 

53 51329 85921 

54 513.54 85306 

55 51379 35792 

56 51404 85777 

57 51429 85762 

58 51454 35747 

59 51479 35732 
M 



84557 
84.542 
84526 
34511 
34495 
34480 
84464 
84448 
84433 
84417 
34402 
34386 
84370 
343.55 
34339 
34:324 
84303 
34292 
34277 
84261 
34245 
84230 
34214 
34198 
34182 
84167 
84151 
341:35 
34120 
84104 
84088 
34U72 
84057 
34<;i4l 
34025 
84009 
3:3994 
83978 
8:3962 
83946 
339:30 
33915 
8:3899 
8.3833 



8:3373 
3:3356 
83:340 
33324 
83308 
8:3292 
83276 
33260 
83244 
8:3228 
8:3212 
83195 
33179 
33163 
33147 
33131 
33115 
83098 
83082 
83066 
330.50 
830^ 
8.3017 
83001 
82985 
32969 
829.53 
82936 
82920 



56713 
56736 
56760 
56784 
55308 
56332 
56856 
56880 
56904 
.56928 
569.52 
56976 
57000 

57024 
57047 
57071 
57095 
57119 
57143 
57167 
57191 
57215 
572.S8 
57262 
57236 
57310 
573:34 



82148 14 
82132 13 
32115 12 
82098 11 
32032 10 
82065 9 
82048, 8 
32032: 7 
82015 6 
81999 5 
81982: 4 
3l965i 3 
81949 2 
81932' 1 



N. S. N. CS. X. S. 



)9 De^, 



& Dez. 



Dc-y. 



Jo Dey. 



Dez. 



A TABLE OF NATUBAL SINES. 



99 



35Deg. 



N.8. 



57358 

57381 

57405 

57429 

57453 

57477 

57501 

57524 81798 

57548 81782 

57572 81765 

57596 81748 



N. C8. 
81915 
81899 
81882 
81865 
81848 
81832 
81815 



11 5761981731 

12 57643181714 



1357667 
1457691 
15 57715 
16I5773S 
17157762 
18 57786 
19:57310 
2057S33 
21 57857 



81698 
81681 
81664 



57881 
57904 
5792S 
57952 
57976 
57999 
58023 
58047 



30158070 



31 58094 
32,58118 
3358141 
34 58165 
35i58189 
36158212 
37|58236 
38i58260 
39:58283 
40;58307 
41158330 
42158354 
43:58378 

44 58401 

45 58425 

46 58449 
4758472 
4858496 

49 58519 

50 58543 

51 58567 

52 5*^590 

53 5^614 
54,58637 
5558661 

56 58684 

57 58708 

58 58731 

59 58755 



81647 
81631 
81614 
S1597 
81580 
81563 
81546 
81530 



36 Dog. 



N.S. 



58779 
58802 
58826 
58849 
58873 
58896 
58920 
58943 
58967 
58990 
59014 
59037 
59061 
59084 
59108 
59131 



N. (JS. 



59154 
59178 
59201 
59225 
59248 
59272 
59295 
59318 



81513,159342 
81496 59365 



81479 
81462 
81445 
81428 
81412 



81395 
81378 
81361 
81344 
81327 
81310 
81293 
81276 
81259 
81242 
81225 
81208 
81191 
81174 
81157 
81140 
81123 
81106 
81089 
81072 
81055 
81038 
81021 
81004 
80987 
80970 
80953 
80936 
80919 



M N.Ct*. 



N.S. 



54 Dsg. 



59889 
59412 
59438 
59459 
59482 



59506 
59529 
59552 
59576 
I59599 
59622 
59646 
59669 
59693 
59716 
59739 
59763 
59786 
59809 
59832 



80902 

80885 
80867 
80850 
80833| 
80S16 
80799 
S0782 
80705 
80748 
SO 730 
80713 
S0696 
80679 
80662 
80644 



80627 
80610 
80593 
80576: 
80558 
8054l| 
S0524J 
805071 
80489 
S0472 
80455' 
80438; 
80420: 
80403; 
80386 



59856 
59879 
59902 
59926 



80368 
803511 
80334] 
80316 
80299; 
80282 
80264 
80247 
80230 
80212 
80195 
80178 
80160 
80143 
80125 
80108 
80091 
80073 
80056 



37 Deg. 

KTa. 



60182 
60205 
60228 
60251 
60274 
60298 
60321 
60344 
60367 
60390 
60414 
G0437 
60460 
60483 
60506 
60529 



N.CS. 



60553 
60576 
60599 
60622 
60645 
60668 
60691 
60714 
60738 
60761 
60784 
60807 
60830 
60853 
60876 



60899 
,60922 
16O945 
60958 
'60991 
61015 
61038 
61061 
61084 
61107 
61130 
61153 
61176 
61199 
61222 



59949 80038 
5997280021 
59995 80003 
600 19 79986 
60042 79968 
60065; 79951 
60089.79934 
60112 79916 
60135,79899 
60I58| 79881 

53 Deer. 



61245 
61268 
61291 
61314 
61337 
61360 
61383 
61406 
61429 
61451 
61474 
61497 



79864 
79846 
79829 
7i;811 
79793 
79776 
79758 
79741 
79723 
79706 
79688 
79671 
79653 
79635 
79618 
79600 



79583 
79565 
79547 
79530 
79512 
79494 
79477 
9459 
79441 
79424 
79406 
79388 
79371 
79353 
79335 
79318 
79300 
79282 
79264 
79247 
79229 
79211 
79193 
79176 
79158 
79140 
79122 
79105 
79087 
79069 



79051 
79033 
79015 
78998 
78980 
78962 
78944 
78926 
78908 
78891 
78873 
,78855 



liH Ueg. 



61932 
61955 
61978 
62001 
62024 
62046 
62069 
62092 
02115 
62138 
62160 
62183 
62206 
62229 
62251 



62274 
62297 
62320 
62342 
62365 
62.388 
62411 
62433 
62456 
62479 
62.502 
62524 
62547 
62570 
62592 



61520 78837 
61543 78819 



N. CS. 



78801 
78783 
78765 
78747 
78729 
78711 
78694 
78676 
78658 
78640 
78622 
78604 
78586 
78568 
78550 
78_532 
78514 
78496 
78478 
78460 
78442 
78424 
78405 
78387 
78369 
78351 
78333 
78315 
78297 
78279 
78261 
78243 
78225 
8206 
78188 
78170 
78152 
78134 
78116 
78098 
78079 
78061 
78043 
78025 
78007 
77988 



N.CS . I N.S. 
52 Deg. 



62615 77970 
62638 77952 
62660 77934 
62683 77916 
62706 77897 
62728 77879 
62751 77861 
62774 77843 
62796177824 
62819177806 
62842 77788 
6286477769 
62887 77751 
62909, 77733 
N.CS? I N.S. 
51 Dcp. 



39 Deg. 



N.S. 



62932 
62955 
62977 
63000 
63022 
63045 
63068 
63090 
63113 
63135 
63158 
63180 
63203 
63225 
63248 
632J71 
63293 
63316 
63338 
63361 
63383 
63406 
63428 
63451 
63473 
63496 
63518 
63540 
63563 
63585 
63608 



63630 
63653 
63675 
63698 
63720 
63742 
63765 
63787 
63810 
63832 
63854 
63877 
63899 
63922 
63944 



63966 
63989 
64011 
64033 



N.CS. 



77715 
77&96 

77678 
77660 
77641 
77623 
77605 
77586 
77568 
77550 
77531 
77513 
77494 
77476 
77458 
77439 



77421 
77402 
77384 
77366 
77347 
77329 
77310 
77292 
77273 
77255 
77236 
77218 
77199 
77181 
77162 



77144 
77125 
77107 
77088 
77070 
77051 
77033 
77014 
76996 
76977 
76959 
76940 
76921 
76903 
76884 



76866 
76847 
76828 
76810 
64056176791 
64078 76772 
64100 76754 
64123 76735 
64145 76717 
64167 76698 
64190 76679 
64212,76661 
6423476642 
64256 76623 
N.CS. I N.S. 
"~50 Di^ 



100 



A TABLE OF NATURAL SINES. 



N.Ct5 

64279 76604 
1 64301 76586 

64323 76567 
3 64346 76548 

64368 76530 

5 64390 76511 

6 64412 76492 

7 64435 76473 



64457 
64479 
64501 
64524 
64546 
64568 
64590 
64612 



40f>^7 



76455 
76436 
76417 
76398 
76380 
76361 
76342 
76323 



64635 
64657 
64C79 
64701 
64723 
64746 
64768 
64790 
64812 
64834 
64856 
64878 
64901 
64923 
64945 



64967 
64989 
65011 
65033 
65055 



36 65077 
65099 
65122 
65144 



40 65166 

41 65188 



65210 
65232 



44 65254 

45 65276 
46 
47 



76304 
76286 
6267 
76248 
76229 
76210 
76192 
76173 
76154 
76135 
76116 
76097 
76078 
76059 
76041 



76022 
76003 

75984 
75965 
75946 
75927 
75908 
75889 
75870 
75851 
75832 
75813 
75794 
75775 
75756 



65298 
65320 
48 65342 



41 Peg 



66523 

6654 

166566 



75738 
75719 
75699 
75680 
75661 
75642 
75623 
75604 
75585 
75566 
75547 



N.CS. 



65606 75471 
65628 75452 
65650 75433 
65672 75414 
65694 75395 
65716 75375 
65738 75356 
65759 75337 
65781 75318 
65803 75299 
75280 
75261 
75241 
75222 
75203 
75184 
75165 
75146 
75126 
75107 
75088 
75069 
75050 
75030 
75011 
74992 
74973 
74953 
74934 
74915 
74896 



74876 
74857 
74838 
74818 
74799 
74780 
74760 
74741 

, 74722 

66480 74703 
66501 74683 



74664 
74644 
74625 



66588 74606 



65364 

65386 

65408 

65430 

65452 

65474 

65496 

65518 

65540175528 

65562(75509 

65584175490 

65606 [75471 

N.CS 



N. S. 



66610 74586 
66632 74567 
66653 7454S 
66675 74528 



66697 
66718 
66740 
66762 
66783 
66805 
66827 
66848 
166870 
66891 
66913 



I 49 Peg. 



N.CS 



42 Peg. 



74509 
74489 
'4470 
74451 
74431 
74412 
74392 
74373 
74353 
74334 
74314 



N.S. 



66913 
66935 
66956 
66978 
66999 
67021 
67043 
67064 
67086 
67107 
67129 
67151 
67172 
67194 
67215 
67237 



67258 
67280 
6730] 
67323 
67344 
67366 
67387 
67409 
67430 
67452 
67473 
67495 
67516 
67538 
67559 



67580 
67602 
67623 
67645 
67666 
67688 
67709 
67730 
67752 
67773 
67795 
67816 
67837 
67859 
67880 



N.S. 



48 Peg. 



N.CS. 



74314 
74295 
74276 
74256 
74237 
74217 
74198 
74178 
74159 
74139 
74120 
74100 
74080 
74061 
74041 
74022 



74002 
73983 
73963 
73944 
73924 
73904 
73885 
73865 
73846 
73826 
73806 
73787 
73767 
73747 
73728 



73708 
73688 
73669 
73649 
73629 
73610 
73590 
73570 
r3551 
73531 
73511 
73491 
73472 
73452 
73432 



67901 
67923 
67944 
67965 
67987 
68008 
68029 
68051 
68072 
68093 
68115 
68136 
68157 
68179 
68200 



43 Peg. 



N.S. N.CS. 

73135 
73116 
73096 
73076 
73056 
73036 
73016 
72996 
72976 
72957 
72937 
72917 
72897 
72877 
72857 
72837 



68200 
68221 
68242 
68264 
68285 
68306 
68327 
68349 
68370 
68391 
68412 
68433 
68455 
68476 
68497 
68518 



68539 
68561 
68582 
68603 
68624 
68645 
68666 



68709 
68730 
68751 
68772 
68793 
68814 
68835 



68857 
68878 
68899 
68920 
68941 
68962 
68983 
69004 
69025 
69046 
69067 
69088 
69109 
69130 
69151 



73412 
73393 
73373 
73353 
73333 
73314 
73294 
73274 
73254 
73234 
73215 
73195 
73175 
73155 
73135 



N. CS. I N. g 
47 Peg. 



72817 
72797 
72777 
72757 
72737 
72717 
72697 
72677 
72657 
72637 
72617 
72597 
72577 
72557 
72537 



72517 
72497 
72477 
72457 
72437 
72417 
72397 
72377 
72357 
72337 
72317 
72297 
72277 
72257 
72236 



69172 
69193 
69214 
69235 
69256 
69277 
69298 
69319 
69340 
69361 
69382 
69403 
69424 
69445 
69466 



72216 
72196 
72176 
72156 
72136 
72116 
72095 
72075 
72055 
72035 
72015 
71995 
71974 
71954 
71934 



N.CS. 



N.S. 



46 Peg. 



44 Peg. 



N.I 



69466 
69487 
69508 
69529 
69549 
69570 
69591 
69612 
69633 
69654 
69675 
69696 
69717 
69737 
69758 
69779 



N.CS. 
71934 
71914 
71894 
71873 
71853 
71833 
71813 
71792 
71772 
71752 
71732 
71711 
71691 
71671 
71650 
71630 



i 646 



69800 
69821 
69842 
69862 
69883 
69904 
69925 
69946 
69966 
69987 
70008 
70029 
70049 
70070 
70091 



70112 
70132 
70153 
70174 
70195 
70215 
70236 
70257 
70277 
70298 
70319 
70339 
70360 
70381 
70401 



71610 
71590 
71569 
71549 
71529 
71508 
71488 
71468 
71447 
71427 
71407 
71386 
71366 
71345 
71325 



71305 
71284 
71264 
71243 
71223 
71203 
71182 
71162 
71141 
71121 
71100 
71080 
71059 
71039 
71019 



70422 70998 
70443 70978 
70463 70957 
70484170937 
70505 70916 
70525170896 
70546 [70875 
70567170855 
70587 1 70834 
70608170813 
70628170793 
70649 70772 
70670170752 
70690170731 
70711170711 



59 
58 
57 
56 
55 
54 
53 
52 
51 
50 
49 
48 
47 
46 
45 
44 
43 
42 
41 
40 
39 
38 
37 
36 
35 
34 
33 
32 
31 
30 

29 
28 
27 
26 
25 
24 
23 
22 
21 
20 
19 
18 
17 
16 
15 
14 
13 
12 
11 
10 
9 
8 
7 
6 
5 
4 
3 
2 
1 




N.CS. I N.S 
45 Peg. 



I 



* 1 . j ' 






LIBRARY OF CONGRESS 



019 408 621 



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